Package 'rjd3toolkit'

Title: Utility Functions around 'JDemetra+ 3.0'
Description: R Interface to 'JDemetra+ 3.x' (<https://github.com/jdemetra>) time series analysis software. It provides functions allowing to model time series (create outlier regressors, user-defined calendar regressors, UCARIMA models...), to test the presence of trading days or seasonal effects and also to set specifications in pre-adjustment and benchmarking when using rjd3x13 or rjd3tramoseats.
Authors: Jean Palate [aut], Alain Quartier-la-Tente [aut] , Tanguy Barthelemy [aut, cre, art], Anna Smyk [aut]
Maintainer: Tanguy Barthelemy <[email protected]>
License: file LICENSE
Version: 3.2.4.9000
Built: 2024-09-08 05:57:45 UTC
Source: https://github.com/rjdverse/rjd3toolkit

Help Index


Java Utility Functions

Description

These functions are used in all JDemetra+ 3.0 packages to easily interact between R and Java objects.

Usage

.r2jd_tsdata(s)

.r2jd_tsdomain(period, startYear, startPeriod, length)

.jd2r_tsdata(s)

.jd2r_mts(s)

.jd2r_lts(s)

.jd2r_matrix(s)

.r2jd_matrix(s)

.jdomain(period, start, end)

.enum_sextract(type, p)

.enum_sof(type, code)

.enum_extract(type, p)

.enum_of(type, code, prefix)

.r2p_parameter(r)

.p2r_parameter(p)

.r2p_parameters(r)

.r2p_lparameters(r)

.p2r_parameters(p)

.p2r_parameters_rslt(p)

.p2r_parameters_rsltx(p)

.p2r_test(p)

.p2r_matrix(p)

.p2r_tsdata(p)

.r2p_tsdata(r)

.p2r_parameters_estimation(p)

.p2r_likelihood(p)

.p2r_date(p)

.r2p_date(s)

.p2r_span(span)

.r2p_span(rspan)

.p2r_arima(p)

.p2r_ucarima(p)

.p2r_spec_sarima(spec)

.r2p_spec_sarima(r)

.p2r_outliers(p)

.r2p_outliers(r)

.p2r_sequences(p)

.r2p_sequences(r)

.p2r_iv(p)

.r2p_iv(r)

.p2r_ivs(p)

.r2p_ivs(r)

.p2r_ramps(p)

.r2p_ramps(r)

.p2r_uservars(p)

.r2p_uservars(r)

.p2r_variables(p)

.p2r_sa_decomposition(p, full = FALSE)

.p2r_sa_diagnostics(p)

.p2r_spec_benchmarking(p)

.r2p_spec_benchmarking(r)

.r2jd_sarima(model)

.jd2r_ucarima(jucm)

.p2jd_calendar(pcalendar)

.r2p_calendar(r)

.proc_numeric(rslt, name)

.proc_vector(rslt, name)

.proc_int(rslt, name)

.proc_bool(rslt, name)

.proc_ts(rslt, name)

.proc_str(rslt, name)

.proc_desc(rslt, name)

.proc_test(rslt, name)

.proc_parameter(rslt, name)

.proc_parameters(rslt, name)

.proc_matrix(rslt, name)

.proc_data(rslt, name)

.proc_dictionary(name)

.proc_dictionary2(jobj)

.proc_likelihood(jrslt, prefix)

.r2p_moniker(r)

.p2r_moniker(p)

.r2p_datasupplier(name, r)

.p2r_metadata(p)

.r2p_metadata(r, type)

.p2r_ts(p)

.r2p_ts(r)

.p2r_tscollection(p)

.r2p_tscollection(r)

.r2jd_ts(s)

.jd2r_ts(js)

.r2jd_tscollection(s)

.jd2r_tscollection(js)

.p2r_datasupplier(p)

.r2p_datasuppliers(r)

.p2r_datasuppliers(p)

.p2jd_variables(p)

.jd2p_variables(jd)

.jd2r_variables(jcals)

.r2jd_variables(r)

.p2r_context(p)

.r2p_context(r)

.p2jd_context(p)

.jd2p_context(jd)

.jd2r_modellingcontext(jcontext)

.r2jd_modellingcontext(r)

.p2r_calendars(p)

.r2p_calendars(r)

.p2jd_calendars(p)

.jd2p_calendars(jd)

.jd2r_calendars(jcals)

.r2jd_calendars(r)

.jd3_object(jobjRef, subclasses = NULL, result = FALSE)

.p2r_regarima_rslts(p)

.r2jd_tmp_ts(s, name)

.r2jd_make_ts(source, id, type = "All")

.r2jd_make_tscollection(source, id, type = "All")

DATE_MIN

DATE_MAX

Arguments

p, r, spec, model, jucm, start, end, name, s, period, startYear, startPeriod, length, type, code, prefix, span, rspan, full, rslt, jobj, jrslt, jd, jcontext, jobjRef, subclasses, result, pcalendar

parameters.

Format

An object of class Message of length 3.

An object of class Message of length 3.


Manage Outliers/Ramps in Specification

Description

Generic function to add outliers or Ramp regressors (add_outlier() and add_ramp()) to a specification or to remove them (remove_outlier() and remove_ramp()).

Usage

add_outlier(x, type, date, name = sprintf("%s (%s)", type, date), coef = 0)

remove_outlier(x, type = NULL, date = NULL, name = NULL)

add_ramp(x, start, end, name = sprintf("rp.%s - %s", start, end), coef = 0)

remove_ramp(x, start = NULL, end = NULL, name = NULL)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

type, date

type and date of the outliers. Possible type are: "AO" = additive, "LS" = level shift, "TC" = transitory change and "SO" = seasonal outlier.

name

the name of the variable (to format print).

coef

the coefficient if needs to be fixed. If equal to 0 the outliers/ramps coefficients are estimated.

start, end

dates of the ramp regressor.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()). If a Seasonal adjustment process is performed, each type of Outlier will be allocated to a pre-defined component after the decomposition: "AO" and "TC" to the irregular, "LS" and Ramps to the trend.

References

More information on outliers and other auxiliary variables in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

add_usrdefvar, intervention_variable

Examples

# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<-rjd3toolkit::add_outlier(init_spec, type="AO", date="2012-01-01")
# ramp on year 2012
# new_spec<-rjd3toolkit::add_ramp(init_spec,start="2012-01-01",end="2012-12-01")

Add a User-Defined Variable to Pre-Processing Specification.

Description

Function allowing to add any user-defined regressor to a specification and allocate its effect to a selected component, excepted to the calendar component. To add user-defined calendar regressors, set_tradingdays. Once added to a specification, the external regressor(s) will also have to be added to a modelling context before being used in an estimation process. see modelling_context and example.

Usage

add_usrdefvar(
  x,
  group = "r",
  name,
  label = paste0(group, ".", name),
  lag = 0,
  coef = NULL,
  regeffect = c("Undefined", "Trend", "Seasonal", "Irregular", "Series",
    "SeasonallyAdjusted")
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

group, name

the name of the regressor in the format "group.name", by default "r.name" by default if group NULL "group.name" has to be the same as in modelling_context (see examples)

label

the label of the variable to be displayed when printing specification or results. By default equals to group.name.

lag

integer defining if the user-defined variable should be lagged. By default (lag = 0), the regressor xtx_t is not lagged. If lag = 1, then xt1x_{t-1} is used.

coef

the coefficient, if needs to be fixed.

regeffect

component to which the effect of the user-defined variable will be assigned. By default ("Undefined"), see details.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()). Components to which the effect of the regressor can be allocated:

  • "Undefined" : the effect of the regressor is assigned to an additional component, the variable is used to improve the pre-processing step, but is not removed from the series for the decomposition.

  • "Trend": after the decomposition the effect is allocated to the trend component, like a Level-Shift

  • "Irregular": after the decomposition the effect is allocated to the irregular component, like an Additive-outlier.

  • "Seasonal": after the decomposition the effect is allocated to the seasonal component, like a Seasonal-outlier

  • "Series": after the decomposition the effect is allocated to the raw series: yct=yt+effectyc_t=y_t+ effect

  • "Seasonally Adjusted": after the decomposition the effect is allocated to the seasonally adjusted series: sat=T+I+effectsa_t=T+I+effect

References

More information on outliers and other auxiliary variables in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

set_tradingdays, intervention_variable

Examples

# creating one or several external regressors (TS objects),
# which will be gathered in one or several groups
iv1<-intervention_variable(12, c(2000, 1), 60,
starts = "2001-01-01", ends = "2001-12-01")
iv2<- intervention_variable(12, c(2000, 1), 60,
starts = "2001-01-01", ends = "2001-12-01", delta = 1)
# configuration 1: regressors in the same default group (named "r")
variables<-list("iv1"=iv1, "iv2"=iv2)
# to use those regressors, input : name=r.iv1 and r.iv2 in add_usrdefvar function
# configuration 2: group names are user-defined
# here: regressors as a list of two groups (lists) reg1 and reg2
vars<-list(reg1=list(iv1 = iv1),reg2=list(iv2 = iv2) )
# to use those regressors, input : name=reg1.iv1 and name=reg2.iv2 in add_usrdefvar function
# creating the modelling context
my_context<-modelling_context(variables=vars)
# customize a default specification
# init_spec <- rjd3x13::x13_spec("RSA5c")
# regressors have to be added one by one
# new_spec<- add_usrdefvar(init_spec,name = "reg1.iv1", regeffect="Trend")
# new spec<- add_usrdefvar(new_spec,name = "reg2.iv2", regeffect="Trend", coef=0.7)
# modelling context is needed for the estimation phase
# sa_x13<- rjd3x13::x13(ABS$X0.2.09.10.M, new_spec, context = my_context)

Aggregation of time series

Description

Makes a frequency change of this series.

Usage

aggregate(
  s,
  nfreq = 1,
  conversion = c("Sum", "Average", "First", "Last", "Min", "Max"),
  complete = TRUE
)

Arguments

s

the input time series.

nfreq

the new frequency. Must be la divisor of the frequency of s.

conversion

Aggregation mode: sum ("Sum"), average ("Average"), first observation ("First"), last observation ("Last"), minimum ("Min"), maximum ("Max").

complete

Boolean indicating if the observation for a given period in the new series is set missing if some data in the original series are missing.

Value

A new time series of frequency nfreq.

Examples

s = ABS$X0.2.09.10.M
# Annual sum
aggregate(s, nfreq = 1, conversion = "Sum") # first and last years removed
aggregate(s, nfreq = 1, conversion = "Sum", complete = FALSE)
# Quarterly mean
aggregate(s, nfreq = 4, conversion = "Average")

Remove an arima model from an existing one. More exactly, m_diff = m_left - m_right iff m_left = m_right + m_diff.

Description

Remove an arima model from an existing one. More exactly, m_diff = m_left - m_right iff m_left = m_right + m_diff.

Usage

arima_difference(left, right, simplify = TRUE)

Arguments

left

Left operand (JD3_ARIMA object)

right

Right operand (JD3_ARIMA object)

simplify

Simplify the results if possible (common roots in the auto-regressive and in the moving average polynomials, including unit roots)

Value

a "JD3_ARIMA" model.

Examples

mod1 = arima_model(delta = c(1,-2,1))
mod2 = arima_model(variance=.01)
diff <- arima_difference(mod1, mod2)
sum <- arima_sum(diff, mod2)
# sum should be equal to mod1

ARIMA Model

Description

ARIMA Model

Usage

arima_model(name = "arima", ar = 1, delta = 1, ma = 1, variance = 1)

Arguments

name

Name of the model.

ar

coefficients of the regular auto-regressive polynomial (1 + ar(1)B + ar(2)B + ...). True signs.

delta

non stationary auto-regressive polynomial.

ma

coefficients of the regular moving average polynomial (1 + ma(1)B + ma(2)B + ...). True signs.

variance

variance.

Value

a "JD3_ARIMA" model.


Properties of an ARIMA model; the (pseudo-)spectrum and the auto-covariances of the model are returned

Description

Properties of an ARIMA model; the (pseudo-)spectrum and the auto-covariances of the model are returned

Usage

arima_properties(model, nspectrum = 601, nac = 36)

Arguments

model

a "JD3_ARIMA" model (created with arima_model()).

nspectrum

number of points to calculate the spectrum; th points are uniformly distributed in [0, pi]

nac

maximum lag at which to calculate the auto-covariances; if the model is non-stationary, the auto-covariances are computed on its stationary transformation.

Value

A list with tha auto-covariances and with the (pseudo-)spectrum

Examples

mod1 <- arima_model(ar = c(0.1, 0.2), delta = c(1,-1), ma = 0)
arima_properties(mod1)

Sum ARIMA Models

Description

Sum ARIMA Models

Usage

arima_sum(...)

