{
  "_id": "6a1ed94eb401979e7340f305",
  "Package": "GLDEX",
  "Version": "2.0.0.9.4",
  "Date": "2025-07-23",
  "Title": "Fitting Single and Mixture of Generalised Lambda Distributions",
  "Authors@R": "c(person(\"Steve\", \"Su\", role = c(\"aut\", \"cre\",\"cph\"),\nemail = \"allegro.su@gmail.com\", comment=c(ORCID = \"0000-0002-3368-4926\")),\nperson(\"Martin\", \"Maechler\", role = \"aut\"),\nperson(\"Juha\", \"Karvanen\", role = \"aut\"),\nperson(\"Robert\", \"King\", role = \"aut\"),\nperson(\"Benjamin\", \"Dean\", role = \"ctb\"),\nperson(\"R\", \"Core Team\", role = \"aut\"))",
  "Maintainer": "Steve Su <allegro.su@gmail.com>",
  "Description": "The fitting algorithms considered in this package have two\nmajor objectives. One is to provide a smoothing device to fit\ndistributions to data using the weight and unweighted\ndiscretised approach based on the bin width of the histogram.\nThe other is to provide a definitive fit to the data set using\nthe maximum likelihood and quantile matching estimation. Other\nmethods such as moment matching, starship method, L moment\nmatching are also provided. Diagnostics on goodness of fit can\nbe done via qqplots, KS-resample tests and comparing mean,\nvariance, skewness and kurtosis of the data with the fitted\ndistribution. References include the following: Karvanen and\nNuutinen (2008) \"Characterizing the generalized lambda\ndistribution by L-moments\" <doi:10.1016/j.csda.2007.06.021>,\nKing and MacGillivray (1999) \"A starship method for fitting the\ngeneralised lambda distributions\"\n<doi:10.1111/1467-842X.00089>, Su (2005) \"A Discretized\nApproach to Flexibly Fit Generalized Lambda Distributions to\nData\" <doi:10.22237/jmasm/1130803560>, Su (2007) \"Nmerical\nMaximum Log Likelihood Estimation for Generalized Lambda\nDistributions\" <doi:10.1016/j.csda.2006.06.008>, Su (2007)\n\"Fitting Single and Mixture of Generalized Lambda Distributions\nto Data via Discretized and Maximum Likelihood Methods: GLDEX\nin R\" <doi:10.18637/jss.v021.i09>, Su (2009) \"Confidence\nIntervals for Quantiles Using Generalized Lambda Distributions\"\n<doi:10.1016/j.csda.2009.02.014>, Su (2010) \"Chapter 14:\nFitting GLDs and Mixture of GLDs to Data using Quantile\nMatching Method\" <doi:10.1201/b10159>, Su (2010) \"Chapter 15:\nFitting GLD to data using GLDEX 1.0.4 in R\"\n<doi:10.1201/b10159>, Su (2015) \"Flexible Parametric Quantile\nRegression Model\" <doi:10.1007/s11222-014-9457-1>, Su (2021)\n\"Flexible parametric accelerated failure time\nmodel\"<doi:10.1080/10543406.2021.1934854>.",
  "License": "GPL (>= 3)",
  "NeedsCompilation": "yes",
  "Packaged": {
    "Date": "2026-05-20 09:31:02 UTC",
    "User": "root"
  },
  "Author": "Steve Su [aut, cre, cph] (ORCID:\n<https://orcid.org/0000-0002-3368-4926>), Martin Maechler\n[aut], Juha Karvanen [aut], Robert King [aut], Benjamin Dean\n[ctb], R Core Team [aut]",
  "Repository": "https://allegropiano.r-universe.dev",
  "Date/Publication": "2025-07-23 08:30:10 UTC",
  "RemoteUrl": "https://github.com/cran/GLDEX",
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  "_created": "2026-05-20T09:31:02.000Z",
  "_published": "2026-06-02T13:23:26.649Z",
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  "_buildurl": "https://github.com/r-universe/allegropiano/actions/runs/26153814766",
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    "author": "Steve Su <allegro.su@gmail.com>",
    "committer": "cran-robot <csardi.gabor+cran@gmail.com>",
    "message": "version 2.0.0.9.4\n",
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  "_exports": [
