{
  "_id": "6a23b8dc530b9bc726bd8289",
  "Package": "pcts",
  "Type": "Package",
  "Title": "Periodically Correlated and Periodically Integrated Time Series",
  "Description": "Classes and methods for modelling and simulation of\nperiodically correlated (PC) and periodically integrated time\nseries.  Compute theoretical periodic autocovariances and\nrelated properties of PC autoregressive moving average models.\nSome original methods including Boshnakov & Iqelan (2009)\n<doi:10.1111/j.1467-9892.2009.00617.x>, Boshnakov (1996)\n<doi:10.1111/j.1467-9892.1996.tb00281.x>.",
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  "URL": "https://geobosh.github.io/pcts/ (website)\nhttps://github.com/GeoBosh/pcts/ (devel)",
  "BugReports": "https://github.com/GeoBosh/pcts/issues",
  "License": "GPL (>= 2)",
  "Collate": "utils.R test1.r PeriodicCalc.R pcstat.R pc00smallutil.r\npc02filters.r pc03simu.r acfsums.R pcls.R pcarma_model.R\npcarma_acf.R generics.R autocovariances.R classCycle.R\npcFilterClasses.R PeriodicClasses.R cyclic.R\nFittedPeriodicModels.R fitPM.R pcTest.R PeriodicVector.R sim.R\noptimcore.R trig.R",
  "RoxygenNote": "7.1.1",
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  "Repository": "https://geobosh.r-universe.dev",
  "Date/Publication": "2023-11-28 21:45:10 UTC",
  "RemoteUrl": "https://github.com/geobosh/pcts",
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  "Author": "Georgi N. Boshnakov [aut, cre]",
  "Maintainer": "Georgi N. Boshnakov <georgi.boshnakov@manchester.ac.uk>",
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  "_topics": [
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    "periodic-models",
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    "as_Pctime",
    "as.Date",
    "as.Date.Cyclic",
    "as.Date.PeriodicTimeSeries",
    "autocorrelations",
    "autocovariances",
    "availEnd",
    "availStart",
    "backwardPartialCoefficients",
    "backwardPartialVariances",
    "BuiltinCycle",
    "coef",
    "Cyclic",
    "date",
    "date.Cyclic",
    "date<-",
    "filterCoef",
    "filterOrder",
    "filterPoly",
    "filterPolyCoef",
    "fit_trigPAR_optim",
    "fitPM",
    "fitted",
    "head",
    "intercept2permean",
    "isStationaryModel",
    "maxLag",
    "mC.ss",
    "meancovmat",
    "meanvarcheck",
    "modelCenter",
    "modelCoef",
    "modelCycle",
    "modelCycle<-",
    "modelIntercept",
    "modelOrder",
    "modelPoly",
    "modelPolyCoef",
    "na.trim",
    "nCycles",
    "nSeasons",
    "nTicks",
    "num2pcpar",
    "nUnitRoots",
    "nVariables",
    "parcovmatlist",
    "partialAutocorrelations",
    "partialAutocovariances",
    "partialCoefficients",
    "partialVariances",
    "pc_sdfactor",
    "pc.acf.parModel",
    "pc.filter",
    "pc.filter.xarma",
    "pc.hat.h",
    "pc.sdfactor",
    "pcacf_pwn_var",
    "pcacfMat",
    "pcApply",
    "pcAr.ss",
    "pcAR2acf",
    "pcarma_acvf_lazy",
    "pcarma_acvf_system",
    "pcarma_acvf2model",
    "pcarma_h",
    "pcarma_h_lazy",
    "pcarma_param_system",
    "pcarma_prepare",
    "pcarma_tovec",
    "pcarma_unvec",
    "pcArray",
    "pcCycle",
    "pclsdf",
    "pclspiar",
    "pcMatrix",
    "pcMean",
    "pcTest",
    "Pctime",
    "pcts",
    "pcts_exdata",
    "pctsArray",
    "pdSafeParOrder",
    "periodic_acf1_test",
    "PeriodicArModel",
    "PeriodicVector",
    "permean2intercept",
    "permodelmf",
    "pi1ar2par",
    "plot",
    "pwn_McLeodLjungBox_test",
    "residuals",
    "seqSeasons",
    "sigmaSq",
    "sim_parAcvf",
    "sim_parCoef",
    "sim_pc",
    "sim_pwn",
    "slMatrix",
    "tail",
    "test_piar",
    "toSeason",
    "toSeasonPair",
    "tsMatrix",
    "tsVec",
    "tsVector",
    "ttmatToslPairs",
    "ttTosl",
    "unitCycle",
    "unitCycle<-",
    "unitSeason",
    "unitSeason<-",
    "vcov",
    "Vec",
    "xx.ss"
  ],
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    {
      "name": "dataFranses1996",
      "title": "Example data from Franses (1996)",
      "object": "dataFranses1996",
      "class": [
        "mts",
        "ts",
        "matrix"
      ],
      "fields": [
        "year",
        "USTotalIPI",
        "CanadaUnemployment",
        "GermanyGNP",
        "UKTotalInvestment",
        "SA_USTotalIPI",
        "SA_CanadaUnemployment",
        "SA_GermanyGNP",
        "UKGDP",
        "UKTotalConsumption",
        "UKNondurablesConsumption",
        "UKExport",
        "UKImport",
        "UKPublicInvestment",
        "UKWorkforce",