Arguments

...

list of ARIMA models (created with arima_model()).

Details

Adds several Arima models, considering that their innovations are independent. The sum of two Arima models is computed as follows: the auto-regressive parts (stationary and non stationary of the aggregated model are the smaller common multiple of the corresponding polynomials of the components. The sum of the acf of the modified moving average polynomials is then computed and factorized, to get the moving average polynomial and innovation variance of the sum.

Value

a "JD3_ARIMA" model.

Examples

mod1 = arima_model(ar = c(0.1, 0.2), delta = 0, ma = 0)
mod2 = arima_model(ar = 0, delta = 0, ma = c(0.4))
arima_sum(mod1, mod2)

Autocorrelation Functions

Description

Autocorrelation Functions

Usage

autocorrelations(data, mean = TRUE, n = 15)

autocorrelations_partial(data, mean = TRUE, n = 15)

autocorrelations_inverse(data, nar = 30, n = 15)

Arguments

data

data being tested.

mean

Mean correction. If TRUE, the auto-correlations are computed as usual. If FALSE, we consider that the (known) mean is 0 and that the series has been corrected for it.

n

maximum lag at which to calculate the stats.

nar

number of AR lags used to compute inverse autocorrelations.

Examples

x = ABS$X0.2.09.10.M
autocorrelations(x)
autocorrelations_partial(x)
autocorrelations_inverse(x)

Trading day regressors with pre-defined holidays

Description

Allows to generate trading day regressors (as many as defined groups), taking into account 7 or less different types of days, from Monday to Sunday, and specific holidays,which are to defined beforehand in a calendar using the functions national_calendar,weighted_calendar or Chained_calendar.

Usage

calendar_td(
  calendar,
  frequency,
  start,
  length,
  s,
  groups = c(1, 2, 3, 4, 5, 6, 0),
  holiday = 7,
  contrasts = TRUE
)

Arguments

calendar

The calendar containing the required holidays

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

groups

Groups of days. The length of the array must be 7. It indicates to what group each week day belongs. The first item corresponds to Mondays and the last one to Sundays. The group used for contrasts (usually Sundays) is identified by 0. The other groups are identified by 1, 2,... n (<= 6). For instance, usual trading days are defined by c(1,2,3,4,5,6,0), week days by c(1,1,1,1,1,0,0), week days, Saturdays, Sundays by c(1,1,1,1,1,2,0) etc...

holiday

Day to aggregate holidays with. (holidays are considered as that day). 1 for Monday... 7 for Sunday. Doesn't necessary belong to the 0-group.

contrasts

If true, the variables are defined by contrasts with the 0-group. Otherwise, raw number of days is provided.

Details

Aggregated values for monthly or quarterly are the numbers of days belonging to a given group, holidays are all summed together in of those groups. Contrasts are the differences between the number of days in a given group (1 to 6) and the number of days in the reference group (0). Regressors are corrected for long-term mean if contrasts = TRUE.

Value

Time series (object of class c("ts","mts","matrix")) corresponding to each group, starting with the 0-group (contrasts = FALSE) or the 1-group (contrasts = TRUE).

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

national_calendar, td

Examples

BE <- national_calendar(list(
    fixed_day(7,21),
    special_day("NEWYEAR"),
    special_day("CHRISTMAS"),
    special_day("MAYDAY"),
    special_day("EASTERMONDAY"),
    special_day("ASCENSION"),
    special_day("WHITMONDAY"),
    special_day("ASSUMPTION"),
    special_day("ALLSAINTSDAY"),
    special_day("ARMISTICE")))
calendar_td(BE, 12, c(1980,1), 240, holiday=7, groups=c(1,1,1,2,2,3,0),
contrasts = FALSE)

Create a Chained Calendar

Description

Allows to combine two calendars, one before and one after a given date.

Usage

chained_calendar(calendar1, calendar2, break_date)

Arguments

calendar1, calendar2

calendars to chain.

break_date

the break date in the format "YYYY-MM-DD".

Details

A chained calendar is an useful option when major changes in the composition of the holidays take place. In such a case two calendars describing the situation before and after the change of regime can be defined and bound together, one before the break and one after the break.

Value

returns an object of class c("JD3_CHAINEDCALENDAR","JD3_CALENDARDEFINITION")

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, weighted_calendar

Examples

Belgium <- national_calendar(list(special_day("NEWYEAR"),fixed_day(7,21)))
France <- national_calendar(list(special_day("NEWYEAR"),fixed_day(7,14)))
chained_cal<-chained_calendar(France, Belgium, "2000-01-01")

Removal of missing values at the beginning/end

Description

Removal of missing values at the beginning/end

Usage

clean_extremities(s)

Arguments

s

Original series

Value

Cleaned series

Examples

y <- window(ABS$X0.2.09.10.M, start = 1982, end = 2018, extend = TRUE)
y
clean_extremities(y)

Compare the annual totals of two series (usually the raw series and the seasonally adjusted series)

Description

Compare the annual totals of two series (usually the raw series and the seasonally adjusted series)

Usage

compare_annual_totals(raw, sa)

Arguments

raw

Raw series

sa

Seasonally adjusted series

Value

The largest annual difference (in percentage of the average level of the seasonally adjusted series)


Promote a R time series to a "full" ts of jdemetra

Description

Promote a R time series to a "full" ts of jdemetra

Usage

data_to_ts(s, name)

Arguments

s

R time series

name

name of the series

Examples

s<-ABS$X0.2.09.10.M
t<-data_to_ts(s,"test")

Provides a list of dates corresponding to each period of the given time series

Description

Provides a list of dates corresponding to each period of the given time series

Usage

daysOf(ts, pos = 1)

Arguments

ts

A time series

pos

The position of the first considered period.

Value

A list of the starting dates of each period

Examples

daysOf(retail$BookStores)

The Chi-Squared Distribution

Description

Density, (cumulative) distribution function and random generation for chi-squared distribution.

Usage

density_chi2(df, x)

cdf_chi2(df, x)

random_chi2(df, n)

Arguments

df

degrees of freedom.

x

vector of quantiles.

n

number of observations.


The Gamma Distribution

Description

Density, (cumulative) distribution function and random generation for Gamma distribution.

Usage

density_gamma(shape, scale, x)

cdf_gamma(shape, scale, x)

random_gamma(shape, scale, n)

Arguments

shape, scale

shape and scale parameters.

x

vector of quantiles.

n

number of observations.


The Inverse-Gamma Distribution

Description

Density, (cumulative) distribution function and random generation for inverse-gamma distribution.

Usage

density_inverse_gamma(shape, scale, x)

cdf_inverse_gamma(shape, scale, x)

random_inverse_gamma(shape, scale, n)

Arguments

shape, scale

shape and scale parameters.

x

vector of quantiles.

n

number of observations.


The Inverse-Gaussian Distribution

Description

Density, (cumulative) distribution function and random generation for inverse-gaussian distribution.

Usage

density_inverse_gaussian(shape, scale, x)

cdf_inverse_gaussian(shape, scale, x)

random_inverse_gaussian(shape, scale, n)

Arguments

shape, scale

shape and scale parameters.

x

vector of quantiles.

n

number of observations.


The Student Distribution

Description

Density, (cumulative) distribution function and random generation for Student distribution.

Usage

density_t(df, x)

cdf_t(df, x)

random_t(df, n)

Arguments

df

degrees of freedom.

x

vector of quantiles.

n

number of observations.

Examples

# T with 2 degrees of freedom.
z <- density_t(2, .01 * seq(-100, 100, 1))
# T with 2 degrees of freedom. 100 random
z <- random_t(2, 100)

Deprecated functions

Description

Use sa_decomposition() instead of sa.decomposition().

Usage

sa.decomposition(x, ...)

Arguments

x

the object to print.

...

further arguments.


Generic Diagnostics Function

Description

Generic Diagnostics Function

Usage

diagnostics(x, ...)

## S3 method for class 'JD3'
diagnostics(x, ...)

Arguments

x

the object to extract diagnostics.

...

further arguments.


Get Dictionary and Result

Description

Extract dictionary of a "JD3_ProcResults" object (dictionary()) and extract a specific value (result()) or a list of values (user_defined()).

Usage

dictionary(object)

result(object, id)

user_defined(object, userdefined = NULL)

Arguments

object

the java object.

id

the name of the object to extract.

userdefined

vector containing the names of the object to extract.


Differencing of a series

Description

Differencing of a series

Usage

differences(data, lags = 1, mean = TRUE)

Arguments

data

The series to be differenced.

lags

Lags of the differencing.

mean

Mean correction.

Value

The differenced series.

Examples

differences(retail$BookStores, c(1,1,12), FALSE)

Automatic differencing

Description

The series is differentiated till its variance is decreasing.

Usage

differencing_fast(data, period, mad = TRUE, centile = 90, k = 1.2)

Arguments

data

Series being differenced.

period

Period considered in the automatic differencing.

mad

Use of MAD in the computation of the variance (true by default).

centile

Percentage of the data used for computing the variance (90 by default).

k

tolerance in the decrease of the variance. The algorithm stops if the new varance is higher than k*the old variance.

Value

Stationary transformation

  • ddata: data after differencing

  • mean: mean correction

  • differences:

    • lag: ddata(t)=data(t)-data(t-lag)

    • order: order of the differencing

Examples

differencing_fast(log(ABS$X0.2.09.10.M),12)

Automatic stationary transformation

Description

Stationary transformation of a series by simple differencing of lag 1. Automatic processing (identification of the order of the differencing) based on auto-correlations and on mean correction. The series should not be seasonal. Source: Tramo

Usage

do_stationary(data, period)

Arguments

data

Series being differenced.

period

Period of the series.

Value

Stationary transformation

  • ddata: data after differencing

  • mean: mean correction

  • differences:

    • lag: ddata(t)=data(t)-data(t-lag)

    • order: order of the differencing

Examples

do_stationary(log(ABS$X0.2.09.10.M),12)

Display Easter Sunday dates in given period

Description

Allows to display the date of Easter Sunday for each year, in the defined period. Dates are displayed in "YYYY-MM-DD" format and as a number of days since January 1st 1970.

Usage

easter_dates(year0, year1, julian = FALSE)

Arguments

year0, year1

starting year and ending year

julian

Boolean indicating if Julian calendar must be used.

Value

a named numeric vector. Names are the dates in format "YYYY-MM-DD", values are number of days since January 1st 1970.

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, easter_day

Examples

#Dates from 2018(included) to 2023 (included)
easter_dates(2018, 2023)

Set a Holiday on an Easter related day

Description

Allows to define a holiday which date is related to Easter Sunday.

Usage

easter_day(offset, julian = FALSE, weight = 1, validity = NULL)

Arguments

offset

The position of the holiday in relation to Easter Sunday, measured in days (can be positive or negative).

julian

Boolean indicating if Julian calendar must be used.

weight

weight associated to the holiday.

validity

validity period: either NULL (full sample) or a named list with "start" and/or "end" dates in the format "YYYY-MM-DD".

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, fixed_day,special_day,fixed_week_day

Examples

easter_day(1) #Easter Monday
easter_day(-2) # Easter Good Friday
# Corpus Christi 60 days after Easter
# Sunday in Julian calendar with weight 0.5, from January 2000 to December 2020
easter_day(offset=60,julian=TRUE,weight=0.5,
validity = list(start="2000-01-01", end = "2020-12-01"))

Easter regressor

Description

Allows to generate a regressor taking into account the (Julian) Easter effect in monthly or quarterly time series.

Usage

easter_variable(
  frequency,
  start,
  length,
  s,
  duration = 6,
  endpos = -1,
  correction = c("Simple", "PreComputed", "Theoretical", "None")
)

julianeaster_variable(frequency, start, length, s, duration = 6)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

duration

Duration (length in days) of the Easter effect. (value between 1 and 20, default =6)

endpos

Position of the end of the Easter effect, relatively to Easter: -1(default): before Easter Sunday, 0: on Easter Sunday, 1: on Easter Monday)

correction

mean correction option. Simple"(default), "PreComputed", "Theoretical" or "None".

Value

A time series (object of class "ts")

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

calendar_td

Examples

#Monthly regressor, five-year long, duration 8 days, effect finishing on Easter Monday
ee<-easter_variable(12, c(2020,1),length=5*12,duration=8, endpos=1)

Set a holiday on a Fixed Day

Description

creates a holiday falling on a fixed day each year, with an optional weight and period of validity, like Christmas which is always celebrated on December 25th.

