{
  "_id": "6a6183dff673e46fff56bd92",
  "Package": "distributions3",
  "Title": "Probability Distributions as S3 Objects",
  "Version": "0.2.4",
  "Authors@R": "c(\nperson(given = \"Alex\", family = \"Hayes\", email = \"alexpghayes@gmail.com\", role = \"aut\", comment = c(ORCID = \"0000-0002-4985-5160\")),\nperson(given = \"Ralph\", family = \"Moller-Trane\", role = \"aut\", comment = c(ORCID = \"0000-0001-7824-1785\")),\nperson(given = \"Daniel\", family = \"Jordan\", email = \"dandermotj@gmail.com\", role = \"aut\"),\nperson(given = \"Paul\", family = \"Northrop\", email = \"p.northrop@ucl.ac.uk\", role = \"aut\", comment = c(ORCID = \"0000-0002-1992-4882\")),\nperson(given = c(\"Moritz\", \"N.\"), family = \"Lang\", email = \"moritz.n.lang@gmail.com\", role = \"aut\", comment = c(ORCID = \"0000-0002-2533-9903\")),\nperson(given = \"Achim\", family = \"Zeileis\", email = \"Achim.Zeileis@R-project.org\", role = c(\"aut\", \"cre\"), comment = c(ORCID = \"0000-0003-0918-3766\")),\nperson(given = \"Emil\", family = \"Hvitfeldt\", email = \"emilhhvitfeldt@gmail.com\", role = \"ctb\", comment = c(ORCID = \"0000-0002-0679-1945\")),\nperson(given = \"Bruna\", family = \"Wundervald\", email = \"brunadaviesw@gmail.com\", role = \"ctb\", comment = c(ORCID = \"0000-0001-8163-220X\")),\nperson(given = \"Alessandro\", family = \"Gasparini\", email = \"alessandro.gasparini@ki.se\", role = \"ctb\", comment = c(ORCID = \"0000-0002-8319-7624\"))\n)",
  "Description": "Tools to create and manipulate probability distributions\nusing S3.  Generics pdf(), cdf(), quantile(), and random()\nprovide replacements for base R's d/p/q/r style functions.\nFunctions and arguments have been named carefully to minimize\nconfusion for students in intro stats courses. The\ndocumentation for each distribution contains detailed\nmathematical notes.",
  "License": "MIT + file LICENSE",
  "URL": "https://github.com/zeileis/distributions3,\nhttps://zeileis.github.io/distributions3/",
  "BugReports": "https://github.com/zeileis/distributions3/issues",
  "VignetteBuilder": "knitr",
  "Encoding": "UTF-8",
  "Config/testthat/edition": "3",
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  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-07-23 02:56:59 UTC",
    "User": "root"
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  "Author": "Alex Hayes [aut] (ORCID:\n<https://orcid.org/0000-0002-4985-5160>), Ralph Moller-Trane\n[aut] (ORCID: <https://orcid.org/0000-0001-7824-1785>), Daniel\nJordan [aut], Paul Northrop [aut] (ORCID:\n<https://orcid.org/0000-0002-1992-4882>), Moritz N. Lang [aut]\n(ORCID: <https://orcid.org/0000-0002-2533-9903>), Achim Zeileis\n[aut, cre] (ORCID: <https://orcid.org/0000-0003-0918-3766>),\nEmil Hvitfeldt [ctb] (ORCID:\n<https://orcid.org/0000-0002-0679-1945>), Bruna Wundervald\n[ctb] (ORCID: <https://orcid.org/0000-0001-8163-220X>),\nAlessandro Gasparini [ctb] (ORCID:\n<https://orcid.org/0000-0002-8319-7624>)",
  "Maintainer": "Achim Zeileis <Achim.Zeileis@R-project.org>",
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2026-07-22 06:46:00 UTC",
  "RemoteUrl": "https://github.com/cran/distributions3",
  "RemoteRef": "HEAD",
  "RemoteSha": "4a5f43632f91d6b15ad7ddf6947c89b0eff554a4",
  "_user": "cran",
  "_type": "src",
  "_file": "distributions3_0.2.4.tar.gz",
  "_fileid": "https://r2.ropensci.org/8b3e903cca52256f417b2b730fcb6bbd11b78aabf6eb5cfd4d3cb4237001431c",
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  "_sha256": "8b3e903cca52256f417b2b730fcb6bbd11b78aabf6eb5cfd4d3cb4237001431c",
  "_expires": "2026-10-31T03:00:43.000Z",
  "_created": "2026-07-23T02:56:59.000Z",
  "_published": "2026-07-23T03:00:47.412Z",
  "_jobs": [
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  "_host": "GitHub-Actions",
  "_buildurl": "https://github.com/r-universe/cran/actions/runs/29975538410",
  "_status": "success",
  "_upstream": "https://github.com/cran/distributions3",
  "_commit": {
