{
  "_id": "6a1f316eb401979e73427b58",
  "Package": "exdex",
  "Type": "Package",
  "Title": "Estimation of the Extremal Index",
  "Version": "1.2.4",
  "Date": "2026-01-10",
  "Authors@R": "c(\nperson(c(\"Paul\", \"J.\"), \"Northrop\", email = \"p.northrop@ucl.ac.uk\",\nrole = c(\"aut\", \"cre\", \"cph\")),\nperson(\"Constantinos\", \"Christodoulides\", role = c(\"aut\", \"cph\"))\n)",
  "Description": "Performs frequentist inference for the extremal index of a\nstationary time series. Two types of methodology are used. One\ntype is based on a model that relates the distribution of block\nmaxima to the marginal distribution of series and leads to the\nsemiparametric maxima estimators described in Northrop (2015)\n<doi:10.1007/s10687-015-0221-5> and Berghaus and Bucher (2018)\n<doi:10.1214/17-AOS1621>. Sliding block maxima are used to\nincrease precision of estimation. A graphical block size\ndiagnostic is provided.  The other type of methodology uses a\nmodel for the distribution of threshold inter-exceedance times\n(Ferro and Segers (2003) <doi:10.1111/1467-9868.00401>). Three\nversions of this type of approach are provided: the iterated\nweight least squares approach of Suveges (2007)\n<doi:10.1007/s10687-007-0034-2>, the K-gaps model of Suveges\nand Davison (2010) <doi:10.1214/09-AOAS292> and a similar\napproach of Holesovsky and Fusek (2020)\n<doi:10.1007/s10687-020-00374-3> that we refer to as D-gaps.\nFor the K-gaps and D-gaps models this package allows missing\nvalues in the data, can accommodate independent subsets of\ndata, such as monthly or seasonal time series from different\nyears, and can incorporate information from right-censored\ninter-exceedance times. Graphical diagnostics for the threshold\nlevel and the respective tuning parameters K and D are\nprovided.",
  "License": "GPL (>= 2)",
  "LazyData": "true",
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  "VignetteBuilder": "knitr",
  "URL": "https://github.com/paulnorthrop/exdex,\nhttps://paulnorthrop.github.io/exdex/",
  "BugReports": "https://github.com/paulnorthrop/exdex/issues",
  "Config/testthat/edition": "3",
  "Repository": "https://paulnorthrop.r-universe.dev",
  "Date/Publication": "2026-02-14 17:24:02 UTC",
  "RemoteUrl": "https://github.com/paulnorthrop/exdex",
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  "Packaged": {
    "Date": "2026-05-15 08:21:10 UTC",
    "User": "root"
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  "Author": "Paul J. Northrop [aut, cre, cph],\nConstantinos Christodoulides [aut, cph]",
  "Maintainer": "Paul J. Northrop <p.northrop@ucl.ac.uk>",
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  "_created": "2026-05-15T08:21:10.000Z",
  "_published": "2026-06-02T19:39:26.092Z",
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  "_topics": [
    "block-maxima",
    "extremal-index",
    "extreme",
    "extreme-value-statistics",
    "extremes",
    "inference",
    "maxima",
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    {
      "page": "exdex-package",
      "title": "exdex: Estimation of the Extremal Index",
      "topics": [
        "exdex-package",
        "exdex"
      ]
    },
    {
      "page": "all_max_rcpp",
      "title": "Sliding and disjoint block maxima",
      "topics": [
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    {
      "page": "cheeseboro",
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      "title": "Threshold u and runs parameter D diagnostic for the D-gaps estimator",
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      "topics": [
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    {
      "page": "dgaps",
      "title": "Maximum likelihood estimation using left-censored inter-exceedances times",
      "topics": [
        "dgaps"
      ]
    },
    {
      "page": "dgaps_confint",
      "title": "Confidence intervals for the extremal index theta for '\"dgaps\"' objects",
      "topics": [
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        "dgaps_confint",
        "plot.confint_dgaps",
        "print.confint_dgaps"
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      "page": "dgaps_imt_stat",
      "title": "Statistics for the D-gaps information matrix test",
      "topics": [
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    {
      "page": "dgaps_methods",
      "title": "Methods for objects of class '\"dgaps\"'",
      "topics": [
        "coef.dgaps",
        "dgaps_methods",
        "logLik.dgaps",
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        "print.dgaps",
        "print.summary.dgaps",
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        "vcov.dgaps"