Usage

fixed_day(month, day, weight = 1, validity = NULL)

Arguments

month, day

the month and the day of the fixed day to add.

weight

weight associated to the holiday.

validity

validity period: either NULL (full sample) or a named list with "start" and/or "end" dates in the format "YYYY-MM-DD".

Value

returns an object of class c("JD3_FIXEDDAY","JD3_HOLIDAY")

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, special_day,easter_day

Examples

day <- fixed_day(7, 21, .9)
day  # July 21st, with weight=0.9, on the whole sample
day <- fixed_day(12, 25, .5, validity = list(start = "2010-01-01"))
day # December 25th, with weight=0.5, from January 2010
day <- fixed_day(12, 25, .5, validity = list(start="1968-02-01", end = "2010-01-01"))
day # December 25th, with weight=0.9, from February 1968 until January 2010

Set a Holiday on a Fixed Week Day

Description

Allows to define a holiday falling on a fixed week day each year, like Labour Day in the USA which is always celebrated on the first Monday of September.

Usage

fixed_week_day(month, week, dayofweek, weight = 1, validity = NULL)

Arguments

month

month of the holiday: from 1 (January) to 12 (December).

week

position of the specified week day in the month: from 1 (first week of the month) to 5. Should be always lower than 5. -1 for the last dayofweek of the month.

dayofweek

day of the week: from 1 (Monday) to 7 (Sunday).

weight

weight associated to the holiday.

validity

validity period: either NULL (full sample) or a named list with "start" and/or "end" dates in the format "YYYY-MM-DD".

Value

returns an object of class c("JD3_FIXEDWEEKDAY","JD3_HOLIDAY")

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, fixed_day,special_day,easter_day

Examples

day <- fixed_week_day(9, 1, 1) # first Monday(1) of September.
day

Daily calendar regressors corresponding to holidays

Description

Allows to generate daily regressors (dummy variables) corresponding to each holiday of a pre-defined calendar.

Usage

holidays(
  calendar,
  start,
  length,
  nonworking = c(6, 7),
  type = c("Skip", "All", "NextWorkingDay", "PreviousWorkingDay"),
  single = FALSE
)

Arguments

calendar

The calendar in which the holidays are defined.

start

Starting date for the regressors, format "YYYY-MM-DD".

length

Length of the regressors in days.

nonworking

Indexes of non working days (Monday=1, Sunday=7).

type

Adjustment type when a holiday falls on a week-end: "NextWorkingDay": the holiday is set to the next day, "PreviousWorkingDay": the holiday is set to the previous day, "Skip": holidays corresponding to non working days are simply skipped in the matrix, "All": (holidays are always put in the matrix, even if they correspond to a non working day.

single

Boolean indication if a single variable (TRUE) should be returned or a matrix (FALSE, the default) containing the different holidays in separate columns.

Details

The pre-defined in a calendar has to be created with the functions national_calendar or weighted_calendar or weighted_calendar. A many regressors as defined holidays are generated, when the holiday occurs the value is 1 and 0 otherwise. This kind of non-aggregated regressors are used for calendar correction in daily data.

Value

A matrix (class "matrix") where each column is associated to a holiday (in the order of creation of the holiday) and each row to a date.

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

calendar_td

Examples

BE <- national_calendar(list(
  fixed_day(7,21),
  special_day("NEWYEAR"),
  special_day("CHRISTMAS"),
  special_day("MAYDAY"),
  special_day("EASTERMONDAY"),
  special_day("ASCENSION"),
  special_day("WHITMONDAY"),
  special_day("ASSUMPTION"),
  special_day("ALLSAINTSDAY"),
  special_day("ARMISTICE")))
q<-holidays(BE, "2021-01-01", 366*10, type="All")
plot(apply(q,1, max))

Intervention variable

Description

Function allowing to create external regressors as sequences of zeros and ones. The generated variables will have to be added with add_usrdefvar function will require a modelling context definition with modelling_context to be used in an estimation process.

Usage

intervention_variable(
  frequency,
  start,
  length,
  s,
  starts,
  ends,
  delta = 0,
  seasonaldelta = 0
)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

starts, ends

characters specifying sequences of starts/ends dates for the intervention variable. Can be characters or integers.

delta

regular differencing order.

seasonaldelta

seasonal differencing order.

Details

Intervention variables are combinations of any possible sequence of ones and zeros (the sequence of ones being defined by the parameters starts and ends) and of 1(1B)d\frac{1}{(1-B)^d} and 1(1Bs)D\frac{1}{(1-B^s)^D} where BB is the backwards operator, ss is the frequency of the time series, dd and DD are the parameters delta and seasonaldelta.

For example, with delta = 0 and seasonaldelta = 0 we get temporary level shifts defined by the parameters starts and ends. With delta = 1 and seasonaldelta = 0 we get the cumulative sum of temporary level shifts, once differenced the regressor will become a classical level shift.

References

More information on auxiliary variables in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

modelling_context, add_usrdefvar

Examples

iv1<-intervention_variable(12, c(2000, 1), 60,
    starts = "2001-01-01", ends = "2001-12-01")
plot(iv1)
iv2<- intervention_variable(12, c(2000, 1), 60,
    starts = "2001-01-01", ends = "2001-12-01", delta = 1)
plot (iv2)
# using one variable in a a seasonal adjustment process
# regressors as a list of two groups reg1 and reg2
vars<-list(reg1=list(x = iv1),reg2=list(x = iv2) )
# creating the modelling context
my_context<-modelling_context(variables=vars)
# customize a default specification
# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<- add_usrdefvar(init_spec,id = "reg1.iv1", regeffect="Trend")
# modelling context is needed for the estimation phase
# sa_x13<- rjd3x13::x13(ABS$X0.2.09.10.M, new_spec, context = my_context)

JD3 print functions

Description

JD3 print functions

Usage

## S3 method for class 'JD3_ARIMA'
print(x, ...)

## S3 method for class 'JD3_UCARIMA'
print(x, ...)

## S3 method for class 'JD3_SARIMA'
print(x, ...)

## S3 method for class 'JD3_SARIMA_ESTIMATION'
print(x, digits = max(3L, getOption("digits") - 3L), ...)

## S3 method for class 'JD3_SPAN'
print(x, ...)

## S3 method for class 'JD3_LIKELIHOOD'
print(x, ...)

## S3 method for class 'JD3_REGARIMA_RSLTS'
print(
  x,
  digits = max(3L, getOption("digits") - 3L),
  summary_info = getOption("summary_info"),
  ...
)

Arguments

x

the object to print.

...

further unused parameters.

digits

minimum number of significant digits to be used for most numbers.

summary_info

boolean indicating if a message suggesting the use of the summary function for more details should be printed. By default used the option "summary_info" it used, which initialized to TRUE.


Title

Description

Title

Usage

likelihood(
  nobs,
  neffectiveobs = NA,
  nparams = 0,
  ll,
  adjustedll = NA,
  aic,
  aicc,
  bic,
  bicc,
  ssq
)

Arguments

ssq

Ljung-Box Test

Description

Compute Ljung-Box test to check the independence of a data.

Usage

ljungbox(data, k = 1, lag = 1, nhp = 0, sign = 0, mean = TRUE)

Arguments

data

data being tested.

k

number of auto-correlations used in the test

lag

number of lags used between two auto-correlations.

nhp

number of hyper parameters (to correct the degree of freedom)

sign

if sign = 1, only positive auto-corrrelations are considered in the test. If sign = -1, only negative auto-correlations are considered. If sign = 0, all auto-correlations are integrated in the test.

mean

Mean correction. If TRUE, the auto-correlations are computed as usual. If FALSE, we consider that the (known) mean is 0 and that the series has been corrected for it.

Value

A c("JD3_TEST", "JD3") object (see statisticaltest() for details).

Examples

ljungbox(random_t(2, 100), lag = 24, k =1)
ljungbox(ABS$X0.2.09.10.M, lag = 24, k =1)

Display Long-term means for a set of calendar regressors

Description

Given a pre-defined calendar and set of groups, the function displays the long-term means which would be used to seasonally adjust the corresponding regressors, as the final value using contrasts is "number of days in the group - long term mean".

Usage

long_term_mean(
  calendar,
  frequency,
  groups = c(1, 2, 3, 4, 5, 6, 0),
  holiday = 7
)

Arguments

calendar

The calendar containing the required holidays

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

groups

Groups of days. The length of the array must be 7. It indicates to what group each week day belongs. The first item corresponds to Mondays and the last one to Sundays. The group used for contrasts (usually Sundays) is identified by 0. The other groups are identified by 1, 2,... n (<= 6). For instance, usual trading days are defined by c(1,2,3,4,5,6,0), week days by c(1,1,1,1,1,0,0), week days, Saturdays, Sundays by c(1,1,1,1,1,2,0) etc...

holiday

Day to aggregate holidays with. (holidays are considered as that day). 1 for Monday... 7 for Sunday. Doesn't necessary belong to the 0-group.

Details

A long-term mean is a probability based computation of the average value for every period in every group. (see references). For monthly regressors there are 12 types of periods (January to December).

Value

returns an object of class c("matrix","array") with the long term means corresponding to each group/period, starting with the 0-group.

Examples

BE <- national_calendar(list(
fixed_day(7,21),
special_day("NEWYEAR"),
special_day("CHRISTMAS"),
special_day("MAYDAY"),
special_day("EASTERMONDAY"),
special_day("ASCENSION"),
special_day("WHITMONDAY"),
special_day("ASSUMPTION"),
special_day("ALLSAINTSDAY"),
special_day("ARMISTICE")))
lt<-long_term_mean(BE,12,
                  groups = c(1,1,1,1,1,0,0),
                  holiday = 7)

Leap Year regressor

Description

Allows to generate a regressor correcting for the leap year or length-of-period effect.

Usage

lp_variable(
  frequency,
  start,
  length,
  s,
  type = c("LeapYear", "LengthOfPeriod")
)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

type

the modelling of the leap year effect: as a contrast variable (type = "LeapYear", default) or by a length-of-month (or length-of-quarter; type = "LengthOfPeriod").

Value

Time series (object of class "ts")

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

calendar_td

Examples

# Leap years occur in year 2000, 2004, 2008 and 2012
lp_variable(4, start = c(2000, 1), length = 4*13)
lper<-lp_variable(12,c(2000,1),length=10*12,type ="LengthOfPeriod")

Title

Description

Title

Usage

mad(data, centile = 50, medianCorrected = TRUE)

Arguments

medianCorrected

Create context

Description

Function allowing to include calendars and external regressors in a format that makes them usable in an estimation processes (seasonal adjustment or pre-processing). The regressors can be created with functions available in the package or come from any other source, provided they are "TS" class objects.

Usage

modelling_context(calendars = NULL, variables = NULL)

Arguments

calendars

list of calendars.

variables

list of variables.

Value

list of calendars and variables

References

More information on auxiliary variables in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

add_usrdefvar, intervention_variable

Examples

# creating one or several external regressors (TS objects), which will
# be gathered in one or several groups
iv1<-intervention_variable(12, c(2000, 1), 60,
starts = "2001-01-01", ends = "2001-12-01")
iv2<- intervention_variable(12, c(2000, 1), 60,
starts = "2001-01-01", ends = "2001-12-01", delta = 1)
# regressors as a list of two groups reg1 and reg2
vars<-list(reg1=list(x = iv1),reg2=list(x = iv2) )
# creating the modelling context
my_context<-modelling_context(variables=vars)
# customize a default specification
# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<- add_usrdefvar(init_spec,name = "reg1.iv1", regeffect="Trend")
# modelling context is needed for the estimation phase
# sa_x13<- rjd3x13::x13(ABS$X0.2.09.10.M, new_spec, context = my_context)

Create a National Calendar

Description

Will create a calendar as a list of days corresponding to the required holidays. The holidays have to be generated by one of these functions: fixed_day(), fixed_week_day(), easter_day(), special_day() or single_day().

Usage

national_calendar(days, mean_correction = TRUE)

Arguments

days

list of holidays to be taken into account in the calendar

Value

returns an object of class c("JD3_CALENDAR","JD3_CALENDARDEFINITION")

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

chained_calendar, weighted_calendar

Examples

#Fictional calendar using all possibilities to set the required holidays
MyCalendar <- national_calendar(list(
  fixed_day(7,21),
  special_day("NEWYEAR"),
  special_day("CHRISTMAS"),
  fixed_week_day(7, 2, 3), # second Wednesday of July
  special_day("MAYDAY"),
  easter_day(1), # Easter Monday
  easter_day(-2), # Good Friday
  single_day("2001-09-11"), # appearing once
  special_day("ASCENSION"),
  easter_day(offset=60, julian=FALSE, weight=0.5,
  validity = list(start="2000-01-01", end = "2020-12-01")),  # Corpus Christi
  special_day("WHITMONDAY"),
  special_day("ASSUMPTION"),
  special_day("ALLSAINTSDAY"),
  special_day("ARMISTICE")))

Normality Tests

Description

Set of functions to test the normality of a time series.