    "id": "4a5f43632f91d6b15ad7ddf6947c89b0eff554a4",
    "author": "Achim Zeileis <Achim.Zeileis@R-project.org>",
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    "message": "version 0.2.4\n",
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    "name": "Achim Zeileis",
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    "login": "zeileis",
    "mastodon": "@zeileis@fosstodon.org",
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    "description": "Statistics, science, software.",
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      "name": "0.2.3",
      "date": "2025-09-12"
    },
    {
      "name": "0.2.4",
      "date": "2026-07-22"
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    "description": "Unofficial read-only mirror of all CRAN R packages"
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  "_downloads": {
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    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/distributions3"
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  "_devurl": "https://github.com/zeileis/distributions3",
  "_pkgdown": "https://zeileis.github.io/distributions3/",
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  "_rbuild": "4.6.1",
  "_assets": [
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    "extra/citation.html",
    "extra/citation.json",
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    "extra/contents.json",
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    "extra/NEWS.html",
    "extra/NEWS.txt",
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    "extra/readme.md",
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  "_homeurl": "https://github.com/zeileis/distributions3",
  "_realowner": "zeileis",
  "_cranurl": false,
  "_releases": [
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      "version": "0.1.1",
      "date": "2019-09-03"
    },
    {
      "version": "0.1.2",
      "date": "2022-01-03"
    },
    {
      "version": "0.2.0",
      "date": "2022-06-21"
    },
    {
      "version": "0.2.1",
      "date": "2022-09-07"
    },
    {
      "version": "0.2.2",
      "date": "2024-09-16"
    },
    {
      "version": "0.2.3",
      "date": "2025-09-12"
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      "version": "0.2.4",
      "date": "2026-07-22"
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  ],
  "_exports": [
    "apply_dpqr",
    "Bernoulli",
    "Beta",
    "Binomial",
    "Categorical",
    "Cauchy",
    "cdf",
    "ChiSquare",
    "dhnbinom",
    "dhpois",
    "dzinbinom",
    "dzipois",
    "dztnbinom",
    "dztpois",
    "Erlang",
    "Exponential",
    "FisherF",
    "fit_mle",
    "Frechet",
    "Gamma",
    "geom_auc",
    "GeomAuc",
    "Geometric",
    "GEV",
    "GP",
    "Gumbel",
    "HurdleNegativeBinomial",
    "HurdlePoisson",
    "HyperGeometric",
    "is_continuous",
    "is_discrete",
    "is_distribution",
    "kurtosis",
    "likelihood",
    "log_likelihood",
    "log_pdf",
    "Logistic",
    "LogNormal",
    "make_positive_integer",
    "make_support",
    "Multinomial",
    "NegativeBinomial",
    "Normal",
    "pdf",
    "phnbinom",
    "phpois",
    "plot_cdf",
    "plot_pdf",
    "pmf",
    "Poisson",
    "PoissonBinomial",
    "prodist",
    "pzinbinom",
    "pzipois",
    "pztnbinom",
    "pztpois",
    "qhnbinom",
    "qhpois",
    "qzinbinom",
    "qzipois",
    "qztnbinom",
    "qztpois",
    "random",
    "RevWeibull",
    "rhnbinom",
    "rhpois",
    "rzinbinom",
    "rzipois",
    "rztnbinom",
    "rztpois",
    "simulate.default",
    "skewness",
    "stat_auc",
    "StatAuc",
    "StudentsT",
    "suff_stat",
    "support",
    "Tukey",
    "Uniform",
    "variance",
    "Weibull",
    "ZINegativeBinomial",
    "ZIPoisson",
    "ZTNegativeBinomial",
    "ZTPoisson"
  ],
  "_datasets": [
    {
      "name": "FIFA2018",
      "title": "Goals scored in all 2018 FIFA World Cup matches",
