{
  "_id": "6a1ef761b401979e73417750",
  "Package": "GB2",
  "Type": "Package",
  "Version": "2.1.2",
  "Date": "2025-08-17",
  "Title": "Generalized Beta Distribution of the Second Kind: Properties,\nLikelihood, Estimation",
  "Authors@R": "c(person(given = \"Monique\",\nfamily = \"Graf\",\nrole = \"aut\",\nemail = \"monique.p.n.graf@bluewin.ch\"),\nperson(given = \"Desislava\",\nfamily = \"Nedyalkova.\",\nrole = \"aut\",\nemail = \"desislava.nedyalkova@gmail.com\"),\nperson(given = \"Desislava\",\nfamily = \"Nedyalkova\",\nrole = \"cre\",\nemail = \"desislava.nedyalkova@gmail.com\"))",
  "License": "GPL (>= 2)",
  "Description": "The GB2 package explores the Generalized Beta distribution\nof the second kind. Density, cumulative distribution function,\nquantiles and moments of the distribution are given. Functions\nfor the full log-likelihood, the profile log-likelihood and the\nscores are provided. Formulas for various indicators of\ninequality and poverty under the GB2 are implemented. The GB2\nis fitted by the methods of maximum pseudo-likelihood\nestimation using the full and profile log-likelihood, and\nnon-linear least squares estimation of the model parameters.\nVarious plots for the visualization and analysis of the results\nare provided. Variance estimation of the parameters is provided\nfor the method of maximum pseudo-likelihood estimation. A\nmixture distribution based on the compounding property of the\nGB2 is presented (denoted as \"compound\" in the documentation).\nThis mixture distribution is based on the discretization of the\ndistribution of the underlying random scale parameter. The\ndiscretization can be left or right tail. Density, cumulative\ndistribution function, moments and quantiles for the mixture\ndistribution are provided. The compound mixture distribution is\nfitted using the method of maximum pseudo-likelihood\nestimation. The fit can also incorporate the use of auxiliary\ninformation. In this new version of the package, the mixture\ncase is complemented with new functions for variance estimation\nby linearization and comparative density plots.",
  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-05-19 06:21:03 UTC",
    "User": "root"
  },
  "Author": "Monique Graf [aut], Desislava Nedyalkova. [aut], Desislava\nNedyalkova [cre]",
  "Maintainer": "Desislava Nedyalkova <desislava.nedyalkova@gmail.com>",
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2025-08-20 14:30:08 UTC",
  "RemoteUrl": "https://github.com/cran/GB2",
  "RemoteRef": "HEAD",
  "RemoteSha": "6c6ffaf5a0fb02890680ccc647c99e928b47b80d",
  "MD5sum": "f2c510d18b08d391edcb4d3ebc807364",
  "_user": "cran",
  "_type": "src",
  "_file": "GB2_2.1.2.tar.gz",
  "_fileid": "839075ccd1f3a196a4a718356c64a997bcccfca3fc2d36c5c968dc3437c9104c",
  "_filesize": 390167,
  "_sha256": "839075ccd1f3a196a4a718356c64a997bcccfca3fc2d36c5c968dc3437c9104c",
  "_created": "2026-05-19T06:21:03.000Z",
  "_published": "2026-06-02T15:31:45.911Z",
  "_distro": "noble",
  "_jobs": [
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      "job": 79108688507,
      "time": 127,
      "config": "linux-devel-x86_64",
      "r": "4.7.0",
      "check": "OK",
      "artifact": "7076282083"
    },
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      "time": 120,
      "config": "linux-release-x86_64",
      "r": "4.6.0",
      "check": "OK",
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      "time": 171,
      "config": "source",
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      "config": "wasm-release",
      "r": "4.6.0",
      "check": "OK",
      "artifact": "7362324675"
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  "_buildurl": "https://github.com/r-universe/cran/actions/runs/26079960952",