Usage

bowmanshenton(data)

doornikhansen(data)

jarquebera(data, k = 0, sample = TRUE)

skewness(data)

kurtosis(data)

Arguments

data

data being tested.

k

number of degrees of freedom to be subtracted if the input time series is a series of residuals.

sample

boolean indicating if unbiased empirical moments should be computed.

Value

A c("JD3_TEST", "JD3") object (see statisticaltest for details).

Functions

  • bowmanshenton(): Bowman-Shenton test

  • doornikhansen(): Doornik-Hansen test

  • jarquebera(): Jarque-Bera test

  • skewness(): Skewness test

  • kurtosis(): Kurtosis test

Examples

x <- rnorm(100)  # null
bowmanshenton(x)
doornikhansen(x)
jarquebera(x)

x <- random_t(2, 100) # alternative
bowmanshenton(x)
doornikhansen(x)
jarquebera(x)

Generating Outlier regressors

Description

Generating Outlier regressors

Usage

ao_variable(frequency, start, length, s, pos, date = NULL)

tc_variable(frequency, start, length, s, pos, date = NULL, rate = 0.7)

ls_variable(frequency, start, length, s, pos, date = NULL, zeroended = TRUE)

so_variable(frequency, start, length, s, pos, date = NULL, zeroended = TRUE)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

pos, date

the date of the outlier, defined by the position in period compared to the first date (pos parameter) or by a specific date defined in the format "YYYY-MM-DD".

rate

the decay rate of the transitory change regressor (see details).

zeroended

Boolean indicating if the regressor should end by 0 (zeroended = TRUE, default) or 1 (zeroended = FALSE), argument valid only for LS and SO.

Details

An additive outlier (AO, ao_variable) is defined as:

AOt={1if t=t00if tt0AO_t = \begin{cases}1 &\text{if } t=t_0 \\ 0 & \text{if }t\ne t_0\end{cases}

A level shift (LS, ls_variable) is defined as (if zeroended = TRUE):

LSt={1if t<t00if tt0LS_t = \begin{cases}-1 &\text{if } t < t_0 \\ 0 & \text{if }t\geq t_0 \end{cases}

A transitory change (TC, tc_variable) is defined as:

TCt={0if t<t0αtt0tt0TC_t = \begin{cases} 0 &\text{if }t < t_0 \\ \alpha^{t-t_0} & t\geq t_0 \end{cases}

A seasonal outlier (SO, so_variable) is defined as (if zeroended = TRUE):

SOt={0if tt01if t<t0 and t same periode as t01s1otherwise SO_t = \begin{cases} 0 &\text{if }t\geq t_0 \\ -1 & \text{if }t < t_0 \text{ and $t$ same periode as }t_0\\ -\frac{1}{s-1} & \text{otherwise }\end{cases}

Examples

#Outliers in February 2002
ao <- ao_variable(12, c(2000,1), length = 12*4, date = "2002-02-01")
ls <- ls_variable(12, c(2000,1), length = 12*4, date = "2002-02-01")
tc <- tc_variable(12, c(2000,1), length = 12*4, date = "2002-02-01")
so <- so_variable(12, c(2000,1), length = 12*4, date = "2002-02-01")
plot.ts(ts.union(ao, ls, tc, so), plot.type = "single",
        col = c("black", "orange", "green", "gray"))

Period splines

Description

Period splines

Usage

periodic_splines(order = 4, period = 1, knots, pos)

Arguments

order

Order of the splines (4 for cubic)

period

Period of the splines (1 by default)

knots

Knots of the splines (in [0, period[]])

pos

Requested positions (in [0, period[]])

Value

A matrix (len(pos) x len(knots))


Periodic dummies and contrasts

Description

Periodic dummies and contrasts

Usage

periodic.dummies(frequency, start, length, s)

periodic.contrasts(frequency, start, length, s)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

Details

The function periodic.dummies creates as many time series as types of periods in a year (4 or 12) with the value one only for one given type of period (ex Q1) The function periodic.contrasts is based on periodic.dummies but adds -1 to the period preeceding a 1.

Examples

# periodic dummies for a quarterly series
p<-periodic.dummies(4, c(2000,1), 60)
#periodic contrasts for a quarterly series
q<-periodic.contrasts(4, c(2000,1), 60)
q[1:9,]

Calendars Print Methods

Description

Print functions for calendars

Usage

## S3 method for class 'JD3_FIXEDDAY'
print(x, ...)

## S3 method for class 'JD3_FIXEDWEEKDAY'
print(x, ...)

## S3 method for class 'JD3_EASTERDAY'
print(x, ...)

## S3 method for class 'JD3_SPECIALDAY'
print(x, ...)

## S3 method for class 'JD3_SINGLEDAY'
print(x, ...)

## S3 method for class 'JD3_CALENDAR'
print(x, ...)

Arguments

x

The object.

...

other unused parameters.


Create Java CalendarTimeSeries

Description

Create Java CalendarTimeSeries

Usage

r2jd_calendarts(calendarobs)

Arguments

calendarobs

list.

Examples

obs<-list(
list(start=as.Date("1980-01-01"), end=as.Date("1999-12-31"), value=2000),
list(start=as.Date("2000-01-01"), end=as.Date("2010-01-01"), value=1000)
)
jobj<-r2jd_calendarts(obs)

Ramp regressor

Description

Ramp regressor

Usage

ramp_variable(frequency, start, length, s, range)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

range

the range of the regressor. A vector of length 2 containing the datesin the format "YYYY-MM-DD" or the position in the series, in number of periods from counting from the series start.

Details

A ramp between two dates t0t_0 and t1t_1 is defined as:

RPt={1if tt0tt0t1t01t0<t<t10tt1RP_t= \begin{cases} -1 & \text{if }t\geq t_0 \\ \frac{t-t_0}{t_1-t_0}-1 & t_0< t < t_1 \\ 0 & t \leq t_1 \end{cases}

Examples

# Ramp variable from January 2001 to September 2001
rp <- ramp_variable(12, c(2000,1), length = 12*4, range = c(13, 21))
# Or equivalently
rp<-ramp_variable(12, c(2000,1), length = 12*4, range = c("2001-01-01", "2001-09-02"))
plot.ts(rp)

Range-Mean Regression

Description

Function to perform a range-mean regression, trimmed to avoid outlier distortion. The slope is used in TRAMO to select whether the original series will be transformed into log or maintain in level.

Usage

rangemean_tstat(data, period = 0, groupsize = 0, trim = 0)

Arguments

data

data to test.

period

periodicity of the data.

groupsize

number of observations per group (before being trimmed). The default group size (groupsize = 0) is computed as followed:

  • if period = 12 or period = 6, it is equal to 12;

  • if period = 4 it is equal to 12 if the data has at least 166 observations, 8 otherwise;

  • if period = 3 or period = 2 it is equal to 12 if the data has at least 166 observations, 6 otherwise;

  • if period = 1 it is equal to 9 if the data has at least 166 observations, 5 otherwise;

  • it is equal to period otherwise.

trim

number of trimmed observations.

Details

First, the data is divided into nn groups of successive observations of length ll (groupsize). That is, the first group is formed with the first ll observations, the second group is formed with observations 1+l1+l to 2l2l, etc. Then, for each group ii, the observations are sorted and the trim smallest and largest observations are rejected (to avoid outlier distortion). With the other observations, the range (noted yiy_i) and mean (noted mim_i) are computed.

Finally, the following regression is performed :

yt=α+βmt+ut.y_t = \alpha + \beta m_t + u_t.

The function rangemean_tstat returns the T-statistic associated to β\beta. If it is significantly higher than 0, log transformation is recommended.

Value

T-Stat of the slope of the range-mean regression.

Examples

y = ABS$X0.2.09.10.M
# Multiplicative pattern
plot(y)
period = 12
rm_t = rangemean_tstat(y, period = period, groupsize = period)
rm_t # higher than 0
# Can be tested:
pt(rm_t, period - 2, lower.tail = FALSE)
# Or :
1-cdf_t(period-2, rm_t)

# Close to 0
rm_t_log = rangemean_tstat(log(y), period = period, groupsize = period)
rm_t_log
pt(rm_t_log, period - 2, lower.tail = FALSE)

Title

Description

Title

Usage

reload_dictionaries()

Runs Tests around the mean or the median

Description

Functions to compute runs test around the mean or the median (testofruns) or up and down runs test (testofupdownruns) to check randomness of a data.

Usage

testofruns(data, mean = TRUE, number = TRUE)

testofupdownruns(data, number = TRUE)

Arguments

data

data being tested.

mean

If TRUE, runs around the mean. Otherwise, runs around the median.

number

If TRUE, test the number of runs. Otherwise, test the lengths of the runs.

Value

A c("JD3_TEST", "JD3") object (see statisticaltest() for details).

Functions

  • testofruns(): Runs test around mean or median

  • testofupdownruns(): up and down runs test

Examples

x <- random_t(5, 1000)
# random values
testofruns(x)
testofupdownruns(x)
# non-random values
testofruns(ABS$X0.2.09.10.M)
testofupdownruns(ABS$X0.2.09.10.M)

Generic Preprocessing Function

Description

Generic function for preprocessing defined in other packages.

Usage

sa_preprocessing(x, ...)

Arguments

x, ...

parameters.


Generic Function for Seasonal Adjustment Decomposition

Description

Generic function to format the seasonal adjustment decomposition components. sa_decomposition() is a generic function defined in other packages.

Usage

sadecomposition(y, sa, t, s, i, mul)

## S3 method for class 'JD3_SADECOMPOSITION'
print(x, n_last_obs = frequency(x$series), ...)

## S3 method for class 'JD3_SADECOMPOSITION'
plot(
  x,
  first_date = NULL,
  last_date = NULL,
  type_chart = c("sa-trend", "seas-irr"),
  caption = c(`sa-trend` = "Y, Sa, trend", `seas-irr` = "Sea., irr.")[type_chart],
  colors = c(y = "#F0B400", t = "#1E6C0B", sa = "#155692", s = "#1E6C0B", i = "#155692"),
  ...
)

sa_decomposition(x, ...)

Arguments

y, sa, t, s, i, mul

seasonal adjustment decomposition parameters.

x

the object to print.

n_last_obs

number of observations to print (by default equal to the frequency of the series).

...

further arguments.

first_date, last_date

first and last date to plot (by default all the data is used).

type_chart

the chart to plot: "sa-trend" (by default) plots the input time series, the seasonally adjusted and the trend; "seas-irr" plots the seasonal and the irregular components.

caption

the caption of the plot.

colors

the colors used in the plot.

Value

"JD3_SADECOMPOSITION" object.


Decompose SARIMA Model into three components trend, seasonal, irregular

Description

Decompose SARIMA Model into three components trend, seasonal, irregular

Usage

sarima_decompose(model, rmod = 0, epsphi = 0)

Arguments

model

SARIMA model to decompose.

rmod

trend threshold.

epsphi

seasonal tolerance (in degrees).

Value

An UCARIMA model

Examples

model <- sarima_model(period = 12, d =1, bd = 1, theta = -0.6, btheta = -0.5)
ucm <- sarima_decompose(model)

Estimate SARIMA Model

Description

Estimate SARIMA Model

Usage

sarima_estimate(
  x,
  order = c(0, 0, 0),
  seasonal = list(order = c(0, 0, 0), period = NA),
  mean = FALSE,
  xreg = NULL,
  eps = 1e-09
)

Arguments

x

a univariate time series.

order

vector specifying of the non-seasonal part of the ARIMA model: the AR order, the degree of differencing, and the MA order.

seasonal

specification of the seasonal part of the ARIMA model and the seasonal frequency (by default equals to frequency(x)). Either a list with components order and period or a numeric vector specifying the seasonal order (the default period is then used).

mean

should the SARIMA model include an intercept term.

xreg

vector or matrix of external regressors.

eps

precision.