        "SwedenNondurablesConsumption",
        "SwedenDisposableIncome",
        "SA_SwedenNondurablesConsumption",
        "SA_SwedenDisposableIncome"
      ],
      "rows": 148,
      "table": true,
      "tojson": true
    },
    {
      "name": "ex1f",
      "title": "An example PAR autocorrelation function",
      "object": "ex1f",
      "class": [
        "function"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "four_stocks_since2016_01_01",
      "title": "Data for four stocks since 2016-01-01",
      "object": "four_stocks_since2016_01_01",
      "class": [
        "list"
      ],
      "fields": [],
      "table": false,
      "tojson": false
    },
    {
      "name": "Fraser2017",
      "title": "Fraser River at Hope, mean monthly flow",
      "object": "Fraser2017",
      "class": [
        "ts"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "pcts-package",
      "title": "Periodically Correlated and Periodically Integrated Time Series",
      "topics": [
        "pcts-package"
      ]
    },
    {
      "page": "zzbracket-methods",
      "title": "Indexing of objects from classes in package pcts",
      "topics": [
        "[,BasicCycle,ANY,missing,ANY-method",
        "[,BasicCycle,missing,missing,ANY-method",
        "[,PeriodicMTS,ANY,ANY,ANY-method",
        "[,PeriodicMTS,ANY,missing,ANY-method",
        "[,PeriodicMTS,AnyDateTime,ANY,ANY-method",
        "[,PeriodicMTS,AnyDateTime,missing,ANY-method",
        "[,PeriodicMTS,missing,missing,ANY-method",
        "[,PeriodicTS,AnyDateTime,missing,ANY-method",
        "[,PeriodicTS,missing,missing,ANY-method",
        "[,PeriodicVector,ANY,ANY,ANY-method",
        "[,PeriodicVector,ANY,missing,ANY-method",
        "[,PeriodicVector,missing,ANY,ANY-method",
        "[,PeriodicVector,missing,missing,ANY-method",
        "[,VirtualPeriodicAutocovarianceModel,missing,missing,ANY-method",
        "[,VirtualPeriodicAutocovarianceModel,missing,numeric,ANY-method",
        "[,VirtualPeriodicAutocovarianceModel,numeric,missing,ANY-method",
        "[,VirtualPeriodicAutocovarianceModel,numeric,numeric,ANY-method",
        "[-methods"
      ]
    },
    {
      "page": "zzbracket_bracket-methods",
      "title": "Methods for function'`[[`' in package 'pcts'",
      "topics": [
        "[[,PeriodicAutocovarianceModel,numeric-method",
        "[[,PeriodicMTS,ANY,ANY-method",
        "[[,PeriodicMTS,ANY-method",
        "[[,VirtualPeriodicAutocovarianceModel,numeric,ANY-method",
        "[[-methods"
      ]
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    {
      "page": "zzbracket_ass",
      "title": "Index assignments for objects from classes in package pcts",
      "topics": [
        "[<-,ANY,ANY,ANY,ANY-method",
        "[<-,BasicCycle,ANY,missing,ANY-method",
        "[<-,BasicCycle,missing,missing,ANY-method",
        "[<-,pc.armaPQ,ANY,ANY,ANY-method",
        "[<-,PeriodicAutocovarianceModel,ANY,ANY,ANY-method",
        "[<-,PeriodicVector,ANY,ANY,ANY-method",
        "[<-,PeriodicVector,missing,ANY,ANY-method",
        "[<-,slMatrix,ANY,ANY,ANY-method",
        "[<--methods"
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    },
    {
      "page": "zzdollar-methods",
      "title": "Methods for function'$' in package 'pcts'",
      "topics": [
        "$,PeriodicMTS-method",
        "$-methods"
      ]
    },
    {
      "page": "allSeasons",
      "title": "Get names of seasons",
      "topics": [
        "allSeasons",
        "allSeasons,BasicCycle,ANY-method",
        "allSeasons,Cyclic,ANY-method",
        "allSeasons,DayWeekCycle,logical-method",
        "allSeasons,DayWeekCycle,missing-method",
        "allSeasons,Every30MinutesCycle,logical-method",
        "allSeasons,Every30MinutesCycle,missing-method",
        "allSeasons,MonthYearCycle,logical-method",
        "allSeasons,MonthYearCycle,missing-method",
        "allSeasons,OpenCloseCycle,logical-method",
        "allSeasons,OpenCloseCycle,missing-method",
        "allSeasons,QuarterYearCycle,logical-method",
        "allSeasons,QuarterYearCycle,missing-method",
        "allSeasons,SimpleCycle,ANY-method",
        "allSeasons,VirtualPeriodicModel,ANY-method",
        "allSeasons-methods",
        "allSeasons<-",
        "allSeasons<-,Cyclic-method",
        "allSeasons<-,SimpleCycle-method",
        "seqSeasons",
        "unitCycle",
        "unitCycle<-",
        "unitSeason",
        "unitSeason<-"
      ]
    },
    {
      "page": "as_date-methods",