    "C_check_gld",
    "C_dgl",
    "C_mult_check_gld",
    "C_optim_fun3",
    "C_optim_fun3_v",
    "C_pgl",
    "C_q_fmkl_gld_minmax_check",
    "C_q_rs_gld_minmax_check",
    "dgl",
    "digitsBase",
    "fun.auto.bimodal.ml",
    "fun.auto.bimodal.pml",
    "fun.auto.bimodal.qs",
    "fun.auto.mm.fmkl",
    "fun.auto.perc.rs",
    "fun.beta",
    "fun.beta1",
    "fun.bimodal.fit.ml",
    "fun.bimodal.fit.pml",
    "fun.bimodal.init",
    "fun.check.gld",
    "fun.check.gld.multi",
    "fun.class.regime.bi",
    "fun.comp.moments.ml",
    "fun.comp.moments.ml.2",
    "fun.data.fit.hs",
    "fun.data.fit.hs.nw",
    "fun.data.fit.lm",
    "fun.data.fit.ml",
    "fun.data.fit.mm",
    "fun.data.fit.qs",
    "fun.diag.ks.g",
    "fun.diag.ks.g.bimodal",
    "fun.diag1",
    "fun.diag2",
    "fun.disc.estimation",
    "fun.fit.gl.v.lm",
    "fun.fit.gl.v.lma",
    "fun.fit.gl.v2a",
    "fun.fit.gl.v2a.nw",
    "fun.fit.gl.v2b",
    "fun.fit.gl.v2b.nw",
    "fun.fit.gl.v3",
    "fun.fit.gl.v3a",
    "fun.fit.gl.v3m",
    "fun.fit.gl.v4",
    "fun.fit.gl.v4a",
    "fun.fit.gl.v6",
    "fun.fit.gl.v6a",
    "fun.fmkl",
    "fun.fmkl.L30",
    "fun.fmkl.L40",
    "fun.fmkl.mm.min",
    "fun.fmkl.mm.sol",
    "fun.fmkl.mm.sol.alt",
    "fun.fmkl.nr",
    "fun.fmkl0",
    "fun.fmkla",
    "fun.fmklb",
    "fun.gen.qrn",
    "fun.lambda.percentile",
    "fun.Lm.gt.2.fmkl",
    "fun.Lm.gt.2.rs",
    "fun.lm.theo.gld",
    "fun.mApply",
    "fun.minmax.check.gld",
    "fun.moments",
    "fun.moments.bimodal",
    "fun.moments.r",
    "fun.nclass.e",
    "fun.percentile",
    "fun.plot.fit",
    "fun.plot.fit.bm",
    "fun.plot.many.gld",
    "fun.rawmoments",
    "fun.RMFMKL.hs",
    "fun.RMFMKL.hs.nw",
    "fun.RMFMKL.lm",
    "fun.RMFMKL.ml",
    "fun.RMFMKL.ml.m",
    "fun.RMFMKL.mm",
    "fun.RMFMKL.qs",
    "fun.RPRS.hs",
    "fun.RPRS.hs.nw",
    "fun.RPRS.lm",
    "fun.RPRS.ml",
    "fun.RPRS.ml.m",
    "fun.RPRS.mm",
    "fun.RPRS.qs",
    "fun.rs.nr",
    "fun.rs.perc.gradient",
    "fun.rs.perc.min",
    "fun.rs.perc.sol",
    "fun.rs.perc.sol.alt",
    "fun.rsb",
    "fun.simu.bimodal",
    "fun.theo.bi.mv.gld",
    "fun.theo.mv.gld",
    "fun.which.zero",
    "fun.zero.omit",
    "gl.check.lambda.alt",
    "gl.check.lambda.alt1",
    "histsu",
    "is.inf",
    "is.notinf",
    "ks.gof",
    "kurtosis",
    "Lcoefs",
    "Lmomcov",
    "Lmomcov_calc",
    "Lmoments",
    "Lmoments_calc",
    "optim.fun.bi.final",
    "optim.fun.lm",
    "optim.fun.qs",
    "optim.fun2",
    "optim.fun2.nw",
    "optim.fun3",
    "optim.fun3.C",
    "optim.fun3.C.m",
    "optim.fun4",
    "optim.fun5",
    "optim.fun6",
    "optim.fun7",
    "pgl",
    "pretty.su",
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    "qgl",
    "qqplot.gld",
    "qqplot.gld.bi",
    "QUnif",
    "rgl",
    "sHalton",
    "skewness",
    "starship",
    "starship.adaptivegrid",
    "starship.obj",
    "t1lmoments",
    "which.na"
  ],
  "_help": [
    {
      "page": "GLDEX.package",
      "title": "This package fits RS and FMKL generalised lambda distributions using various methods. It also provides functions for fitting bimodal distributions using mixtures of generalised lambda distributions.",
      "topics": [
        "GLDEX-package",
        "GLDEX"
      ]
    },
    {
      "page": "digitsBase",
      "title": "Digit/Bit Representation of Integers in any Base",
      "topics": [
        "digitsBase"
      ]
    },
    {
      "page": "fun.auto.bimodal.ml",
      "title": "Fitting mixture of generalied lambda distribtions to data using maximum likelihood estimation via the EM algorithm",