Examples

y <- ABS$X0.2.09.10.M
sarima_estimate(y, order = c(0,1,1), seasonal = c(0,1,1))

Title

Description

Title

Usage

sarima_hannan_rissanen(
  x,
  order = c(0, 0, 0),
  seasonal = list(order = c(0, 0, 0), period = NA),
  initialization = c("Ols", "Levinson", "Burg"),
  biasCorrection = TRUE,
  finalCorrection = TRUE
)

Arguments

x

a univariate time series.

order

vector specifying of the non-seasonal part of the ARIMA model: the AR order, the degree of differencing, and the MA order.

seasonal

specification of the seasonal part of the ARIMA model and the seasonal frequency (by default equals to frequency(x)). Either a list with components order and period or a numeric vector specifying the seasonal order (the default period is then used).

initialization

Algorithm used in the computation of the long order auto-regressive model (used to estimate the innovations)

biasCorrection

Bias correction

finalCorrection

Final correction as implemented in Tramo

Examples

y <- ABS$X0.2.09.10.M
sarima_hannan_rissanen(y, order = c(0,1,1), seasonal = c(0,1,1))

Seasonal ARIMA model (Box-Jenkins)

Description

Seasonal ARIMA model (Box-Jenkins)

Usage

sarima_model(
  name = "sarima",
  period,
  phi = NULL,
  d = 0,
  theta = NULL,
  bphi = NULL,
  bd = 0,
  btheta = NULL
)

Arguments

name

name of the model.

period

period of the model.

phi

coefficients of the regular auto-regressive polynomial (1+ϕ1B+ϕ2B+...1 + \phi_1B + \phi_2B + ...). True signs.

d

regular differencing order.

theta

coefficients of the regular moving average polynomial (1+θ1B+θ2B+...1 + \theta_1B + \theta_2B + ...). True signs.

bphi

coefficients of the seasonal auto-regressive polynomial. True signs.

bd

seasonal differencing order.

btheta

coefficients of the seasonal moving average polynomial. True signs.

Value

A "JD3_SARIMA" model.


SARIMA Properties

Description

SARIMA Properties

Usage

sarima_properties(model, nspectrum = 601, nacf = 36)

Arguments

model

a "JD3_SARIMA" model (created with sarima_model()).

nspectrum

number of points in [0, pi] to calculate the spectrum.

nacf

maximum lag at which to calculate the acf.

Examples

mod1 <- sarima_model(period = 12, d = 1, bd = 1, theta = 0.2, btheta = 0.2)
sarima_properties(mod1)

Simulate Seasonal ARIMA

Description

Simulate Seasonal ARIMA

Usage

sarima_random(model, length, stde = 1, tdegree = 0, seed = -1)

Arguments

model

a "JD3_SARIMA" model (see sarima_model() function).

length

length of the output series.

stde

deviation of the normal distribution of the innovations of the simulated series. Unused if tdegree is larger than 0.

tdegree

degrees of freedom of the T distribution of the innovations. tdegree = 0 if normal distribution is used.

seed

seed of the random numbers generator. Negative values mean random seeds

Examples

# Airline model
s_model <- sarima_model(period = 12, d =1, bd = 1, theta = 0.2, btheta = 0.2)
x <- sarima_random(s_model, length = 64, seed = 0)
plot(x, type = "l")

Canova-Hansen seasonality test

Description

Canova-Hansen seasonality test

Usage

seasonality_canovahansen(
  data,
  period,
  trigs = TRUE,
  lag1 = TRUE,
  kernel = c("Bartlett", "Square", "Welch", "Tukey", "Hamming", "Parzen"),
  order = NA,
  start = 1
)

Arguments

data

the input data.

period

Tested periodicity.

trigs

TRUE for trigonometric variables, FALSE for seasonal dummies.

lag1

Lagged variable in the regression model.

kernel

Kernel used to compute the robust covariance matrix.

order

The truncation parameter used to compute the robust covariance matrix.

start

Position of the first observation of the series

Examples

s<-log(ABS$X0.2.20.10.M)
seasonality_canovahansen(s, 12, trigs = FALSE)
seasonality_canovahansen(s, 12, trigs = TRUE)

Canova-Hansen test using trigonometric variables

Description

Canova-Hansen test using trigonometric variables

Usage

seasonality_canovahansen_trigs(
  data,
  periods,
  lag1 = TRUE,
  kernel = c("Bartlett", "Square", "Welch", "Tukey", "Hamming", "Parzen"),
  order = NA,
  original = FALSE
)

Arguments

data

the input data.

periods

Periodicities.

original

TRUE for original algorithm, FALSE for solution proposed by T. Proietti (based on Ox code).

Examples

s<-log(ABS$X0.2.20.10.M)
freqs<-seq(0.01, 0.5, 0.001)
plot(seasonality_canovahansen_trigs(s, 1/freqs, original = FALSE), type='l')

"X12" Test On Seasonality

Description

"X12" Test On Seasonality

Usage

seasonality_combined(data, period, firstperiod = cycle(data)[1], mul = TRUE)

Arguments

data

the input data.

period

Tested periodicity.

firstperiod

Position in a cycle of the first obs. For example, for a monthly, firstperiod = 1 means January. If data is not a "ts" object, firstperiod = 1 by default.

mul

boolean indicating if the seasonal decomposition is multiplicative (mul = TRUE) or additive (mul = FALSE).

Details

Combined test on the presence of identifiable seasonality (see Ladiray and Quenneville, 1999).

Examples

seasonality_combined(ABS$X0.2.09.10.M, 12)
seasonality_combined(random_t(2, 1000), 7)

F-test on seasonal dummies

Description

F-test on seasonal dummies

Usage

seasonality_f(data, period, model = c("AR", "D1", "WN"), nyears = 0)

Arguments

data

the input data.

period

Tested periodicity.

model

the model to use for the residuals.

nyears

Number of number of periods number of cycles considered in the test, at the end of the series: in periods (positive value) or years (negative values). By default (nyears = 0), the entire sample is used.

Details

Estimation of a model with seasonal dummies. Joint F-test on the coefficients of the dummies.

Value

A c("JD3_TEST", "JD3") object (see statisticaltest() for details).

Examples

seasonality_f(ABS$X0.2.09.10.M, 12)
seasonality_f(random_t(2, 1000), 7)

Friedman Seasonality Test

Description

Friedman Seasonality Test

Usage

seasonality_friedman(data, period, nyears = 0)

Arguments

data

the input data.

period

Tested periodicity.

nyears

Number of number of periods number of cycles considered in the test, at the end of the series: in periods (positive value) or years (negative values). By default (nyears = 0), the entire sample is used.

Details

Non parametric test ("ANOVA"-type).

Value

A c("JD3_TEST", "JD3") object (see statisticaltest() for details).


Kruskall-Wallis Seasonality Test

Description

Kruskall-Wallis Seasonality Test

Usage

seasonality_kruskalwallis(data, period, nyears = 0)

Arguments

data

the input data.

period

Tested periodicity.

nyears

Number of number of periods number of cycles considered in the test, at the end of the series: in periods (positive value) or years (negative values). By default (nyears = 0), the entire sample is used.

Details

Non parametric test on the ranks.

Value

A c("JD3_TEST", "JD3") object (see statisticaltest() for details).

Examples

seasonality_kruskalwallis(ABS$X0.2.09.10.M, 12)
seasonality_kruskalwallis(random_t(2, 1000), 7)

Periodogram Seasonality Test

Description

Periodogram Seasonality Test

Usage

seasonality_periodogram(data, period, nyears = 0)

Arguments

data

the input data.

period

Tested periodicity.

nyears

Number of number of periods number of cycles considered in the test, at the end of the series: in periods (positive value) or years (negative values). By default (nyears = 0), the entire sample is used.

Details

Tests on the sum of a periodogram at seasonal frequencies.

Value

A c("JD3_TEST", "JD3") object (see statisticaltest() for details).

Examples

seasonality_periodogram(ABS$X0.2.09.10.M, 12)
seasonality_periodogram(random_t(2, 1000), 7)

QS Seasonality Test

Description

QS (modified seasonal Ljung-Box) test.

Usage

seasonality_qs(data, period, nyears = 0)

Arguments

data

the input data.

period

Tested periodicity.

nyears

Number of number of periods number of cycles considered in the test, at the end of the series: in periods (positive value) or years (negative values). By default (nyears = 0), the entire sample is used.

Value

A c("JD3_TEST", "JD3") object (see statisticaltest() for details).

Examples

seasonality_qs(ABS$X0.2.09.10.M, 12)
seasonality_qs(random_t(2, 1000), 7)

Set ARIMA Model Structure in Pre-Processing Specification

Description

Function allowing to customize the ARIMA model structure when the automatic modelling is disabled.(see example)

Usage

set_arima(
  x,
  mean = NA,
  mean.type = c(NA, "Undefined", "Fixed", "Initial"),
  p = NA,
  d = NA,
  q = NA,
  bp = NA,
  bd = NA,
  bq = NA,
  coef = NA,
  coef.type = c(NA, "Undefined", "Fixed", "Initial")
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

mean

to fix the coefficient of the mean. If mean = 0, the mean is disabled.

mean.type

a character defining the mean coefficient estimation procedure. Possible procedures are: "Undefined" = no use of any user-defined input (i.e. coefficient is estimated), "Fixed" = the coefficients are fixed at the value provided by the user, "Initial" = the value defined by the user is used as the initial condition.

p, d, q, bp, bd, bq

to specify the order of the SARIMA model in the form ARIMA(p,d,q)(bp,bd,bd).

coef

a vector providing the coefficients for the regular and seasonal AR and MA polynomials. The vector length must be equal to the sum of the regular and seasonal AR and MA orders. The coefficients shall be provided in the following order: regular AR (Phi; p elements), regular MA (Theta; q elements), seasonal AR (BPhi; bp elements) and seasonal MA (BTheta; bq elements). E.g.: arima.coef=c(0.6,0.7) with p=1, q=0,bp=1 and bq=0.

coef.type

a vector defining the ARMA coefficients estimation procedure. Possible procedures are: "Undefined" = no use of any user-defined input (i.e. coefficients are estimated), "Fixed" = the coefficients are fixed at the value provided by the user, "Initial" = the value defined by the user is used as the initial condition.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More information on reg-arima modelling in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

set_automodel, set_transform

Examples

# create default spec
# my_spec<-rjd3x13::x13_spec("rsa5c")
# disable automatic arima modelling
# my_spec<-set_automodel(my_spec, enabled = FALSE)
# customize arima model
# my_spec <-set_arima(my_spec,mean = 0.2,
#                      mean.type = "Fixed",
#                      p = 1, d = 2, q = 0,
#                      bp = 1, bd = 1, bq = 0,
#                      coef = c(0.6,0.7),
#                      coef.type = c("Initial","Fixed"))

Set Arima Model Identification in Pre-Processing Specification

Description

Function allowing to customize Arima model identification procedure.

Usage

set_automodel(
  x,
  enabled = NA,
  acceptdefault = NA,
  cancel = NA,
  ub1 = NA,
  ub2 = NA,
  reducecv = NA,
  ljungboxlimit = NA,
  tsig = NA,
  ubfinal = NA,
  checkmu = NA,
  mixed = NA,
  fct = NA,
  balanced = NA,
  amicompare = NA
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

enabled

logical. If TRUE, the automatic modelling of the ARIMA model is enabled. If FALSE, the parameters of the ARIMA model can be specified.

acceptdefault

logical. If TRUE, the default model (ARIMA(0,1,1)(0,1,1)) will be chosen in the first step of the automatic model identification, if the Ljung-Box Q statistics for the residuals are acceptable. No further attempt will be made to identify a better model. Default = FALSE

cancel

numeric cancellation limit. A limit for the AR and the MA roots to be assumed equal. This option is used in the automatic identification of the differencing order. If the difference in moduli of an AR and an MA root (when estimating ARIMA(1,0,1)(1,0,1) models in the second step of the automatic identification of the differencing polynomial) is smaller than cancellation limit, the two roots cancel out. Default = 0.1.

ub1

numeric, the first unit root limit. It is the threshold value for the initial unit root test in the automatic differencing procedure. When one of the roots in the estimation of the ARIMA(2,0,0)(1,0,0) plus mean model, performed in the first step of the automatic model identification procedure, is larger than first unit root limit in modulus, it is set equal to unity. Default = 1.030928.

ub2

numeric, the second unit root limit. When one of the roots in the estimation of the ARIMA(1,0,1)(1,0,1) plus mean model, which is performed in the second step of the automatic model identification procedure, is larger than second unit root limit in modulus, it is checked if there is a common factor in the corresponding AR and MA polynomials of the ARMA model that can be cancelled (see automdl.cancel). If there is no cancellation, the AR root is set equal to unity (i.e. the differencing order changes). Default = 1.136364.

reducecv

numeric, ReduceCV. The percentage by which the outlier critical value will be reduced when an identified model is found to have a Ljung-Box statistic with an unacceptable confidence coefficient. The parameter should be between 0 and 1, and will only be active when automatic outlier identification is enabled. The reduced critical value will be set to (1-ReduceCV)xCV, where CV is the original critical value. Default = 0.14268.