      "title": "Replace methods for as_date in package pcts",
      "topics": [
        "as_date,ANY-method",
        "as_date,character-method",
        "as_date,Cyclic-method",
        "as_date,numeric-method",
        "as_date,PeriodicTimeSeries-method",
        "as_date,POSIXt-method",
        "as_date-methods"
      ]
    },
    {
      "page": "as_datetime-methods",
      "title": "Methods for as_datetime in package pcts",
      "topics": [
        "as_datetime,PeriodicTimeSeries-method",
        "as_datetime-methods"
      ]
    },
    {
      "page": "autocorrelations-methods",
      "title": "Compute autocorrelations and periodic autocorrelations",
      "topics": [
        "autocorrelations",
        "autocorrelations,numeric,ANY,missing-method",
        "autocorrelations,PeriodicAutocovariances,ANY,missing-method",
        "autocorrelations,PeriodicTimeSeries,ANY,missing-method",
        "autocorrelations,SamplePeriodicAutocovariances,ANY,missing-method",
        "autocorrelations,VirtualPeriodicAutocovarianceModel,ANY,missing-method",
        "autocorrelations,VirtualPeriodicAutocovariances,ANY,missing-method",
        "autocorrelations-methods"
      ]
    },
    {
      "page": "autocovariances-methods",
      "title": "Compute autocovariances and periodic autocovariances",
      "topics": [
        "autocovariances",
        "autocovariances,matrix,ANY-method",
        "autocovariances,matrix-method",
        "autocovariances,numeric,ANY-method",
        "autocovariances,numeric-method",
        "autocovariances,PeriodicArmaModel,ANY-method",
        "autocovariances,PeriodicArmaModel-method",
        "autocovariances,PeriodicArModel,ANY-method",
        "autocovariances,PeriodicArModel-method",
        "autocovariances,PeriodicTS,ANY-method",
        "autocovariances,VirtualPeriodicAutocovariances,ANY-method",
        "autocovariances-methods"
      ]
    },
    {
      "page": "availStart",
      "title": "Time of first or last non-NA value",
      "topics": [
        "availEnd",
        "availStart"
      ]
    },
    {
      "page": "backwardPartialCoefficients-methods",
      "title": "Compute periodic backward partial coefficients",
      "topics": [
        "backwardPartialCoefficients,VirtualPeriodicAutocovariances-method",
        "backwardPartialCoefficients-methods"
      ]
    },
    {
      "page": "backwardPartialVariances-methods",
      "title": "Compute periodic backward partial variances",
      "topics": [
        "backwardPartialVariances,VirtualPeriodicAutocovariances-method",
        "backwardPartialVariances-methods"
      ]
    },
    {
      "page": "BareCycle-class",
      "title": "Class BareCycle",
      "topics": [
        "BareCycle-class"
      ]
    },
    {
      "page": "BasicCycle-class",
      "title": "Class BasicCycle",
      "topics": [
        "BasicCycle-class"
      ]
    },
    {
      "page": "BuiltinCycle-class",
      "title": "Class '\"BuiltinCycle\"' and its subclasses in package 'pcts'",
      "topics": [
        "allSeasons,BuiltinCycle-method",
        "BuiltinCycle-class",
        "DayWeekCycle-class",
        "Every30MinutesCycle-class",
        "initialize,BuiltinCycle-method",
        "MonthYearCycle-class",
        "OpenCloseCycle-class",
        "QuarterYearCycle-class",
        "unitCycle,BuiltinCycle-method",
        "unitSeason,BuiltinCycle-method"
      ]
    },
    {
      "page": "Cyclic",
      "title": "Create objects from class Cyclic",
      "topics": [
        "as.Date.Cyclic",
        "as.Date.PeriodicTimeSeries",
        "Cyclic",
        "date.Cyclic",
        "date<-"
      ]
    },
    {
      "page": "Cyclic-class",
      "title": "Class '\"Cyclic\"'",
      "topics": [
        "Cyclic-class"
      ]
    },
    {
      "page": "dataFranses1996",
      "title": "Example data from Franses (1996)",
      "topics": [
        "dataFranses1996"
      ]
    },
    {
      "page": "date_ass-methods",
      "title": "Replace methods for date in package pcts",
      "topics": [
        "date<-,BasicCycle-method",
        "date<-,Cyclic-method",
        "date<--methods"
      ]
    },
    {
      "page": "ex1f",
      "title": "An example PAR autocorrelation function",
      "topics": [
        "ex1f"
      ]
    },
    {
      "page": "filterCoef-methods",
      "title": "Get the coefficients of a periodic filter",
      "topics": [
        "filterCoef,PeriodicBJFilter,character-method",
        "filterCoef,PeriodicSPFilter,character-method",