  "_status": "success",
  "_host": "GitHub-Actions",
  "_upstream": "https://github.com/cran/GB2",
  "_commit": {
    "id": "6c6ffaf5a0fb02890680ccc647c99e928b47b80d",
    "author": "Desislava Nedyalkova <desislava.nedyalkova@gmail.com>",
    "committer": "cran-robot <csardi.gabor+cran@gmail.com>",
    "message": "version 2.1.2\n",
    "time": 1755700208
  },
  "_maintainer": {
    "name": "Desislava Nedyalkova",
    "email": "desislava.nedyalkova@gmail.com"
  },
  "_registered": true,
  "_dependencies": [
    {
      "package": "R",
      "version": ">= 4.0.0",
      "role": "Depends"
    },
    {
      "package": "cubature",
      "role": "Imports"
    },
    {
      "package": "hypergeo",
      "role": "Imports"
    },
    {
      "package": "laeken",
      "role": "Imports"
    },
    {
      "package": "numDeriv",
      "role": "Imports"
    },
    {
      "package": "stats",
      "role": "Imports"
    },
    {
      "package": "survey",
      "role": "Imports"
    },
    {
      "package": "simFrame",
      "role": "Suggests"
    }
  ],
  "_owner": "cran",
  "_selfowned": false,
  "_usedby": 3,
  "_updates": [
    {
      "week": "2025-34",
      "n": 1
    }
  ],
  "_tags": [
    {
      "name": "2.1.2",
      "date": "2025-08-20"
    }
  ],
  "_stars": 1,
  "_userbio": {
    "uuid": 6899542,
    "type": "organization",
    "name": "cran",
    "description": "Unofficial read-only mirror of all CRAN R packages"
  },
  "_downloads": {
    "count": 3373,
    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/GB2"
  },
  "_mentions": 3,
  "_searchresults": 86,
  "_rbuild": "4.6.0",
  "_assets": [
    "extra/citation.cff",
    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/GB2.html",
    "extra/NEWS.html",
    "extra/NEWS.txt",
    "manual.pdf"
  ],
  "_realowner": "cran",
  "_cranurl": false,
  "_releases": [
    {
      "version": "1.0",
      "date": "2011-01-06"
    },
    {
      "version": "1.1",
      "date": "2012-08-31"
    },
    {
      "version": "1.2",
      "date": "2014-06-25"
    },
    {
      "version": "2.1",
      "date": "2015-05-11"
    },
    {
      "version": "2.1.1",
      "date": "2022-06-22"
    },
    {
      "version": "2.1.2",
      "date": "2025-08-20"
    }
  ],
  "_exports": [
    "arpr.cgb2",
    "arpr.gb2",
    "arpt.cgb2",
    "arpt.gb2",
    "contindic.gb2",
    "contprof.gb2",
    "d2logf.gb2",
    "dcgb2",
    "derivind.cgb2",
    "derivind.gb2",
    "desvar.cavgb2",
    "desvar.cgb2",
    "dgb2",
    "dl.cgb2",
    "dlogf.gb2",
    "dplot.cavgb2",
    "dplot.cgb2",
    "el.gb2",
    "fg.cgb2",
    "fisk",
    "fiskh",
    "gb2.gini",
    "gini.b2",
    "gini.dag",
    "gini.gb2",
    "gini.sm",
    "hess.cavgb2",
    "hess.cgb2",
    "incompl.cgb2",
    "incompl.gb2",
    "info.gb2",
    "kl.gb2",
    "lambda0.cavgb2",
    "logf.gb2",
    "logl.cavgb2",
    "logl.cgb2",
    "loglh.gb2",
    "loglp.gb2",
    "main.cgb2",
    "main.emp",
    "main.gb2",
    "main2.gb2",
    "mkl.cgb2",
    "ml.cavgb2",
    "ml.cgb2",
    "ml.gb2",
    "mlfit.gb2",
    "mlh.gb2",
    "moment.cgb2",
    "moment.gb2",
    "nlsfit.gb2",
    "pcgb2",
    "pgb2",
    "pkl.cavgb2",
    "pl.cgb2",
    "plotsML.gb2",
    "pofv.cgb2",
    "prcgb2",
    "prof.gb2",
    "proflogl.gb2",
    "profml.gb2",
    "profscores.gb2",
    "qcgb2",
    "qgb2",
    "qsr.cgb2",
    "qsr.gb2",
    "rcgb2",
    "rgb2",
    "rmpg.cgb2",
    "rmpg.gb2",
    "robwts",
    "saveplot",
    "scores.cavgb2",
    "scores.cgb2",
    "scoresh.gb2",
    "scoresp.gb2",
    "scoreU.cavgb2",
    "scoreU.cgb2",
    "scorez.cavgb2",
    "sl.gb2",
    "Thomae",
    "varscore.cavgb2",
    "varscore.cgb2",
    "varscore.gb2",
    "veind.cavgb2",
    "veind.cgb2",
    "veind.gb2",
    "vepar.cavgb2",