ljungboxlimit

numeric, the Ljung Box limit, setting the acceptance criterion for the confidence intervals of the Ljung-Box Q statistic. If the LjungBox Q statistics for the residuals of a final model is greater than Ljung Box limit, then the model is rejected, the outlier critical value is reduced, and model and outlier identification (if specified) is redone with a reduced value. Default = 0.95.

tsig

numeric, the arma limit. It is the threshold value for t-statistics of ARMA coefficients and the constant term used for the final test of model parsimony. If the highest order ARMA coefficient has a t-value smaller than this value in magnitude, the order of the model is reduced. If the constant term has a t-value smaller than the ARMA limit in magnitude, it is removed from the set of regressors. Default=1.

ubfinal

(REGARIMA/X13 Specific) numeric, final unit root limit. The threshold value for the final unit root test. If the magnitude of an AR root for the final model is smaller than the final unit root limit, then a unit root is assumed, the order of the AR polynomial is reduced by one and the appropriate order of the differencing (non-seasonal, seasonal) is increased. The parameter value should be greater than one. Default = 1.05.

checkmu

(REGARIMA/X13 Specific) logical indicating if the automatic model selection checks the significance of the constant term.

mixed

(REGARIMA/X13 Specific) logical. This variable controls whether ARIMA models with non-seasonal AR and MA terms or seasonal AR and MA terms will be considered in the automatic model identification procedure. If FALSE, a model with AR and MA terms in both the seasonal and non-seasonal parts of the model can be acceptable, provided there are no AR or MA terms in either the seasonal or non-seasonal terms.

fct

(REGARIMA/X13 Specific) numeric. TODO.

balanced

(REGARIMA/X13 Specific) logical If TRUE, the automatic model identification procedure will have a preference for balanced models (i.e. models for which the order of the combined AR and differencing operators is equal to the order of the combined MA operators). Default = FALSE

amicompare

(TRAMO Specific) logical. If TRUE, the program compares the model identified by the automatic procedure to the default model (ARIMA(0,1,1)(0,1,1)ARIMA(0,1,1)(0,1,1)) and the model with the best fit is selected. Criteria considered are residual diagnostics, the model structure and the number of outliers.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More information on reg-arima modelling in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

set_arima, set_transform

Examples

# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<-set_automodel(init_spec,
#                        enabled = FALSE,
#                        acceptdefault = TRUE)

Set estimation sub-span and quality check specification

Description

Function allowing to check if the series can be processed and to define a sub-span on which estimation will be performed

Usage

set_basic(
  x,
  type = c(NA, "All", "From", "To", "Between", "Last", "First", "Excluding"),
  d0 = NULL,
  d1 = NULL,
  n0 = 0,
  n1 = 0,
  preliminary.check = NA,
  preprocessing = NA
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

type, d0, d1, n0, n1

parameters to specify the sub-span .

d0 and d1 characters in the format "YYYY-MM-DD" to specify first/last date of the span when type equals to "From", "To" or "Between". Date corresponding to d0 will be included in the sub-span Date corresponding to d1 will be excluded from the sub span

n0 and n1 numeric to specify the number of periods at the beginning/end of the series to be used for defining the sub-span (type equals to "First", "Last") or to exclude (type equals to "Excluding").

preliminary.check

a Boolean to check the quality of the input series and exclude highly problematic ones (e.g. the series with a number of identical observations and/or missing values above pre-specified threshold values).

preprocessing

(REGARIMA/X13 Specific) a Boolean to enable/disable the pre-processing. Option disabled for the moment.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More information in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

set_estimate, set_arima

Examples

# init_spec <- rjd3x13::x13_spec("RSA5c")
# estimation on sub-span between two dates (date d1 is excluded)
# new_spec<-set_basic(init_spec,type = "Between",d0 = "2014-01-01",
# d1 = "2019-01-01", preliminary.check = TRUE, preprocessing = TRUE)
# Estimation on the first 60 observations
# new_spec <-set_basic(init_spec,Type="First", n0 = 60,
#                      preliminary.check = TRUE,
#                      preprocessing= TRUE)
# Estimation on the last 60 observations
# new_spec <-set_basic(init_spec,Type="Last", n1 = 60,
#                      preliminary.check = TRUE,
#                      preprocessing= TRUE)
# Estimation excluding 60 observations at the beginning and 36 at the end of the series
# new_spec <-set_basic(init_spec,Type="Excluding", n0=60, n1=36,
#                      preliminary.check = TRUE,
#                      preprocessing= TRUE)

Set Benchmarking Specification

Description

Function allowing to perform a benchmarking procedure after the decomposition step in a seasonal adjustment (disabled by default). Here benchmarking refers to a procedure ensuring consistency over the year between seasonally adjusted and raw (or calendar adjusted) data, as seasonal adjustment can cause discrepancies between the annual totals of seasonally adjusted series and the corresponding annual totals of raw (or calendar adjusted) series.

Usage

set_benchmarking(
  x,
  enabled = NA,
  target = c(NA, "CalendarAdjusted", "Original"),
  rho = NA,
  lambda = NA,
  forecast = NA,
  bias = c(NA, "None")
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

enabled

Boolean to enable the user to perform benchmarking.

target

specifies the target series for the benchmarking procedure, which can be the raw series ("Normal"); or the series adjusted for calendar effects ("CalendarAdjusted").

rho

the value of the AR(1) parameter (set between 0 and 1) in the function used for benchmarking. Default =1.

lambda

a parameter in the function used for benchmarking that relates to the weights in the regression equation; it is typically equal to 0, 1/2 or 1.

forecast

Boolean indicating if the forecasts of the seasonally adjusted series and of the target variable (target) are used in the benchmarking computation so that the benchmarking constrain is also applied to the forecasting period.

bias

TODO

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More information on benchmarking in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

Examples

# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<- set_benchmarking(init_spec,
#                            enabled = TRUE,
#                            target = "Normal",
#                            rho = 0.8,
#                            lambda = 0.5,
#                            forecast = FALSE,
#                            bias = "None")

Set Easter effect correction in Pre-Processing Specification

Description

Set Easter effect correction in Pre-Processing Specification

Usage

set_easter(
  x,
  enabled = NA,
  julian = NA,
  duration = NA,
  test = c(NA, "Add", "Remove", "None"),
  coef = NA,
  coef.type = c(NA, "Estimated", "Fixed"),
  type = c(NA, "Unused", "Standard", "IncludeEaster", "IncludeEasterMonday")
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

enabled

a logical indicating if the program considers the Easter effect in the pre-processing model. Default = TRUE.

julian

a logical indicating if the program uses the Julian Easter (expressed in Gregorian calendar).

duration

a numeric indicating the duration of the Easter effect (length in days, between 1 and 20). Default value = 8 in REGARIMA/X-13 and 6 in TRAMO.

test

defines the pre-tests for the significance of the Easter effect based on the t-statistic (the Easter effect is considered as significant if the t-statistic is greater than 1.96): "Add" = the Easter effect variable is not included in the initial regression model but can be added to the RegARIMA model after the test; "Remove" = the Easter effect variable belongs to the initial regression model but can be removed from the RegARIMA model after the test; "None" = the Easter effect variable is not pre-tested and is included in the model.

coef

to set the coefficient of the easter regressor.(Test parameter has to be set to "None")

coef.type

a character defining the easter regressor coefficient estimation procedure. Possible procedures are: "Estimated" = coefficient is estimated, "Fixed" = the coefficients is fixed. By default the coefficient is estimated.

type

(TRAMO specific) a character that specifies the presence and the length of the Easter effect: "Unused" = the Easter effect is not considered; "Standard" = influences the period of n days strictly before Easter Sunday; "IncludeEaster" = influences the entire period (n) up to and including Easter Sunday; "IncludeEasterMonday" = influences the entire period (n) up to and including Easter Monday.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

easter_variable, easter_day

Examples

# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<-set_easter(init_spec,
#                     enabled = TRUE,
#                     duration = 12,
#                    test = "None",
#                    type = "IncludeEasterMonday")
# sa<-rjd3x13::x13(ABS$X0.2.09.10.M,new_spec)

Set Numeric Estimation Parameters and Modelling Span

Description

Function allowing to define numeric boundaries for estimation and to define a sub-span on which reg-arima (tramo) modelling will be performed (pre-processing step)

Usage

set_estimate(
  x,
  type = c(NA, "All", "From", "To", "Between", "Last", "First", "Excluding"),
  d0 = NULL,
  d1 = NULL,
  n0 = 0,
  n1 = 0,
  tol = NA,
  exact.ml = NA,
  unit.root.limit = NA
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

type, d0, d1, n0, n1

parameters to specify the sub-span .

d0 and d1 characters in the format "YYYY-MM-DD" to specify first/last date of the span when type equals to "From", "To" or "Between". Date corresponding to d0 will be included in the sub-span Date corresponding to d1 will be excluded from the sub span

n0 and n1 numeric to specify the number of periods at the beginning/end of the series to be used for defining the sub-span (type equals to "First", "Last") or to exclude (type equals to "Excluding").

tol

a numeric, convergence tolerance. The absolute changes in the log-likelihood function are compared to this value to check for the convergence of the estimation iterations. (The default setting is 0.0000001)

exact.ml

(TRAMO specific) logical, the exact maximum likelihood estimation. If TRUE, the program performs an exact maximum likelihood estimation. If FASLE, the Unconditional Least Squares method is used.(Default=TRUE)

unit.root.limit

(TRAMO specific) numeric, the final unit root limit. The threshold value for the final unit root test for identification of differencing orders. If the magnitude of an AR root for the final model is smaller than this number, then a unit root is assumed, the order of the AR polynomial is reduced by one and the appropriate order of the differencing (non-seasonal, seasonal) is increased.(Default value: 0.96)

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

set_basic, set_arima

Examples

# init_spec <- rjd3tramoseats::spec_tramoseats("rsafull")
# new_spec<-set_estimate(init_spec, type= "From", d0 = "2012-01-01", tol = 0.0000002,
# exact.ml = FALSE, unit.root.limit = 0.98)

Set Outlier Detection Parameters

Description

Function allowing to customize the automatic outlier detection process built in in the pre-processing step (regarima or tramo)

Usage

set_outlier(
  x,
  span.type = c(NA, "All", "From", "To", "Between", "Last", "First", "Excluding"),
  d0 = NULL,
  d1 = NULL,
  n0 = 0,
  n1 = 0,
  outliers.type = NA,
  critical.value = NA,
  tc.rate = NA,
  method = c(NA, "AddOne", "AddAll"),
  maxiter = NA,
  lsrun = NA,
  eml.est = NA
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

span.type, d0, d1, n0, n1

parameters to specify the sub-span on which outliers will be detected.

d0 and d1 characters in the format "YYYY-MM-DD" to specify first/last date of the span when type equals to "From", "To" or "Between".

n0 and n1 numerics to specify the number of periods at the beginning/end of the series to be used for the span (type equals to "From", "To") or to exclude (type equals to "Excluding").

outliers.type

vector of characters of the outliers to be automatically detected. "AO" for additive outliers, "TC" for transitory changes "LS" for level shifts and "SO" for seasonal outliers. For example outliers.type = c("AO", "LS") to enable the detection of additive outliers and level shifts. If outliers.type = NULL or outliers.type = character(), automatic detection of outliers is disabled. Default value = outliers.type = c("AO", "LS", "TC")

critical.value

numeric. Critical value for the outlier detection procedure. If equal to 0 the critical value is automatically determined by the number of observations in the outlier detection time span.(Default value = 4 REGARIMA/X13 and 3.5 in TRAMO)

tc.rate

the rate of decay for the transitory change outlier (Default = 0.7).

method

(REGARIMA/X13 Specific) determines how the program successively adds detected outliers to the model. Currently, only the "AddOne" method is supported.

maxiter

(REGARIMA/X13 Specific) maximum number of iterations (Default = 30).

lsrun

(REGARIMA/X13 Specific) number of successive level shifts to test for cancellation (Default = 0).

eml.est

(TRAMO Specific) logical for the exact likelihood estimation method. It controls the method applied for parameter estimation in the intermediate steps. If TRUE, an exact likelihood estimation method is used. When FALSE, the fast Hannan-Rissanen method is used.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

If a Seasonal adjustment process is performed, each type of Outlier will be allocated to a pre-defined component after the decomposition: "AO" and "TC" to the irregular, "LS" to the trend and "SO" to seasonal component.