      "topics": [
        "fun.auto.bimodal.ml"
      ]
    },
    {
      "page": "fun.auto.bimodal.pml",
      "title": "Fitting mixture of generalied lambda distribtions to data using parition maximum likelihood estimation",
      "topics": [
        "fun.auto.bimodal.pml"
      ]
    },
    {
      "page": "fun.auto.bimodal.qs",
      "title": "Fitting mixtures of generalied lambda distribtions to data using quantile matching method",
      "topics": [
        "fun.auto.bimodal.qs"
      ]
    },
    {
      "page": "fun.bimodal.fit.ml",
      "title": "Finds the final fits using the maximum likelihood estimation for the bimodal dataset.",
      "topics": [
        "fun.bimodal.fit.ml"
      ]
    },
    {
      "page": "fun.bimodal.fit.pml",
      "title": "Finds the final fits using partition maximum likelihood estimation for the bimodal dataset.",
      "topics": [
        "fun.bimodal.fit.pml"
      ]
    },
    {
      "page": "fun.bimodal.init",
      "title": "Finds the initial values for optimisation in fitting the bimodal generalised lambda distribution.",
      "topics": [
        "fun.bimodal.init"
      ]
    },
    {
      "page": "fun.check.gld",
      "title": "Check whether the RS or FMKL/FKML GLD is a valid GLD for single values of L1, L2, L3 and L4",
      "topics": [
        "fun.check.gld"
      ]
    },
    {
      "page": "fun.check.gld.multi",
      "title": "Check whether the RS or FMKL/FKML GLD is a valid GLD for vectors of L1, L2, L3 and L4",
      "topics": [
        "fun.check.gld.multi"
      ]
    },
    {
      "page": "fun.class.regime.bi",
      "title": "Classifies data into two groups using a clustering regime.",
      "topics": [
        "fun.class.regime.bi"
      ]
    },
    {
      "page": "fun.comp.moments.ml",
      "title": "Compare the moments of the data and the fitted univariate generalised lambda distribution.",
      "topics": [
        "fun.comp.moments.ml"
      ]
    },
    {
      "page": "fun.comp.moments.ml.2",
      "title": "Compare the moments of the data and the fitted univariate generalised lambda distribution. Specialised funtion designed for RMFMKL.ML and STAR methods.",
      "topics": [
        "fun.comp.moments.ml.2"
      ]
    },
    {
      "page": "fun.data.fit.hs",
      "title": "Fit RS and FMKL generalised distributions to data using discretised approach with weights.",
      "topics": [
        "fun.data.fit.hs"
      ]
    },
    {
      "page": "fun.data.fit.hs.nw",
      "title": "Fit RS and FMKL generalised distributions to data using discretised approach without weights.",
      "topics": [
        "fun.data.fit.hs.nw"
      ]
    },
    {
      "page": "fun.data.fit.lm",
      "title": "Fit data using L moment matching estimation for RS and FMKL GLD",
      "topics": [
        "fun.data.fit.lm"
      ]
    },
    {
      "page": "fun.data.fit.ml",
      "title": "Fit data using RS, FMKL maximum likelihood estimation and the FMKL starship method.",
      "topics": [
        "fun.data.fit.ml"
      ]
    },
    {
      "page": "fun.data.fit.mm",
      "title": "Fit data using moment matching estimation for RS and FMKL GLD",
      "topics": [
        "fun.data.fit.mm"
      ]
    },
    {
      "page": "fun.data.fit.qs",
      "title": "Fit data using quantile matching estimation for RS and FMKL GLD",
      "topics": [
        "fun.data.fit.qs"
      ]
    },
    {
      "page": "fun.diag.ks.g",
      "title": "Compute the simulated Kolmogorov-Smirnov tests for the unimodal dataset",
      "topics": [
        "fun.diag.ks.g"
      ]