      "object": "FIFA2018",
      "file": "FIFA2018.rda",
      "class": [
        "data.frame"
      ],
      "fields": [
        "goals",
        "team",
        "match",
        "type",
        "stage",
        "logability",
        "difference"
      ],
      "rows": 128,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "apply_dpqr",
      "title": "Utilities for 'distributions3' objects",
      "topics": [
        "apply_dpqr",
        "make_positive_integer",
        "make_support"
      ]
    },
    {
      "page": "Bernoulli",
      "title": "Create a Bernoulli distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "Bernoulli"
      ]
    },
    {
      "page": "Beta",
      "title": "Create a Beta distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Beta"
      ]
    },
    {
      "page": "Binomial",
      "title": "Create a Binomial distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "Binomial"
      ]
    },
    {
      "page": "Categorical",
      "title": "Create a Categorical distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "Categorical"
      ]
    },
    {
      "page": "Cauchy",
      "title": "Create a Cauchy distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Cauchy"
      ]
    },
    {
      "page": "cdf",
      "title": "Evaluate the cumulative distribution function of a probability distribution",
      "topics": [
        "cdf"
      ]
    },
    {
      "page": "cdf.Bernoulli",
      "title": "Evaluate the cumulative distribution function of a Bernoulli distribution",
      "topics": [
        "cdf.Bernoulli"
      ]
    },
    {
      "page": "cdf.Beta",
      "title": "Evaluate the cumulative distribution function of a Beta distribution",
      "topics": [
        "cdf.Beta"
      ]
    },
    {
      "page": "cdf.Binomial",
      "title": "Evaluate the cumulative distribution function of a Binomial distribution",
      "topics": [
        "cdf.Binomial"
      ]
    },
    {
      "page": "cdf.Categorical",
      "title": "Evaluate the cumulative distribution function of a Categorical distribution",
      "topics": [
        "cdf.Categorical"
      ]
    },
    {
      "page": "cdf.Cauchy",
      "title": "Evaluate the cumulative distribution function of a Cauchy distribution",
      "topics": [
        "cdf.Cauchy"
      ]
    },
    {
      "page": "cdf.ChiSquare",
      "title": "Evaluate the cumulative distribution function of a chi square distribution",
      "topics": [
        "cdf.ChiSquare"
      ]
    },
    {
      "page": "cdf.Erlang",
      "title": "Evaluate the cumulative distribution function of an Erlang distribution",
      "topics": [
        "cdf.Erlang"
      ]
    },
    {
      "page": "cdf.Exponential",
      "title": "Evaluate the cumulative distribution function of an Exponential distribution",
      "topics": [
        "cdf.Exponential"
      ]
    },
    {
      "page": "cdf.FisherF",
      "title": "Evaluate the cumulative distribution function of an F distribution",
      "topics": [
        "cdf.FisherF"
      ]
    },
    {
      "page": "cdf.Frechet",
      "title": "Evaluate the cumulative distribution function of a Frechet distribution",
      "topics": [
        "cdf.Frechet"
      ]
    },
    {
      "page": "cdf.Gamma",
      "title": "Evaluate the cumulative distribution function of a Gamma distribution",
      "topics": [
        "cdf.Gamma"
      ]
    },
    {
      "page": "cdf.Geometric",
      "title": "Evaluate the cumulative distribution function of a Geometric distribution",
      "concept": [
        "Geometric distribution"
      ],
      "topics": [
        "cdf.Geometric"
      ]
    },
    {
      "page": "cdf.GEV",
      "title": "Evaluate the cumulative distribution function of a GEV distribution",
      "topics": [
        "cdf.GEV"
      ]
    },
    {
      "page": "cdf.GP",
      "title": "Evaluate the cumulative distribution function of a GP distribution",
      "topics": [