References

More information on outliers and other auxiliary variables in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

add_outlier, add_usrdefvar

Examples

# init_spec <- rjd3tramoseats::spec_tramoseats("rsafull")
# new_spec<-set_outlier(init_spec, span.type= "From", d0 = "2012-01-01",
#                      outliers.type = c("LS", "AO"),
#                      critical.value = 5,
#                      tc.rate =0.85)

Set Calendar effects correction in Pre-Processing Specification

Description

Function allowing to select the trading-days regressors to be used for calendar correction in the pre-processing step of a seasonal adjustment procedure. The default is "TradingDays", with easter specific effect enabled. (see set_easter)

All the built-in regressors are meant to correct for type of day effect but don't take into account any holiday. To do so user-defined regressors have to be built.

Usage

set_tradingdays(
  x,
  option = c(NA, "TradingDays", "WorkingDays", "TD3", "TD3c", "TD4", "None",
    "UserDefined"),
  calendar.name = NA,
  uservariable = NA,
  stocktd = NA,
  test = c(NA, "None", "Remove", "Add", "Separate_T", "Joint_F"),
  coef = NA,
  coef.type = c(NA, "Fixed", "Estimated"),
  automatic = c(NA, "Unused", "FTest", "WaldTest", "Aic", "Bic"),
  pftd = NA,
  autoadjust = NA,
  leapyear = c(NA, "LeapYear", "LengthOfPeriod", "None"),
  leapyear.coef = NA,
  leapyear.coef.type = c(NA, "Fixed", "Estimated")
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

option

to specify the set of trading days regression variables: "TradingDays" = six contrast variables, each type of day (from Monday to Saturday) vs Sundays; "WorkingDays" = one working (week days)/non-working (week-ends) day contrast variable; "TD3" = two contrast variables: week-days vs Sundays and Saturdays vs Sundays; "TD3c" = two contrast variables: week-days (Mondays to Thursdays) vs Sundays and Fridays+Saturdays vs Sundays; "TD4" = three contrast variables: week-days (Mondays to Thursdays) vs Sundays, Fridays vs Sundays, Saturdays vs Sundays; "None" = no correction for trading days; "UserDefined" = userdefined trading days regressors.

calendar.name

name (string) of the user-defined calendar to be taken into account when generating built-in regressors set in 'option' (if not 'UserDefined).(see examples)

uservariable

a vector of characters to specify the name of user-defined calendar regressors. When specified, automatically set option = "UserDefined". Names have to be the same as in modelling_context, see example.

stocktd

a numeric indicating the day of the month when inventories and other stock are reported (to denote the last day of the month, set the variable to 31). When specified, automatically set option = "None". See stock_td function for details.

test

defines the pre-tests for the significance of the trading day regression variables based on the AICC statistics: "None" = the trading day variables are not pre-tested and are included in the model;

(REGARIMA/X-13 specific)

"Add" = the trading day variables are not included in the initial regression model but can be added to the RegARIMA model after the test; "Remove" = the trading day variables belong to the initial regression model but can be removed from the RegARIMA model after the test;

(TRAMO specific)

"Separate_T" = a t-test is applied to each trading day variable separately and the trading day variables are included in the RegArima model if at least one t-statistic is greater than 2.6 or if two t-statistics are greater than 2.0 (in absolute terms); "Joint_F" = a joint F-test of significance of all the trading day variables. The trading day effect is significant if the F statistic is greater than 0.95.

coef

vector of coefficients for the trading-days regressors.

coef.type, leapyear.coef.type

vector defining if the coefficients are fixed or estimated.

automatic

defines whether the calendar effects should be added to the model manually ("Unused") or automatically. During the automatic selection, the choice of the number of calendar variables can be based on the F-Test ("FTest", TRAMO specific), the Wald Test ("WaldTest"), or by minimizing AIC or BIC; the model with higher F value is chosen, provided that it is higher than pftd).

pftd

(TRAMO SPECIFIC) numeric. The p-value used to assess the significance of the pre-tested calendar effects.

autoadjust

a logical indicating if the program corrects automatically the raw series for the leap year effect if the leap year regressor is significant. Only used when the data is log transformed.

leapyear

a character to specify whether or not to include the leap-year effect in the model: "LeapYear" = leap year effect; "LengthOfPeriod" = length of period (REGARIMA/X-13 specific), "None" = no effect included. Default: a leap year effect regressor is included with any built-in set of trading day regressors.

leapyear.coef

coefficient of the leap year regressor.

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

modelling_context, calendar_td

Examples

# Pre-defined regressors
# y_raw<-ABS$X0.2.09.10.M
# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<-set_tradingdays(init_spec,
#                          option = "TD4",
#                          test =  "None",
#                        coef=c(0.7,NA,0.5),
#        coef.type=c("Fixed","Estimated","Fixed"),
#        leapyear="LengthOfPeriod",
#        leapyear.coef=0.6)
# sa<-rjd3x13::x13(y_raw,new_spec)

# Pre-defined regressors based on user-defined calendar
### create a calendar
BE <- national_calendar(list(
fixed_day(7,21),
 special_day("NEWYEAR"),
 special_day("CHRISTMAS"),
 special_day("MAYDAY"),
 special_day("EASTERMONDAY"),
 special_day("ASCENSION"),
 special_day("WHITMONDAY"),
 special_day("ASSUMPTION"),
 special_day("ALLSAINTSDAY"),
 special_day("ARMISTICE")))
## put into a context
my_context<-modelling_context(calendars = list(cal=BE))
## create a specification
#init_spec <- rjd3x13::x13_spec("RSA5c")
## modify the specification
# new_spec<-set_tradingdays(init_spec,
#                          option = "TradingDays", calendar.name="cal")
## estimate with context
# sa<-rjd3x13::x13(y_raw,new_spec, context=my_context)

# User-defined regressors
# init_spec <- rjd3x13::x13_spec("RSA5c")
# add regressors to context
# variables<-list(Monday,Tuesday, Wednesday,
# Thursday, Friday, Saturday)
# my_context<-modelling_context(variables=variables)
# create a new spec (here default group name: r)
# new_spec<-set_tradingdays(init_spec,
#                          option = "UserDefined",
# uservariable=c("r.Monday","r.Tuesday","r.Wednesday","r.Thursday","r.Friday","r.Saturday"),
# test = "None")
# estimate with context
# sa<-rjd3x13::x13(y_raw,new_spec, context=my_context)

Set Log-level Transformation and Decomposition scheme in Pre-Processing Specification

Description

Set Log-level Transformation and Decomposition scheme in Pre-Processing Specification

Usage

set_transform(
  x,
  fun = c(NA, "Auto", "Log", "None"),
  adjust = c(NA, "None", "LeapYear", "LengthOfPeriod"),
  outliers = NA,
  aicdiff = NA,
  fct = NA
)

Arguments

x

the specification to customize, must be a "SPEC" class object (see details).

fun

the transformation of the input series: "None" = no transformation of the series; "Log" = takes the log of the series; "Auto" = the program tests for the log-level specification.

adjust

pre-adjustment of the input series for the length of period or leap year effects: "None" = no adjustment; "LeapYear" = leap year effect; "LengthOfPeriod" = length of period. Modifications of this variable are taken into account only when function = "Log".

outliers

Boolean indicating if a pre-correction for large outliers (AO and LS only) should be done in the test for the log-level specification (fun = "Auto"). By default to FALSE.

aicdiff

(REGARIMA/X-13 specific) a numeric defining the difference in AICC needed to accept no transformation when the automatic transformation selection is chosen (considered only when fun = "Auto"). Default= -2.

fct

(TRAMO specific) numeric controlling the bias in the log/level pre-test: transform.fct> 1 favors levels, transform.fct< 1 favors logs. Considered only when fun = "Auto".

Details

x specification param must be a JD3_X13_SPEC" class object generated with rjd3x13::x13_spec() (or "JD3_REGARIMA_SPEC" generated with rjd3x13::spec_regarima() or "JD3_TRAMOSEATS_SPEC" generated with rjd3tramoseats::spec_tramoseats() or "JD3_TRAMO_SPEC" generated with rjd3tramoseats::spec_tramo()).

References

More information in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/

See Also

set_outlier, set_tradingdays

Examples

# init_spec <- rjd3x13::x13_spec("RSA5c")
# new_spec<- set_transform(init_spec,
#                        fun = "Log",
#                        outliers = TRUE)
# sa<-rjd3x13::x13(ABS$X0.2.09.10.M,new_spec)

Set a holiday on a Single Day

Description

Allows to set a holiday as a once-occurring event.

Usage

single_day(date, weight = 1)

Arguments

date

the date of the holiday in the format "YYYY-MM-DD".

weight

weight associated to the holiday.

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, fixed_day,special_day,easter_day

Examples

single_day("1999-03-19")

List of Pre-Defined Holidays to choose from

Description

Allows to define a holiday choosing from a list of pre-specified events, equivalent to use fixed_day or easter_day functions.

Usage

special_day(event, offset = 0, weight = 1, validity = NULL)

Arguments

event

the event to add (see details).

offset

The position of the holiday in relation to the selected pre-specified holiday measured in days (can be positive or negative). By default offset = 0.

weight

weight associated to the holiday.

validity

validity period: either NULL (full sample) or a named list with "start" and/or "end" dates in the format "YYYY-MM-DD".

Details

Possible values :

NEWYEAR Fixed holiday, falls on January, 1st.
SHROVEMONDAY Moving holiday, falls on the Monday before Ash Wednesday (48 days before Easter Sunday).
SHROVETUESDAY Moving holiday, falls on the Tuesday before Ash Wednesday (47 days before Easter Sunday).
ASHWEDNESDAY Moving holiday, occurring 46 days before Easter Sunday.
MAUNDYTHURSDAY Moving holiday, falls on the Thursday before Easter.
GOODFRIDAY Moving holiday, falls on the Friday before Easter.
EASTER Moving holiday, falls between March 22nd and April 25th.
EASTERMONDAY Moving holiday, falls on the day after Easter.
ASCENSION Moving holiday, celebrated on a Thursday, 39 days after Easter.
PENTECOST Moving holiday, celebrated 49 days after Easter Sunday.
WHITMONDAY Moving holiday, falling on the day after Pentecost.
CORPUSCHRISTI Moving holiday, celebrated 60 days after Easter Sunday.
JULIANEASTER
MAYDAY Fixed holiday, falls on May, 1st.
ASSUMPTION Fixed holiday, falls on August, 15th.
HALLOWEEN Fixed holiday, falls on October, 31st.
ALLSAINTSDAY Fixed holiday, falls on November, 1st.
ARMISTICE Fixed holiday, falls on November, 11th.
CHRISTMAS Fixed holiday, falls on December, 25th.

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, fixed_day, easter_day

Examples

# To add Easter Monday
special_day("EASTERMONDAY")
# To define a holiday for the day after Christmas, with validity and weight
special_day("CHRISTMAS", offset = 1, weight = 0.8,
validity = list(start="2000-01-01", end = "2020-12-01"))

Generic Function For 'JDemetra+' Tests

Description

Generic function to format the results of 'JDemetra+' tests.

Usage

statisticaltest(val, pval, dist = NULL)

## S3 method for class 'JD3_TEST'
print(x, details = FALSE, ...)

Arguments

val, pval, dist

statistical parameters.

x

the object to print.

details

boolean indicating if the statistical distribution should be printed.

...

further arguments (ignored).

Value

c("JD3_TEST", "JD3") object that is a list of three parameters:

  • value the statistical value of the test.

  • pvalue the p-value of the test.

  • distribution the statistical distribution used.

Examples

udr_test = testofupdownruns(random_t(5, 1000))
udr_test # default print
print(udr_test, details = TRUE) # with the distribution

Trading day Regressor for Stock series

Description

Allows to generate a specific regressor for correcting trading days effects in Stock series.

Usage

stock_td(frequency, start, length, s, w = 31)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

w

indicates day of the month when inventories and other stocks are reported. (to denote the last day of the month enter 31).

Details

The regressor will have the value -1 if the w-th day is a Sunday, 1 if it is a Monday as 0 otherwise.

Value

Time series (object of class c("ts","mts","matrix")).

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

calendar_td


Trading day regressors without holidays

Description

Allows to generate trading day regressors (as many as defined groups), taking into account 7 or less different types of days, from Monday to Sunday, but no specific holidays. Regressors are not corrected for long term mean.

Usage

td(
  frequency,
  start,
  length,
  s,
  groups = c(1, 2, 3, 4, 5, 6, 0),
  contrasts = TRUE
)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

groups

Groups of days. The length of the array must be 7. It indicates to what group each week day belongs. The first item corresponds to Mondays and the last one to Sundays. The group used for contrasts (usually Sundays) is identified by 0. The other groups are identified by 1, 2,... n (<= 6). For instance, usual trading days are defined by c(1,2,3,4,5,6,0), week days by c(1,1,1,1,1,0,0), week days, Saturdays, Sundays by c(1,1,1,1,1,2,0) etc...

contrasts

If true, the variables are defined by contrasts with the 0-group. Otherwise, raw number of days is provided.