        "filterCoef-methods"
      ]
    },
    {
      "page": "fit_trigPAR_optim",
      "title": "Fit a subset trigonometric PAR model",
      "topics": [
        "fit_trigPAR_optim"
      ]
    },
    {
      "page": "fitPM",
      "title": "Fit periodic time series models",
      "topics": [
        "fitPM",
        "fitPM,ANY,ANY-method",
        "fitPM,mcSpec,ANY-method",
        "fitPM,numeric,ANY-method",
        "fitPM,PeriodicArModel,ANY-method",
        "fitPM,PeriodicArModel,PeriodicMTS-method",
        "fitPM,PeriodicArModel,PeriodicTS-method",
        "fitPM,PiPeriodicArModel,ANY-method",
        "fitPM,SiPeriodicArModel,ANY-method",
        "fitPM-methods"
      ]
    },
    {
      "page": "FittedPeriodicArmaModel-class",
      "title": "Class FittedPeriodicArmaModel",
      "topics": [
        "as_pcarma_list,FittedPeriodicArmaModel-method",
        "FittedPeriodicArmaModel-class",
        "show,FittedPeriodicArmaModel-method"
      ]
    },
    {
      "page": "FittedPeriodicArModel-class",
      "title": "Class FittedPeriodicArModel",
      "topics": [
        "FittedPeriodicArModel-class"
      ]
    },
    {
      "page": "four_stocks_since2016_01_01",
      "title": "Data for four stocks since 2016-01-01",
      "topics": [
        "four_stocks_since2016_01_01"
      ]
    },
    {
      "page": "Fraser2017",
      "title": "Fraser River at Hope, mean monthly flow",
      "topics": [
        "Fraser2017"
      ]
    },
    {
      "page": "maxLag-methods",
      "title": "Methods for function maxLag() in package 'pcts'",
      "topics": [
        "maxLag,PeriodicArmaFilter-method",
        "maxLag-methods"
      ]
    },
    {
      "page": "mC.ss",
      "title": "Create environment for mc-fitting",
      "topics": [
        "mC.ss",
        "xx.ss"
      ]
    },
    {
      "page": "meanvarcheck",
      "title": "Asymptotic covariance matrix of periodic mean",
      "topics": [
        "meancovmat",
        "meanvarcheck"
      ]
    },
    {
      "page": "modelCycle",
      "title": "Get the cycle of a periodic object",
      "topics": [
        "modelCycle",
        "modelCycle,ANY-method",
        "modelCycle,ModelCycleSpec-method",
        "modelCycle-methods",
        "modelCycle<-",
        "modelCycle<-,ANY-method",
        "modelCycle<-,ModelCycleSpec-method",
        "modelCycle<--methods"
      ]
    },
    {
      "page": "ModelCycleSpec-class",
      "title": "Class ModelCycleSpec",
      "topics": [
        "ModelCycleSpec-class"
      ]
    },
    {
      "page": "nCycles",
      "title": "Basic information about periodic ts objects",
      "topics": [
        "nCycles",
        "nSeasons",
        "nTicks",
        "nVariables"
      ]
    },
    {
      "page": "nSeasons-methods",
      "title": "Number of seasons of a periodic object",
      "topics": [
        "nSeasons,BareCycle-method",
        "nSeasons,Cyclic-method",
        "nSeasons,DayWeekCycle-method",
        "nSeasons,Every30MinutesCycle-method",
        "nSeasons,MonthYearCycle-method",
        "nSeasons,OpenCloseCycle-method",
        "nSeasons,PartialCycle-method",
        "nSeasons,PeriodicFilterModel-method",
        "nSeasons,PeriodicIntegratedArmaSpec-method",
        "nSeasons,PeriodicInterceptSpec-method",
        "nSeasons,PeriodicMonicFilterSpec-method",
        "nSeasons,QuarterYearCycle-method",
        "nSeasons,SarimaFilter-method",
        "nSeasons,VirtualArmaFilter-method",
        "nSeasons,VirtualPeriodicArmaFilter-method",
        "nSeasons,VirtualPeriodicModel-method",
        "nSeasons-methods"
      ]
    },
    {
      "page": "num2pcpar",
      "title": "Fit PAR model using sample autocorrelations",
      "topics": [
        "num2pcpar"
      ]
    },
    {
      "page": "parcovmatlist",
      "title": "Compute asymptotic covariance matrix for PAR model",
      "topics": [
        "parcovmatlist"
      ]
    },
    {
      "page": "partialAutocorrelations-methods",
      "title": "Compute periodic partial autocorrelations",
      "topics": [
        "partialAutocorrelations",
        "partialAutocorrelations,PeriodicAutocovariances,ANY,missing-method",
        "partialAutocorrelations,VirtualPeriodicAutocovariances,ANY,ANY-method",
        "partialAutocorrelations-methods"
      ]
    },
    {
      "page": "partialAutocovariances-methods",
      "title": "Compute periodic partial autocovariances",
      "topics": [
        "partialAutocovariances,VirtualPeriodicAutocovariances-method",