        "cdf.GP"
      ]
    },
    {
      "page": "cdf.Gumbel",
      "title": "Evaluate the cumulative distribution function of a Gumbel distribution",
      "topics": [
        "cdf.Gumbel"
      ]
    },
    {
      "page": "cdf.HurdleNegativeBinomial",
      "title": "Evaluate the cumulative distribution function of a hurdle negative binomial distribution",
      "topics": [
        "cdf.HurdleNegativeBinomial"
      ]
    },
    {
      "page": "cdf.HurdlePoisson",
      "title": "Evaluate the cumulative distribution function of a hurdle Poisson distribution",
      "topics": [
        "cdf.HurdlePoisson"
      ]
    },
    {
      "page": "cdf.HyperGeometric",
      "title": "Evaluate the cumulative distribution function of a HyperGeometric distribution",
      "concept": [
        "HyperGeometric distribution"
      ],
      "topics": [
        "cdf.HyperGeometric"
      ]
    },
    {
      "page": "cdf.Logistic",
      "title": "Evaluate the cumulative distribution function of a Logistic distribution",
      "concept": [
        "Logistic distribution"
      ],
      "topics": [
        "cdf.Logistic"
      ]
    },
    {
      "page": "cdf.LogNormal",
      "title": "Evaluate the cumulative distribution function of a LogNormal distribution",
      "concept": [
        "LogNormal distribution"
      ],
      "topics": [
        "cdf.LogNormal"
      ]
    },
    {
      "page": "cdf.NegativeBinomial",
      "title": "Evaluate the cumulative distribution function of a negative binomial distribution",
      "concept": [
        "NegativeBinomial distribution"
      ],
      "topics": [
        "cdf.NegativeBinomial"
      ]
    },
    {
      "page": "cdf.Normal",
      "title": "Evaluate the cumulative distribution function of a Normal distribution",
      "concept": [
        "Normal distribution"
      ],
      "topics": [
        "cdf.Normal"
      ]
    },
    {
      "page": "cdf.Poisson",
      "title": "Evaluate the cumulative distribution function of a Poisson distribution",
      "topics": [
        "cdf.Poisson"
      ]
    },
    {
      "page": "cdf.PoissonBinomial",
      "title": "Evaluate the cumulative distribution function of a PoissonBinomial distribution",
      "topics": [
        "cdf.PoissonBinomial"
      ]
    },
    {
      "page": "cdf.RevWeibull",
      "title": "Evaluate the cumulative distribution function of an RevWeibull distribution",
      "topics": [
        "cdf.RevWeibull"
      ]
    },
    {
      "page": "cdf.StudentsT",
      "title": "Evaluate the cumulative distribution function of a StudentsT distribution",
      "concept": [
        "StudentsT distribution"
      ],
      "topics": [
        "cdf.StudentsT"
      ]
    },
    {
      "page": "cdf.Tukey",
      "title": "Evaluate the cumulative distribution function of a Tukey distribution",
      "concept": [
        "Tukey distribution"
      ],
      "topics": [
        "cdf.Tukey"
      ]
    },
    {
      "page": "cdf.Uniform",
      "title": "Evaluate the cumulative distribution function of a continuous Uniform distribution",
      "topics": [
        "cdf.Uniform"
      ]
    },
    {
      "page": "cdf.Weibull",
      "title": "Evaluate the cumulative distribution function of a Weibull distribution",
      "concept": [
        "Weibull distribution"
      ],
      "topics": [
        "cdf.Weibull"
      ]
    },
    {
      "page": "cdf.ZINegativeBinomial",
      "title": "Evaluate the cumulative distribution function of a zero-inflated negative binomial distribution",
      "topics": [
        "cdf.ZINegativeBinomial"
      ]
    },
    {
      "page": "cdf.ZIPoisson",
      "title": "Evaluate the cumulative distribution function of a zero-inflated Poisson distribution",
      "topics": [
        "cdf.ZIPoisson"
      ]
    },
    {
      "page": "cdf.ZTNegativeBinomial",
      "title": "Evaluate the cumulative distribution function of a zero-truncated negative binomial distribution",