    "vepar.cgb2",
    "vepar.gb2",
    "vl.gb2",
    "vofp.cgb2"
  ],
  "_help": [
    {
      "page": "Compound",
      "title": "Compound Distribution based on the Generalized Beta Distribution of the Second Kind",
      "topics": [
        "Compound",
        "dcgb2",
        "dl.cgb2",
        "fg.cgb2",
        "pcgb2",
        "pl.cgb2",
        "prcgb2"
      ]
    },
    {
      "page": "CompoundAuxDensPlot",
      "title": "Comparison of the compound GB2 and kernel densities by group",
      "topics": [
        "CompoundAuxDensPlot",
        "dplot.cavgb2"
      ]
    },
    {
      "page": "CompoundAuxFit",
      "title": "Fitting the Compound Distribution based on the GB2 by the Method of Pseudo Maximum Likelihood Estimation using Auxiliary Information",
      "topics": [
        "CompoundAuxFit",
        "lambda0.cavgb2",
        "logl.cavgb2",
        "ml.cavgb2",
        "pkl.cavgb2",
        "scores.cavgb2"
      ]
    },
    {
      "page": "CompoundAuxVarest",
      "title": "Variance Estimation under the Compound GB2 Distribution Using Auxiliary Information",
      "topics": [
        "CompoundAuxVarest",
        "desvar.cavgb2",
        "hess.cavgb2",
        "scoreU.cavgb2",
        "scorez.cavgb2",
        "varscore.cavgb2",
        "veind.cavgb2",
        "vepar.cavgb2"
      ]
    },
    {
      "page": "CompoundDensPlot",
      "title": "Comparison of the GB2, compound GB2 and kernel densities",
      "topics": [
        "CompoundDensPlot",
        "dplot.cgb2"
      ]
    },
    {
      "page": "CompoundFit",
      "title": "Fitting the Compound Distribution based on the GB2 by the Method of Maximum Likelihood Estimation",
      "topics": [
        "CompoundFit",
        "logl.cgb2",
        "ml.cgb2",
        "pofv.cgb2",
        "scores.cgb2",
        "vofp.cgb2"
      ]
    },
    {
      "page": "CompoundIndicators",
      "title": "Indicators of Poverty and Social Exclusion under the Compound Distribution based on the GB2",
      "topics": [
        "arpr.cgb2",
        "arpt.cgb2",
        "CompoundIndicators",
        "main.cgb2",
        "qsr.cgb2",
        "rmpg.cgb2"
      ]
    },
    {
      "page": "CompoundMoments",
      "title": "Moments of the Compound Distribution based on the GB2",
      "topics": [
        "incompl.cgb2",
        "mkl.cgb2",
        "moment.cgb2"
      ]
    },
    {
      "page": "CompoundQuantiles",
      "title": "Quantiles and random generation of the Compound Distribution based on the GB2",
      "topics": [
        "CompoundQuantiles",
        "qcgb2",
        "rcgb2"
      ]
    },
    {
      "page": "CompoundVarest",
      "title": "Variance Estimation of the Compound GB2 Distribution",
      "topics": [
        "CompoundVarest",
        "derivind.cgb2",
        "desvar.cgb2",
        "hess.cgb2",
        "scoreU.cgb2",
        "varscore.cgb2",
        "veind.cgb2",
        "vepar.cgb2"
      ]
    },
    {
      "page": "Contindic",
      "title": "Sensitivity Analysis of Laeken Indicators on GB2 Parameters",
      "topics": [
        "Contindic",
        "contindic.gb2"
      ]
    },
    {
      "page": "Contprof",
      "title": "Contour Plot of the Profile Log-likelihood of the GB2 Distribution",
      "topics": [
        "Contprof",
        "contprof.gb2"
      ]
    },
    {
      "page": "Fisk",
      "title": "Parameters of the Fisk Distribution",
      "topics": [
        "Fisk",
        "fisk",
        "fiskh"
      ]
    },
    {
      "page": "gb2",
      "title": "The Generalized Beta Distribution of the Second Kind",
      "topics": [
        "dgb2",
        "gb2",
        "pgb2",
        "qgb2",
        "rgb2"
      ]
    },
    {
      "page": "Gini",
      "title": "Computation of the Gini Coefficient for the GB2 Distribution and its Particular Cases.",