        "partialAutocovariances-methods"
      ]
    },
    {
      "page": "partialCoefficients-methods",
      "title": "Compute periodic partial coefficients",
      "topics": [
        "partialCoefficients",
        "partialCoefficients,PeriodicArModel-method",
        "partialCoefficients,VirtualPeriodicAutocovariances-method",
        "partialCoefficients-methods"
      ]
    },
    {
      "page": "PartialCycle-class",
      "title": "Class PartialCycle",
      "topics": [
        "allSeasons,PartialCycle,logical-method",
        "allSeasons,PartialCycle,missing-method",
        "PartialCycle-class"
      ]
    },
    {
      "page": "PartialPeriodicAutocorrelations-class",
      "title": "Class PartialPeriodicAutocorrelations",
      "topics": [
        "PartialPeriodicAutocorrelations-class"
      ]
    },
    {
      "page": "partialVariances-methods",
      "title": "Compute periodic partial variances",
      "topics": [
        "partialVariances",
        "partialVariances,VirtualPeriodicAutocovariances-method",
        "partialVariances-methods"
      ]
    },
    {
      "page": "pc_sdfactor",
      "title": "Compute normalising factors",
      "topics": [
        "pc.sdfactor",
        "pc_sdfactor"
      ]
    },
    {
      "page": "pc.filter",
      "title": "Applies a periodic ARMA filter to a time series",
      "topics": [
        "pc.armafilter",
        "pc.filter"
      ]
    },
    {
      "page": "pc.filter.xarma",
      "title": "Filter time series with periodic arma filters",
      "topics": [
        "pc.filter.xarma"
      ]
    },
    {
      "page": "pc.hat.h",
      "title": "function to compute estimates of the h weights",
      "topics": [
        "pc.hat.h"
      ]
    },
    {
      "page": "pc.wn.var.acrf",
      "title": "Variances of sample periodic autocorrelations",
      "topics": [
        "pcacf_pwn_var"
      ]
    },
    {
      "page": "pcacfMat",
      "title": "Compute PAR autocovariance matrix",
      "topics": [
        "pc.acf.parModel",
        "pcacfMat"
      ]
    },
    {
      "page": "pcalg1",
      "title": "Periodic Levinson-Durbin algorithm",
      "topics": [
        "alg1"
      ]
    },
    {
      "page": "pcalg1util",
      "title": "Give partial periodic autocorrelations or other partial prediction quantities for a pcAcvf object.",
      "topics": [
        "alg1util"
      ]
    },
    {
      "page": "pcApply-methods",
      "title": "Apply a function to each season",
      "topics": [
        "pcApply",
        "pcApply,matrix-method",
        "pcApply,numeric-method",
        "pcApply,PeriodicMTS-method",
        "pcApply,PeriodicTS-method",
        "pcApply-methods"
      ]
    },
    {
      "page": "pcAr.ss",
      "title": "Compute the sum of squares for a given PAR model",
      "topics": [
        "pcAr.ss"
      ]
    },
    {
      "page": "pcAR2acf",
      "title": "Compute periodic autocorrelations from PAR coefficients",
      "topics": [
        "pcAR2acf"
      ]
    },
    {
      "page": "pc.acf2model",
      "title": "Fit a PC-ARMA model to a periodic autocovariance function",
      "topics": [
        "pcarma_acvf2model"
      ]
    },
    {
      "page": "pcarma_solve",
      "title": "Functions to compute various characteristics of a PCARMA model",
      "topics": [
        "pcarma_acvf_lazy",
        "pcarma_acvf_system",
        "pcarma_h",
        "pcarma_h_lazy",
        "pcarma_param_system"
      ]
    },
    {
      "page": "pc.modelunvec",
      "title": "Functions for work with a simple list specification of pcarma models",
      "topics": [
        "pcarma_prepare",
        "pcarma_tovec",
        "pcarma_unvec"
      ]
    },
    {
      "page": "pcCycle-methods",
      "title": "Create or extract Cycle objects",
      "topics": [
        "BuiltinCycle",
        "pcCycle",
        "pcCycle,BasicCycle,character-method",
        "pcCycle,BasicCycle,missing-method",
        "pcCycle,character,ANY-method",
        "pcCycle,character,character-method",
        "pcCycle,character,missing-method",
        "pcCycle,Cyclic,ANY-method",
        "pcCycle,numeric,character-method",
        "pcCycle,numeric,missing-method",
        "pcCycle,PeriodicTimeSeries,character-method",
        "pcCycle,PeriodicTimeSeries,missing-method",
        "pcCycle,ts,character-method",
        "pcCycle,ts,missing-method",
        "pcCycle-methods"
      ]
    },
    {
      "page": "pclsdf",
      "title": "Fit PAR models using least squares",