      "topics": [
        "cdf.ZTNegativeBinomial"
      ]
    },
    {
      "page": "cdf.ZTPoisson",
      "title": "Evaluate the cumulative distribution function of a zero-truncated Poisson distribution",
      "topics": [
        "cdf.ZTPoisson"
      ]
    },
    {
      "page": "ChiSquare",
      "title": "Create a Chi-Square distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "ChiSquare"
      ]
    },
    {
      "page": "hnbinom",
      "title": "The hurdle negative binomial distribution",
      "topics": [
        "dhnbinom",
        "phnbinom",
        "qhnbinom",
        "rhnbinom"
      ]
    },
    {
      "page": "hpois",
      "title": "The hurdle Poisson distribution",
      "topics": [
        "dhpois",
        "phpois",
        "qhpois",
        "rhpois"
      ]
    },
    {
      "page": "zinbinom",
      "title": "The zero-inflated negative binomial distribution",
      "topics": [
        "dzinbinom",
        "pzinbinom",
        "qzinbinom",
        "rzinbinom"
      ]
    },
    {
      "page": "zipois",
      "title": "The zero-inflated Poisson distribution",
      "topics": [
        "dzipois",
        "pzipois",
        "qzipois",
        "rzipois"
      ]
    },
    {
      "page": "ztnbinom",
      "title": "The zero-truncated negative binomial distribution",
      "topics": [
        "dztnbinom",
        "pztnbinom",
        "qztnbinom",
        "rztnbinom"
      ]
    },
    {
      "page": "ztpois",
      "title": "The zero-truncated Poisson distribution",
      "topics": [
        "dztpois",
        "pztpois",
        "qztpois",
        "rztpois"
      ]
    },
    {
      "page": "Erlang",
      "title": "Create an Erlang distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Erlang"
      ]
    },
    {
      "page": "Exponential",
      "title": "Create an Exponential distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Exponential"
      ]
    },
    {
      "page": "FIFA2018",
      "title": "Goals scored in all 2018 FIFA World Cup matches",
      "topics": [
        "FIFA2018"
      ]
    },
    {
      "page": "FisherF",
      "title": "Create an F distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "FisherF"
      ]
    },
    {
      "page": "fit_mle",
      "title": "Fit a distribution to data",
      "topics": [
        "fit_mle"
      ]
    },
    {
      "page": "fit_mle.Bernoulli",
      "title": "Fit a Bernoulli distribution to data",
      "topics": [
        "fit_mle.Bernoulli"
      ]
    },
    {
      "page": "fit_mle.Binomial",
      "title": "Fit a Binomial distribution to data",
      "topics": [
        "fit_mle.Binomial"
      ]
    },
    {
      "page": "fit_mle.Exponential",
      "title": "Fit an Exponential distribution to data",
      "concept": [
        "Exponential distribution"
      ],
      "topics": [
        "fit_mle.Exponential"
      ]
    },
    {
      "page": "fit_mle.Gamma",
      "title": "Fit a Gamma distribution to data",
      "topics": [
        "fit_mle.Gamma"
      ]
    },
    {
      "page": "fit_mle.Geometric",
      "title": "Fit a Geometric distribution to data",
      "topics": [
        "fit_mle.Geometric"
      ]
    },
    {
      "page": "fit_mle.LogNormal",
      "title": "Fit a Log Normal distribution to data",
      "concept": [
        "LogNormal distribution"
      ],
      "topics": [
        "fit_mle.LogNormal"
      ]
    },
    {
      "page": "fit_mle.Normal",
      "title": "Fit a Normal distribution to data",
      "concept": [
        "Normal distribution"
      ],
      "topics": [
        "fit_mle.Normal"
      ]
    },
    {
      "page": "fit_mle.Poisson",
      "title": "Fit an Poisson distribution to data",
      "concept": [
        "Poisson distribution"
      ],
      "topics": [
        "fit_mle.Poisson"
      ]
    },
    {
      "page": "Frechet",
      "title": "Create a Frechet distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Frechet"