      "topics": [
        "Gini",
        "gini.b2",
        "gini.dag",
        "gini.gb2",
        "gini.sm"
      ]
    },
    {
      "page": "Indicators",
      "title": "Monetary Laeken Indicators under the GB2",
      "topics": [
        "arpr.gb2",
        "arpt.gb2",
        "Indicators",
        "main.gb2",
        "main2.gb2",
        "qsr.gb2",
        "rmpg.gb2"
      ]
    },
    {
      "page": "LogDensity",
      "title": "Log Density of the GB2 Distribution",
      "topics": [
        "d2logf.gb2",
        "dlogf.gb2",
        "LogDensity",
        "logf.gb2"
      ]
    },
    {
      "page": "LogLikelihood",
      "title": "Full Log-likelihood of the GB2 Distribution",
      "topics": [
        "info.gb2",
        "loglh.gb2",
        "LogLikelihood",
        "loglp.gb2",
        "scoresh.gb2",
        "scoresp.gb2"
      ]
    },
    {
      "page": "MLfitGB2",
      "title": "Fitting the GB2 by the Method of Maximum Likelihood Estimation and Comparison of the Fitted Indicators with the Empirical Indicators",
      "topics": [
        "main.emp",
        "mlfit.gb2",
        "MLfitGB2"
      ]
    },
    {
      "page": "MLfullGB2",
      "title": "Maximum Likelihood Estimation of the GB2 Based on the Full Log-likelihood",
      "topics": [
        "ml.gb2",
        "MLfullGB2",
        "mlh.gb2"
      ]
    },
    {
      "page": "MLprofGB2",
      "title": "Maximum Likelihood Estimation of the GB2 Based on the Profile Log-likelihood",
      "topics": [
        "MLprofGB2",
        "profml.gb2"
      ]
    },
    {
      "page": "Moments",
      "title": "Moments and Other Properties of a GB2 Random Variable",
      "topics": [
        "el.gb2",
        "incompl.gb2",
        "kl.gb2",
        "moment.gb2",
        "Moments",
        "sl.gb2",
        "vl.gb2"
      ]
    },
    {
      "page": "NonlinearFit",
      "title": "Fitting the GB2 by Minimizing the Distance Between a Set of Empirical Indicators and Their GB2 Expressions",
      "topics": [
        "nlsfit.gb2",
        "NonlinearFit"
      ]
    },
    {
      "page": "PlotsML",
      "title": "Cumulative Distribution Plot and Kernel Density Plot for the Fitted GB2",
      "topics": [
        "PlotsML",
        "plotsML.gb2",
        "saveplot"
      ]
    },
    {
      "page": "ProfLogLikelihood",
      "title": "Profile Log-likelihood of the GB2 Distribution",
      "topics": [
        "prof.gb2",
        "proflogl.gb2",
        "ProfLogLikelihood",
        "profscores.gb2"
      ]
    },
    {
      "page": "RobustWeights",
      "title": "Robustification of the sampling weights",
      "topics": [
        "RobustWeights",
        "robwts"
      ]
    },
    {
      "page": "Thomae",
      "title": "Maximum Excess Representation of a Generalized Hypergeometric Function Using Thomae's Theorem",
      "topics": [
        "combiopt",
        "gb2.gini",
        "Thomae",
        "ULg"
      ]
    },
    {
      "page": "Varest",
      "title": "Variance Estimation of the Parameters of the GB2 Distribution",
      "topics": [
        "derivind.gb2",
        "Varest",
        "varscore.gb2",
        "veind.gb2",
        "vepar.gb2"
      ]
    }
  ],
  "_rundeps": [
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    "contfrac",
    "cubature",
    "DBI",
    "deSolve",
    "elliptic",
    "hypergeo",
    "laeken",
    "lattice",
    "MASS",
    "Matrix",
    "minqa",
    "mitools",
    "numDeriv",
    "Rcpp",
    "RcppArmadillo",
    "survey",
    "survival"
  ],
  "_score": 3.8938785565917566,
  "_indexed": true,
  "_nocasepkg": "gb2",
  "_universes": [
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  ],
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