      "topics": [
        "pclsdf"
      ]
    },
    {
      "page": "pclspiar",
      "title": "Fit a periodically integrated autoregressive model",
      "topics": [
        "pclspiar"
      ]
    },
    {
      "page": "pcMean-methods",
      "title": "Compute periodic mean",
      "topics": [
        "pcMean",
        "pcMean,matrix-method",
        "pcMean,numeric-method",
        "pcMean,PeriodicMTS-method",
        "pcMean,PeriodicTS-method",
        "pcMean,VirtualPeriodicArmaModel-method",
        "pcMean-methods"
      ]
    },
    {
      "page": "pcPlot",
      "title": "Plot periodic time series",
      "topics": [
        "boxplot.PeriodicTimeSeries",
        "monthplot.PeriodicTimeSeries",
        "pcPlot"
      ]
    },
    {
      "page": "pcTest-methods",
      "title": "Test for periodicity",
      "topics": [
        "pcTest",
        "pcTest,ANY,ANY-method",
        "pcTest,ANY,character-method",
        "pcTest,numeric,character-method",
        "pcTest,PeriodicTimeSeries,character-method",
        "pcTest,slMatrix,character-method",
        "pcTest-methods"
      ]
    },
    {
      "page": "Pctime",
      "title": "Convert between Pctime and datetime objects",
      "topics": [
        "as_Pctime",
        "as_Pctime.Cyclic",
        "as_Pctime.PeriodicTimeSeries",
        "Pctime",
        "[.Date",
        "[.Pctime",
        "[.ts",
        "[<-.POSIXlt",
        "[[.Date",
        "[[.Pctime"
      ]
    },
    {
      "page": "pcts-methods",
      "title": "Create objects from periodic time series classes",
      "topics": [
        "pcts",
        "pcts,ANY-method",
        "pcts,data.frame,ANY-method",
        "pcts,matrix,BasicCycle-method",
        "pcts,matrix,missing-method",
        "pcts,matrix,numeric-method",
        "pcts,mts,missing-method",
        "pcts,mts,numeric-method",
        "pcts,numeric,BasicCycle-method",
        "pcts,numeric,missing-method",
        "pcts,numeric,numeric-method",
        "pcts,ts,missing-method",
        "pcts,ts,numeric-method",
        "pcts,xtsORzoo,missing-method",
        "pcts-methods"
      ]
    },
    {
      "page": "pcts_exdata",
      "title": "Periodic time series objects for examples",
      "topics": [
        "pcts_exdata"
      ]
    },
    {
      "page": "pcts-deprecated",
      "title": "Deprecated Functions and classes in Package 'pcts'",
      "topics": [
        "allSeasons,FiveDayWeekCycle,logical-method",
        "allSeasons,FiveDayWeekCycle,missing-method",
        "FiveDayWeekCycle-class",
        "mCpar",
        "nSeasons,FiveDayWeekCycle-method",
        "pcts-deprecated",
        "ptildeorders",
        "sim_arAcf",
        "unitCycle,FiveDayWeekCycle-method",
        "unitSeason,FiveDayWeekCycle-method"
      ]
    },
    {
      "page": "pdSafeParOrder",
      "title": "Functions for some basic operations with seasons",
      "topics": [
        "pdSafeParOrder"
      ]
    },
    {
      "page": "pc.test.periodicity",
      "title": "McLeod's test for periodic autocorrelation",
      "topics": [
        "periodic_acf1_test"
      ]
    },
    {
      "page": "PeriodicArmaFilter-class",
      "title": "Class '\"PeriodicArmaFilter\"'",
      "topics": [
        "PeriodicArFilter-class",
        "PeriodicArmaFilter-class",
        "PeriodicMaFilter-class"
      ]
    },
    {
      "page": "PeriodicArmaModel-class",
      "title": "Class PeriodicArmaModel",
      "topics": [
        "PeriodicArmaModel-class"
      ]
    },
    {
      "page": "PeriodicArmaSpec-class",
      "title": "Class PeriodicArmaSpec",
      "topics": [
        "innovationVariances,PeriodicArmaSpec-method",
        "PeriodicArmaSpec-class"
      ]
    },
    {
      "page": "PeriodicArModel-class",
      "title": "Class PeriodicArModel",
      "topics": [
        "PeriodicArModel-class"
      ]
    },
    {
      "page": "PeriodicArModel-methods",
      "title": "Create objects from class PeriodicArModel",
      "topics": [
        "PeriodicArModel",
        "PeriodicArModel,matrix-method",
        "PeriodicArModel,numeric-method",
        "PeriodicArModel,PeriodicArmaModel-method",
        "PeriodicArModel,PeriodicMonicFilterSpec-method",
        "PeriodicArModel,VirtualPeriodicArmaModel-method",
        "PeriodicArModel-methods"
      ]
    },
    {
      "page": "PeriodicAutocorrelations-class",
      "title": "Class PeriodicAutocorrelations",
      "topics": [
        "PeriodicAutocorrelations-class",
        "plot,PeriodicAutocorrelations,missing-method"