      ]
    },
    {
      "page": "Gamma",
      "title": "Create a Gamma distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Gamma"
      ]
    },
    {
      "page": "Geometric",
      "title": "Create a Geometric distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "Geometric"
      ]
    },
    {
      "page": "GEV",
      "title": "Create a Generalised Extreme Value (GEV) distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "GEV"
      ]
    },
    {
      "page": "GP",
      "title": "Create a Generalised Pareto (GP) distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "GP"
      ]
    },
    {
      "page": "Gumbel",
      "title": "Create a Gumbel distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Gumbel"
      ]
    },
    {
      "page": "HurdleNegativeBinomial",
      "title": "Create a hurdle negative binomial distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "HurdleNegativeBinomial"
      ]
    },
    {
      "page": "HurdlePoisson",
      "title": "Create a hurdle Poisson distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "HurdlePoisson"
      ]
    },
    {
      "page": "HyperGeometric",
      "title": "Create a HyperGeometric distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "HyperGeometric"
      ]
    },
    {
      "page": "is_discrete",
      "title": "Determine whether a distribution is discrete or continuous",
      "topics": [
        "is_continuous",
        "is_discrete"
      ]
    },
    {
      "page": "is_distribution",
      "title": "Is an object a distribution?",
      "topics": [
        "is_distribution"
      ]
    },
    {
      "page": "log_likelihood",
      "title": "Compute the (log-)likelihood of a probability distribution given data",
      "topics": [
        "likelihood",
        "log_likelihood"
      ]
    },
    {
      "page": "Logistic",
      "title": "Create a Logistic distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Logistic"
      ]
    },
    {
      "page": "LogNormal",
      "title": "Create a LogNormal distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "LogNormal"
      ]
    },
    {
      "page": "Multinomial",
      "title": "Create a Multinomial distribution",
      "concept": [
        "discrete distributions",
        "multivariate distributions"
      ],
      "topics": [
        "Multinomial"
      ]
    },
    {
      "page": "NegativeBinomial",
      "title": "Create a negative binomial distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "NegativeBinomial"
      ]
    },
    {
      "page": "Normal",
      "title": "Create a Normal distribution",
      "concept": [
        "continuous distributions"
      ],
      "topics": [
        "Normal"
      ]
    },
    {
      "page": "pdf",
      "title": "Evaluate the probability density of a probability distribution",
      "topics": [
        "log_pdf",
        "pdf",
        "pmf"
      ]
    },
    {
      "page": "pdf.Bernoulli",
      "title": "Evaluate the probability mass function of a Bernoulli distribution",
      "topics": [
        "log_pdf.Bernoulli",
        "pdf.Bernoulli"
      ]
    },
    {
      "page": "pdf.Beta",
      "title": "Evaluate the probability mass function of a Beta distribution",
      "topics": [
        "log_pdf.Beta",
        "pdf.Beta"
      ]
    },
    {
      "page": "pdf.Binomial",
      "title": "Evaluate the probability mass function of a Binomial distribution",
      "topics": [
        "log_pdf.Binomial",
        "pdf.Binomial"
      ]
    },
    {
      "page": "pdf.Categorical",
      "title": "Evaluate the probability mass function of a Categorical discrete distribution",
      "topics": [
        "log_pdf.Categorical",
        "pdf.Categorical"
      ]
    },
    {
      "page": "pdf.Cauchy",
      "title": "Evaluate the probability mass function of a Cauchy distribution",
      "topics": [
        "log_pdf.Cauchy",
        "pdf.Cauchy"
      ]
    },