    },
    {
      "page": "fun.diag.ks.g.bimodal",
      "title": "Compute the simulated Kolmogorov-Smirnov tests for the bimodal dataset",
      "topics": [
        "fun.diag.ks.g.bimodal"
      ]
    },
    {
      "page": "fun.diag1",
      "title": "Diagnostic function for theoretical distribution fits through the resample Kolmogorov-Smirnoff tests",
      "topics": [
        "fun.diag1"
      ]
    },
    {
      "page": "fun.diag2",
      "title": "Diagnostic function for empirical data distribution fits through the resample Kolmogorov-Smirnoff tests",
      "topics": [
        "fun.diag2"
      ]
    },
    {
      "page": "fun.disc.estimation",
      "title": "Estimates the mean and variance after cutting up a vector of variable into evenly spaced categories.",
      "topics": [
        "fun.disc.estimation"
      ]
    },
    {
      "page": "fun.gen.qrn",
      "title": "Finds the low discrepancy quasi random numbers",
      "topics": [
        "fun.gen.qrn"
      ]
    },
    {
      "page": "fun.lm.theo.gld",
      "title": "Find the theoretical first four L moments of the generalised lambda distribution.",
      "topics": [
        "fun.lm.theo.gld"
      ]
    },
    {
      "page": "fun.mApply",
      "title": "Applying functions based on an index for a matrix.",
      "topics": [
        "fun.mApply"
      ]
    },
    {
      "page": "fun.minmax.check.gld",
      "title": "Check whether the specified GLDs cover the minimum and the maximum values in a dataset",
      "topics": [
        "fun.minmax.check.gld"
      ]
    },
    {
      "page": "fun.moments.bimodal",
      "title": "Finds the moments of fitted mixture of generalised lambda distribution by simulation.",
      "topics": [
        "fun.moments.bimodal"
      ]
    },
    {
      "page": "fun.moments.r",
      "title": "Calculate mean, variance, skewness and kurtosis of a numerical vector",
      "topics": [
        "fun.moments.r"
      ]
    },
    {
      "page": "fun.nclass.e",
      "title": "Estimates the number of classes or bins to smooth over in the discretised method of fitting generalised lambda distribution to data.",
      "topics": [
        "fun.nclass.e"
      ]
    },
    {
      "page": "fun.plot.fit",
      "title": "Plotting the univariate generalised lambda distribution fits on the data set.",
      "topics": [
        "fun.plot.fit"
      ]
    },
    {
      "page": "fun.plot.fit.bm",
      "title": "Plotting mixture of two generalised lambda distributions on the data set.",
      "topics": [
        "fun.plot.fit.bm"
      ]
    },
    {
      "page": "fun.plot.many.gld",
      "title": "Plotting many univariate generalised lambda distributions on one page.",
      "topics": [
        "fun.plot.many.gld"
      ]
    },
    {
      "page": "fun.rawmoments",
      "title": "Computes the raw moments of the generalised lambda distribution up to 4th order.",
      "topics": [
        "fun.rawmoments"
      ]
    },
    {
      "page": "fun.RMFMKL.hs",
      "title": "Fit FMKL generalised distribution to data using discretised approach with weights.",
      "topics": [
        "fun.RMFMKL.hs"
      ]
    },
    {
      "page": "fun.RMFMKL.hs.nw",
      "title": "Fit FMKL generalised distribution to data using discretised approach without weights.",
      "topics": [
        "fun.RMFMKL.hs.nw"
      ]
    },
    {
      "page": "fun.RMFMKL.lm",
      "title": "Fit FMKL generalised lambda distribution to data set using L moment matching",
      "topics": [
        "fun.RMFMKL.lm"
      ]
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