      ]
    },
    {
      "page": "PeriodicAutocovariances-class",
      "title": "Class PeriodicAutocovariances",
      "topics": [
        "PeriodicAutocovariances-class"
      ]
    },
    {
      "page": "PeriodicBJFilter-class",
      "title": "Class PeriodicBJFilter",
      "topics": [
        "PeriodicBJFilter-class",
        "PeriodicMonicFilterSpec-class"
      ]
    },
    {
      "page": "PeriodicFilterModel-class",
      "title": "Class PeriodicFilterModel",
      "topics": [
        "PeriodicFilterModel-class"
      ]
    },
    {
      "page": "PeriodicIntegratedArmaSpec-class",
      "title": "Class PeriodicIntegratedArmaSpec",
      "topics": [
        "PeriodicIntegratedArmaSpec-class"
      ]
    },
    {
      "page": "PeriodicInterceptSpec-class",
      "title": "Class PeriodicInterceptSpec",
      "topics": [
        "PeriodicInterceptSpec-class"
      ]
    },
    {
      "page": "PeriodicMaModel-class",
      "title": "Class PeriodicMaModel",
      "topics": [
        "PeriodicMaModel-class"
      ]
    },
    {
      "page": "PeriodicMTS_ts-class",
      "title": "Class '\"PeriodicMTS_ts\"'",
      "topics": [
        "PeriodicMTS_ts-class"
      ]
    },
    {
      "page": "PeriodicMTS_zooreg-class",
      "title": "Class '\"PeriodicMTS_zooreg\"'",
      "topics": [
        "PeriodicMTS_zooreg-class"
      ]
    },
    {
      "page": "PeriodicMTS-class",
      "title": "Class '\"PeriodicMTS\"'",
      "topics": [
        "PeriodicMTS-class",
        "plot,PeriodicMTS,missing-method"
      ]
    },
    {
      "page": "PeriodicSPFilter-class",
      "title": "Class PeriodicSPFilter",
      "topics": [
        "PeriodicSPFilter-class"
      ]
    },
    {
      "page": "PeriodicTimeSeries-class",
      "title": "Class PeriodicTimeSeries",
      "topics": [
        "PeriodicTimeSeries-class"
      ]
    },
    {
      "page": "PeriodicTS_ts-class",
      "title": "Class '\"PeriodicTS_ts\"'",
      "topics": [
        "PeriodicTS_ts-class"
      ]
    },
    {
      "page": "PeriodicTS_zooreg-class",
      "title": "Class '\"PeriodicTS_zooreg\"'",
      "topics": [
        "PeriodicTS_zooreg-class"
      ]
    },
    {
      "page": "PeriodicTS-class",
      "title": "Class '\"PeriodicTS\"'",
      "topics": [
        "coerce,mts,PeriodicTS-method",
        "coerce,PeriodicTS,ts-method",
        "coerce,ts,PeriodicTS-method",
        "PeriodicTS-class",
        "plot,PeriodicTS,missing-method",
        "show,PeriodicTS-method",
        "summary,PeriodicTS-method"
      ]
    },
    {
      "page": "PeriodicVector-class",
      "title": "Class PeriodicVector",
      "topics": [
        "PeriodicVector",
        "PeriodicVector-class"
      ]
    },
    {
      "page": "permean2intercept",
      "title": "Convert between periodic centering and intercepts",
      "topics": [
        "intercept2permean",
        "permean2intercept"
      ]
    },
    {
      "page": "permodelmf",
      "title": "Compute the multi-companion form of a per model",
      "topics": [
        "permodelmf"
      ]
    },
    {
      "page": "pi1ar2par",
      "title": "Convert PIAR coefficients to PAR coefficients",
      "topics": [
        "pi1ar2par",
        "piar2par"
      ]
    },
    {
      "page": "PiPeriodicArmaModel-class",
      "title": "Class PiPeriodicArmaModel",
      "topics": [
        "PiPeriodicArmaModel-class"
      ]
    },
    {
      "page": "PiPeriodicArModel-class",
      "title": "Class PiPeriodicArModel",
      "topics": [
        "PiPeriodicArModel-class"
      ]
    },
    {
      "page": "PiPeriodicMaModel-class",
      "title": "Class PiPeriodicMaModel",
      "topics": [
        "PiPeriodicMaModel-class"
      ]
    },
    {
      "page": "pc.test.LjungBox",
      "title": "McLeod-Ljung-Box test for periodic white noise",
      "topics": [
        "pwn_McLeodLjungBox_test"
      ]
    },
    {
      "page": "SamplePeriodicAutocorrelations-class",
      "title": "Class SamplePeriodicAutocorrelations",
      "topics": [
        "SamplePeriodicAutocorrelations-class"
      ]
    },
    {
      "page": "SamplePeriodicAutocovariances-class",
      "title": "Class SamplePeriodicAutocovariances",
      "topics": [
        "SamplePeriodicAutocovariances-class"
      ]
    },
    {
      "page": "seqSeasons-methods",
      "title": "Methods for seqSeasons() in package pcts",
      "topics": [
        "seqSeasons,BasicCycle-method",
        "seqSeasons,Cyclic-method",