    {
      "page": "pdf.ChiSquare",
      "title": "Evaluate the probability mass function of a chi square distribution",
      "topics": [
        "log_pdf.ChiSquare",
        "pdf.ChiSquare"
      ]
    },
    {
      "page": "pdf.Erlang",
      "title": "Evaluate the probability mass function of an Erlang distribution",
      "topics": [
        "log_pdf.Erlang",
        "pdf.Erlang"
      ]
    },
    {
      "page": "pdf.Exponential",
      "title": "Evaluate the probability density function of an Exponential distribution",
      "topics": [
        "log_pdf.Exponential",
        "pdf.Exponential"
      ]
    },
    {
      "page": "pdf.FisherF",
      "title": "Evaluate the probability mass function of an F distribution",
      "topics": [
        "log_pdf.FisherF",
        "pdf.FisherF"
      ]
    },
    {
      "page": "pdf.Frechet",
      "title": "Evaluate the probability mass function of a Frechet distribution",
      "topics": [
        "log_pdf.Frechet",
        "pdf.Frechet"
      ]
    },
    {
      "page": "pdf.Gamma",
      "title": "Evaluate the probability mass function of a Gamma distribution",
      "topics": [
        "log_pdf.Gamma",
        "pdf.Gamma"
      ]
    },
    {
      "page": "pdf.Geometric",
      "title": "Evaluate the probability mass function of a Geometric distribution",
      "concept": [
        "Geometric distribution"
      ],
      "topics": [
        "log_pdf.Geometric",
        "pdf.Geometric"
      ]
    },
    {
      "page": "pdf.GEV",
      "title": "Evaluate the probability mass function of a GEV distribution",
      "topics": [
        "log_pdf.GEV",
        "pdf.GEV"
      ]
    },
    {
      "page": "pdf.GP",
      "title": "Evaluate the probability mass function of a GP distribution",
      "topics": [
        "log_pdf.GP",
        "pdf.GP"
      ]
    },
    {
      "page": "pdf.Gumbel",
      "title": "Evaluate the probability mass function of a Gumbel distribution",
      "topics": [
        "log_pdf.Gumbel",
        "pdf.Gumbel"
      ]
    },
    {
      "page": "pdf.HurdleNegativeBinomial",
      "title": "Evaluate the probability mass function of a hurdle negative binomial distribution",
      "topics": [
        "log_pdf.HurdleNegativeBinomial",
        "pdf.HurdleNegativeBinomial"
      ]
    },
    {
      "page": "pdf.HurdlePoisson",
      "title": "Evaluate the probability mass function of a hurdle Poisson distribution",
      "topics": [
        "log_pdf.HurdlePoisson",
        "pdf.HurdlePoisson"
      ]
    },
    {
      "page": "pdf.HyperGeometric",
      "title": "Evaluate the probability mass function of a HyperGeometric distribution",
      "concept": [
        "HyperGeometric distribution"
      ],
      "topics": [
        "log_pdf.HyperGeometric",
        "pdf.HyperGeometric"
      ]
    },
    {
      "page": "pdf.Logistic",
      "title": "Evaluate the probability mass function of a Logistic distribution",
      "concept": [
        "Logistic distribution"
      ],
      "topics": [
        "log_pdf.Logistic",
        "pdf.Logistic"
      ]
    },
    {
      "page": "pdf.LogNormal",
      "title": "Evaluate the probability mass function of a LogNormal distribution",
      "concept": [
        "LogNormal distribution"
      ],
      "topics": [
        "log_pdf.LogNormal",
        "pdf.LogNormal"
      ]
    },
    {
      "page": "pdf.Multinomial",
      "title": "Evaluate the probability mass function of a Multinomial distribution",
      "concept": [
        "Multinomial distribution"
      ],
      "topics": [
        "log_pdf.Multinomial",
        "pdf.Multinomial"
      ]
    },
    {
      "page": "pdf.NegativeBinomial",
      "title": "Evaluate the probability mass function of a NegativeBinomial distribution",
      "concept": [
        "NegativeBinomial distribution"
      ],
      "topics": [
        "log_pdf.NegativeBinomial",
        "pdf.NegativeBinomial"
      ]
    },
    {