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    {
      "page": "dgaps_stat",
      "title": "Sufficient statistics for the left-censored inter-exceedances time model",
      "topics": [
        "dgaps_stat"
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    },
    {
      "page": "iwls",
      "title": "Iterated weighted least squares estimation of the extremal index",
      "topics": [
        "iwls"
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    {
      "page": "iwls_methods",
      "title": "Methods for objects of class '\"iwls\"'",
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      "title": "Maximum likelihood estimation for the K-gaps model",
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      "title": "Confidence intervals for the extremal index theta for '\"kgaps\"' objects",
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      "title": "Statistics for the information matrix test",
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        "logLik.kgaps",
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      "title": "Sufficient statistics for the K-gaps model",
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        "kgaps_stat"
      ]
    },
    {
      "page": "newlyn",
      "title": "Newlyn sea surges",
      "topics": [
        "newlyn"
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    {
      "page": "plot.choose_b",
      "title": "Plot block length diagnostic for the semiparametric maxima estimator",
      "topics": [
        "plot.choose_b"
      ]
    },
    {
      "page": "plot.choose_ud",
      "title": "Plot threshold u and runs parameter D diagnostic for the D-gaps estimator",
      "topics": [
        "plot.choose_ud"
      ]
    },
    {
      "page": "plot.choose_uk",
      "title": "Plot threshold u and runs parameter K diagnostic for the K-gaps estimator",
      "topics": [
        "plot.choose_uk"
      ]
    },
    {
      "page": "sp500",
      "title": "Daily log returns of the Standard and Poor (S&P) 500 index",
      "topics": [
        "sp500"
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    },
    {
      "page": "split_by_NAs",
      "title": "Divides data into parts that contain no missing values",
      "topics": [
        "split_by_NAs"
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    },
    {
      "page": "spm",
      "title": "Semiparametric maxima estimator of the extremal index",
      "topics": [
        "spm"
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    },
    {
      "page": "spm_confint",
      "title": "Confidence intervals for the extremal index theta for '\"spm\"' objects",
      "topics": [
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        "plot.confint_spm",
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        "spm_confint"
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      "title": "Methods for objects of class '\"spm\"'",
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        "nobs.spm",
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        "print.summary.spm",
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    {
      "page": "uccle720",
      "title": "20th century Uccle maximum daily temperatures in July - data frame",
      "topics": [
        "uccle720"
      ]
    },
    {
      "page": "uccle720m",
      "title": "20th century Uccle maximum daily temperatures in July - matrix",
      "topics": [
        "uccle720m"
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  "_readme": "https://github.com/paulnorthrop/exdex/raw/HEAD/README.md",
  "_rundeps": [
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    "numDeriv",
    "Rcpp",
    "RcppArmadillo",
    "RcppRoll"
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  "_sysdeps": [
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      "shlib": "libstdc++",
      "package": "libstdc++6",
      "source": "gcc",
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  "_vignettes": [
    {
      "source": "exdex-vignette.Rmd",
      "filename": "exdex-vignette.html",
      "title": "Introducing exdex: Estimation of the Extremal Index",
      "author": "Paul Northrop",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Semiparametric maxima estimators",
        "Newlyn sea surges",
        "S&P 500 index",
        "Block size selection",
        "Threshold-based estimators",
        "$K$-gaps",
        "Multiple time series and missing values",
        "$D$-gaps",
        "Iterated weighted least squares",
        "References"
      ],
      "created": "2019-07-27 15:51:08",
      "modified": "2022-04-16 09:29:51",
      "commits": 10
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