Details

Aggregated values for monthly or quarterly are the numbers of days belonging to a given group. Contrasts are the differences between the number of days in a given group (1 to 6) and the number of days in the reference group (0).

Value

Time series (object of class c("ts","mts","matrix")) corresponding to each group, starting with the 0-group (contrasts = FALSE) or the 1-group (contrasts = TRUE).

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

calendar_td

Examples

# Monthly regressors for Trading Days: each type of day is different
# contrasts to Sundays (6 series)
regs_td<- td(12,c(2020,1),60, groups = c(1, 2, 3, 4, 5, 6, 0), contrasts = TRUE)
# Quarterly regressors for Working Days: week days are similar
# contrasts to week-end days (1 series)
regs_wd<- td(4,c(2020,1),60, groups = c(1, 1, 1, 1, 1, 0, 0), contrasts = TRUE)

Canova-Hansen Trading Days test

Description

Canova-Hansen Trading Days test

Usage

td_canovahansen(
  s,
  differencing,
  kernel = c("Bartlett", "Square", "Welch", "Tukey", "Hamming", "Parzen"),
  order = NA
)

Arguments

s

a ts object that corresponds to the input time series to test.

differencing

differencing lags.

order

Examples

s<-log(ABS$X0.2.20.10.M)
td_canovahansen(s, c(1,12))

Residual Trading Days Test

Description

Residual Trading Days Test

Usage

td_f(
  s,
  model = c("D1", "DY", "DYD1", "WN", "AIRLINE", "R011", "R100"),
  nyears = 0
)

Arguments

s

a ts object that corresponds to the input time series to test.

model

the model to use for the residuals. See details.

nyears

integer that corresponds to the length of the sub series, starting from the end of the series, to be used for the test: in number of periods (positive value) or years (negative values). By default (nyears = 0), the entire sample is used.

Details

The function performs a residual seasonality test that is a joint F-Test on the coefficients of trading days regressors. Several specifications can be used on the model:

  • model = "WN" the following model is used:

    ytyˉ=βTDt+εty_t - \bar y =\beta TD_t + \varepsilon_t

  • model = "D1" (the default) the following model is used:

    ΔytΔy=βΔTDt+εt\Delta y_t - \overline{\Delta y} =\beta \Delta TD_t + \varepsilon_t

  • model = "DY" the following model is used:

    ΔsytΔsy=βΔsTDt+εt\Delta_s y_t - \overline{\Delta_s y} =\beta \Delta_s TD_t + \varepsilon_t

  • model = "DYD1" the following model is used:

    ΔsΔytΔsΔy=βΔsΔTDt+εt\Delta_s\Delta y_t - \overline{\Delta_s \Delta y} =\beta \Delta_s \Delta TD_t + \varepsilon_t

  • model = "AIRLINE" the following model is used:

    yt=βTDt+εt with εtARIMA(0,1,1)(0,1,1)y_t =\beta TD_t + \varepsilon_t \text{ with }\varepsilon_t \sim ARIMA(0,1,1)(0,1,1)

  • model = "R011" the following model is used:

    yt=βTDt+εt with εtARIMA(0,1,1)y_t =\beta TD_t + \varepsilon_t \text{ with }\varepsilon_t \sim ARIMA(0,1,1)

  • model = "R100" the following model is used:

    yt=α0+α1yt1+βTDt+εty_t =\alpha_0 + \alpha_1 y_{t-1} + \beta TD_t + \varepsilon_t

Examples

td_f(ABS$X0.2.09.10.M)

Title

Description

Title

Usage

to_ts(source, id, type = "All")

Arguments

type

Title

Description

Title

Usage

to_tscollection(source, id, type = "All")

Arguments

type

Trigonometric variables

Description

Computes trigonometric variables at different frequencies.

Usage

trigonometric_variables(frequency, start, length, s, seasonal_frequency = NULL)

Arguments

frequency

Frequency of the series, number of periods per year (12,4,3,2..)

start, length

First date (array with the first year and the first period) (for instance c(1980, 1)) and number of periods of the output variables. Can also be provided with the s argument

s

time series used to get the dates for the trading days variables. If supplied the parameters frequency, start and length are ignored.

seasonal_frequency

the seasonal frequencies. By default the fundamental seasonal frequency and all the harmonics are used.

Details

Denote by PP the value of frequency (= the period) and f1f_1, ..., fnf_n the frequencies provides by seasonal_frequency (if seasonal_frequency = NULL then n=P/2n=\lfloor P/2\rfloor and fif_i=i).

trigonometric_variables returns a matrix of size length×(2n)length\times(2n).

For each date tt associated to the period mm (m[1,P]m\in[1,P]), the columns 2i2i and 2i12i-1 are equal to:

cos(2πP×m×fi) and sin(2πP×m×fi)\cos \left( \frac{2 \pi}{P} \times m \times f_i \right) \text{ and } \sin \left( \frac{2 \pi}{P} \times m \times f_i \right)

Take for example the case when the first date (date) is a January, frequency = 12 (monthly time series), length = 12 and seasonal_frequency = NULL. The first frequency, λ1=2π/12\lambda_1 = 2\pi /12 represents the fundamental seasonal frequency and the other frequencies (λ2=2π/12×2\lambda_2 = 2\pi /12 \times 2, ..., λ6=2π/12×6\lambda_6 = 2\pi /12 \times 6) are the five harmonics. The output matrix will be equal to:

(cos(λ1)sin(λ1)cos(λ6)sin(λ6)cos(λ1×2)sin(λ1×2)cos(λ6×2)sin(λ6×2)cos(λ1×12)sin(λ1×12)cos(λ6×12)sin(λ6×12))\begin{pmatrix} \cos(\lambda_1) & \sin (\lambda_1) & \cdots & \cos(\lambda_6) & \sin (\lambda_6) \\ \cos(\lambda_1\times 2) & \sin (\lambda_1\times 2) & \cdots & \cos(\lambda_6\times 2) & \sin (\lambda_6\times 2)\\ \vdots & \vdots & \cdots & \vdots & \vdots \\ \cos(\lambda_1\times 12) & \sin (\lambda_1\times 12) & \cdots & \cos(\lambda_6\times 12) & \sin (\lambda_6\times 12) \end{pmatrix}


Multiplicative adjustment of a time series for leap year / length of periods

Description

Multiplicative adjustment of a time series for leap year / length of periods

Usage

ts_adjust(s, method = c("LeapYear", "LengthOfPeriod"), reverse = FALSE)

Arguments

s

The original time series

method

LeapYear: correction for leap year LengthOfPeriod: correction for the length of periods

reverse

Adjustment or reverse operation

Value

The interpolated series

Examples

y <- ABS$X0.2.09.10.M
ts_adjust(y)
# with reverse we can find the
all.equal(ts_adjust(ts_adjust(y), reverse = TRUE), y)

Interpolation of a time series with missing values

Description

Interpolation of a time series with missing values

Usage

ts_interpolate(s, method = c("airline", "average"))

Arguments

s

The original time series

method

airline: interpolation through an estimated airline model average: interpolation using the average of the previous and next non missing values

Value

The interpolated series


Title

Description

Title

Usage

tsdata_of(values, dates)

Arguments

values

Values of the time series

dates

Dates of the values (could be any date inside the considered period)

Value

A ts object. The frequency will be identified automatically and missing values will be added in need be. The identified frequency will be the lowest frequency that match the figures. The provided data can contain missing values (NA)

Examples

# Annual series
s<-tsdata_of(c(1,2,3,4), c("1990-01-01", "1995-01-01", "1996-01-01", "2000-11-01"))
# Quarterly series
t<-tsdata_of(c(1,2,3,NA,4), c("1990-01-01", "1995-01-01", "1996-01-01", "2000-08-01", "2000-11-01"))

Title

Description

Title

Usage

tsmoniker(source, id)

Arguments

source

Source of the time series.

id

Id of the time series.


Makes a UCARIMA model canonical; more specifically, put all the noise of the components in one dedicated component

Description

Makes a UCARIMA model canonical; more specifically, put all the noise of the components in one dedicated component

Usage

ucarima_canonical(ucm, cmp = 0, adjust = TRUE)

Arguments

ucm

An UCARIMA model returned by ucarima_model().

cmp

Index of the component that will contain the noises; 0 if a new component with all the noises will be added to the model

adjust

If TRUE, some noise could be added to the model to ensure that all the components has positive (pseudo-)spectrum

Value

A new UCARIMA model

Examples

mod1 <- arima_model("trend", delta = c(1,-2,1))
mod2 <- arima_model("noise", var = 1600)
hp <- ucarima_model(components=list(mod1, mod2))
hpc <- ucarima_canonical(hp, cmp=2)

Estimate UCARIMA Model

Description

Estimate UCARIMA Model

Usage

ucarima_estimate(x, ucm, stdev = TRUE)

Arguments

x

Univariate time series

ucm

An UCARIMA model returned by ucarima_model().

stdev

TRUE if standard deviation of the components are computed

Value

A matrix containing the different components and their standard deviations if stdev is TRUE.

Examples

mod1 <- arima_model("trend", delta = c(1,-2,1))
mod2 <- arima_model("noise", var = 16)
hp <- ucarima_model(components=list(mod1, mod2))
s <- log(aggregate(retail$AutomobileDealers))
all <- ucarima_estimate(s, hp, stdev=TRUE)
plot(s, type = 'l')
t <- ts(all[,1], frequency = frequency(s), start = start(s))
lines(t, col='blue')

Creates an UCARIMA model, which is composed of ARIMA models with independent innovations.

Description

Creates an UCARIMA model, which is composed of ARIMA models with independent innovations.

Usage

ucarima_model(model = NULL, components, complements = NULL, checkmodel = FALSE)

Arguments

model

The reduced model. Usually not provided.

components

The ARIMA models representing the components

complements

Complements of (some) components. Usually not provided

checkmodel

When the model is provided and checkmodel is TRUE, we check that it indeed corresponds to the reduced form of the components; similar controls are applied on complements. Currently not implemented

Value

A list with the reduced model, the components and their complements

Examples

mod1 <- arima_model("trend", delta = c(1,-2,1))
mod2 <- arima_model("noise", var = 1600)
hp<-ucarima_model(components=list(mod1, mod2))
print(hp$model)

Wiener Kolmogorov Estimators

Description

Wiener Kolmogorov Estimators

Usage

ucarima_wk(ucm, cmp, signal = TRUE, nspectrum = 601, nwk = 300)

Arguments

ucm

An UCARIMA model returned by ucarima_model().

cmp

Index of the component for which we want to compute the filter

signal

TRUE for the signal (component), FALSE for the noise (complement)

nspectrum

Number of points used to compute the (pseudo-) spectrum of the estimator

nwk

Number of weights of the wiener-kolmogorov filter returned in the result

Value

A list with the (pseudo-)spectrum, the weights of the filter and the squared-gain function (with the same number of points as the spectrum)

Examples

mod1 <- arima_model("trend", delta = c(1,-2,1))
mod2 <- arima_model("noise", var = 1600)
hp<-ucarima_model(components=list(mod1, mod2))
wk1<-ucarima_wk(hp, 1, nwk=50)
wk2<-ucarima_wk(hp, 2)
plot(wk1$filter, type='h')

Create a Composite Calendar

Description

Allows to combine two or more calendars into one calendar, weighting all the holidays of each of them.

Usage

weighted_calendar(calendars, weights)

Arguments

calendars

list of calendars.

weights

vector of weights associated to each calendar.

Details

Composite calendars are useful for a series that including data from more than one country/region. They can be used, for example, to create the calendar for the European Union or to create the national calendar for a country, in which regional holidays are celebrated. For example, in Germany public holidays are determined by the federal states. Therefore, Epiphany is celebrated only in Baden-Wurttemberg, Bavaria and in Saxony-Anhalt, while from 1994 Day of Repentance and Prayer is celebrated only in Saxony.

Value

returns an object of class c("JD3_WEIGHTEDCALENDAR","JD3_CALENDARDEFINITION")

References

More information on calendar correction in JDemetra+ online documentation: https://jdemetra-new-documentation.netlify.app/a-calendar-correction

See Also

national_calendar, chained_calendar

Examples

Belgium <- national_calendar(list(special_day("NEWYEAR"),fixed_day(7,21)))
France <- national_calendar(list(special_day("NEWYEAR"),fixed_day(7,14)))
composite_calendar<- weighted_calendar(list(France,Belgium), weights = c(1,2))