        "seqSeasons,VirtualPeriodicModel-method",
        "seqSeasons-methods"
      ]
    },
    {
      "page": "sigmaSq-methods",
      "title": "Methods for 'sigmaSq' in package pcts",
      "topics": [
        "sigmaSq,PeriodicIntegratedArmaSpec-method",
        "sigmaSq,PeriodicInterceptSpec-method",
        "sigmaSq-methods"
      ]
    },
    {
      "page": "sim_parAcvf",
      "title": "Create a random periodic autocovariance function",
      "topics": [
        "sim_parAcvf"
      ]
    },
    {
      "page": "sim_parCoef",
      "title": "Generate a periodic autoregression model",
      "concept": [
        "periodic autoregression"
      ],
      "topics": [
        "sim_parCoef"
      ]
    },
    {
      "page": "sim_pc",
      "title": "Simulate periodically correlated ARMA series",
      "topics": [
        "sim_pc"
      ]
    },
    {
      "page": "sim_pwn",
      "title": "Simulate periodic white noise",
      "topics": [
        "sim_pwn"
      ]
    },
    {
      "page": "SimpleCycle-class",
      "title": "Class SimpleCycle",
      "topics": [
        "SimpleCycle-class"
      ]
    },
    {
      "page": "SiPeriodicArmaModel-class",
      "title": "Class SiPeriodicArmaModel",
      "topics": [
        "SiPeriodicArmaModel-class"
      ]
    },
    {
      "page": "SiPeriodicArModel-class",
      "title": "Class SiPeriodicArModel",
      "topics": [
        "SiPeriodicArModel-class"
      ]
    },
    {
      "page": "SiPeriodicMaModel-class",
      "title": "Class SiPeriodicMaModel",
      "topics": [
        "SiPeriodicMaModel-class"
      ]
    },
    {
      "page": "sl_utils",
      "title": "Functions for some basic operations with seasons",
      "topics": [
        "toSeason",
        "toSeasonPair",
        "ttmatToslPairs",
        "ttTosl"
      ]
    },
    {
      "page": "SubsetPM-class",
      "title": "Class SubsetPM",
      "topics": [
        "coef,SubsetPM-method",
        "fitted,SubsetPM-method",
        "residuals,SubsetPM-method",
        "show,SubsetPM-method",
        "SubsetPM-class",
        "vcov,SubsetPM-method"
      ]
    },
    {
      "page": "test_piar",
      "title": "Test for periodic integration",
      "topics": [
        "test_piar"
      ]
    },
    {
      "page": "unitCycle-methods",
      "title": "Methods for 'unitCycle' and 'unitSeason' in package pcts",
      "topics": [
        "unitCycle,ANY-method",
        "unitCycle,Cyclic-method",
        "unitCycle,DayWeekCycle-method",
        "unitCycle,Every30MinutesCycle-method",
        "unitCycle,MonthYearCycle-method",
        "unitCycle,OpenCloseCycle-method",
        "unitCycle,PartialCycle-method",
        "unitCycle,QuarterYearCycle-method",
        "unitCycle,SimpleCycle-method",
        "unitCycle,VirtualPeriodicModel-method",
        "unitCycle-methods",
        "unitSeason,ANY-method",
        "unitSeason,Cyclic-method",
        "unitSeason,DayWeekCycle-method",
        "unitSeason,Every30MinutesCycle-method",
        "unitSeason,MonthYearCycle-method",
        "unitSeason,OpenCloseCycle-method",
        "unitSeason,PartialCycle-method",
        "unitSeason,QuarterYearCycle-method",
        "unitSeason,SimpleCycle-method",
        "unitSeason,VirtualPeriodicModel-method",
        "unitSeason-methods"
      ]
    },
    {
      "page": "unitCycle_ass-methods",
      "title": "Methods for '`unitCycle<-`' and '`unitSeason<-`' in package pcts",
      "topics": [
        "unitCycle<-,Cyclic-method",
        "unitCycle<-,SimpleCycle-method",
        "unitCycle<--methods",
        "unitSeason<-,Cyclic-method",
        "unitSeason<-,SimpleCycle-method",
        "unitSeason<--methods"
      ]
    },
    {
      "page": "Vec",
      "title": "Core data of periodic time series",
      "topics": [
        "pcArray",
        "pcMatrix",
        "pctsArray",
        "tsMatrix",
        "tsVec",
        "tsVector",
        "Vec"
      ]
    },
    {
      "page": "window",
      "title": "Periodic methods for base R functions",
      "topics": [
        "cycle.PeriodicTimeSeries",
        "deltat.PeriodicTimeSeries",
        "end.Cyclic",
        "frequency.PeriodicTimeSeries",
        "na.trim",
        "na.trim.PeriodicMTS",
        "na.trim.PeriodicTS",
        "start.Cyclic",
        "time.PeriodicTimeSeries",
        "window",
        "window.PeriodicMTS",
        "window.PeriodicTS"
      ]
    },
    {
      "page": "zoo-class",
      "title": "Class zoo made S4",
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