      "page": "pdf.Normal",
      "title": "Evaluate the probability mass function of a Normal distribution",
      "concept": [
        "Normal distribution"
      ],
      "topics": [
        "log_pdf.Normal",
        "pdf.Normal"
      ]
    },
    {
      "page": "pdf.Poisson",
      "title": "Evaluate the probability mass function of a Poisson distribution",
      "topics": [
        "log_pdf.Poisson",
        "pdf.Poisson"
      ]
    },
    {
      "page": "pdf.PoissonBinomial",
      "title": "Evaluate the probability mass function of a PoissonBinomial distribution",
      "topics": [
        "log_pdf.PoissonBinomial",
        "pdf.PoissonBinomial"
      ]
    },
    {
      "page": "pdf.RevWeibull",
      "title": "Evaluate the probability mass function of an RevWeibull distribution",
      "topics": [
        "log_pdf.RevWeibull",
        "pdf.RevWeibull"
      ]
    },
    {
      "page": "pdf.StudentsT",
      "title": "Evaluate the probability mass function of a StudentsT distribution",
      "concept": [
        "StudentsT distribution"
      ],
      "topics": [
        "log_pdf.StudentsT",
        "pdf.StudentsT"
      ]
    },
    {
      "page": "pdf.Uniform",
      "title": "Evaluate the probability mass function of a continuous Uniform distribution",
      "topics": [
        "log_pdf.Uniform",
        "pdf.Uniform"
      ]
    },
    {
      "page": "pdf.Weibull",
      "title": "Evaluate the probability mass function of a Weibull distribution",
      "concept": [
        "Weibull distribution"
      ],
      "topics": [
        "log_pdf.Weibull",
        "pdf.Weibull"
      ]
    },
    {
      "page": "pdf.ZINegativeBinomial",
      "title": "Evaluate the probability mass function of a zero-inflated negative binomial distribution",
      "topics": [
        "log_pdf.ZINegativeBinomial",
        "pdf.ZINegativeBinomial"
      ]
    },
    {
      "page": "pdf.ZIPoisson",
      "title": "Evaluate the probability mass function of a zero-inflated Poisson distribution",
      "topics": [
        "log_pdf.ZIPoisson",
        "pdf.ZIPoisson"
      ]
    },
    {
      "page": "pdf.ZTNegativeBinomial",
      "title": "Evaluate the probability mass function of a zero-truncated negative binomial distribution",
      "topics": [
        "log_pdf.ZTNegativeBinomial",
        "pdf.ZTNegativeBinomial"
      ]
    },
    {
      "page": "pdf.ZTPoisson",
      "title": "Evaluate the probability mass function of a zero-truncated Poisson distribution",
      "topics": [
        "log_pdf.ZTPoisson",
        "pdf.ZTPoisson"
      ]
    },
    {
      "page": "plot_cdf",
      "title": "Plot the CDF of a distribution",
      "topics": [
        "plot_cdf"
      ]
    },
    {
      "page": "plot_pdf",
      "title": "Plot the PDF of a distribution",
      "topics": [
        "plot_pdf"
      ]
    },
    {
      "page": "plot.distribution",
      "title": "Plot the p.m.f, p.d.f or c.d.f. of a univariate distribution",
      "topics": [
        "plot.distribution"
      ]
    },
    {
      "page": "Poisson",
      "title": "Create a Poisson distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "Poisson"
      ]
    },
    {
      "page": "PoissonBinomial",
      "title": "Create a Poisson binomial distribution",
      "concept": [
        "discrete distributions"
      ],
      "topics": [
        "PoissonBinomial"
      ]
    },
    {
      "page": "prodist",
      "title": "Extracting fitted or predicted probability distributions from models",
      "topics": [
        "prodist",
        "prodist.Arima",
        "prodist.distribution",
        "prodist.glm",
        "prodist.hurdle",
        "prodist.lm",
        "prodist.negbin",
        "prodist.zeroinfl",
        "prodist.zerotrunc"
      ]
    },
    {
      "page": "quantile.Bernoulli",
      "title": "Determine quantiles of a Bernoulli distribution",
      "topics": [
        "quantile.Bernoulli"
      ]
    },
    {
      "page": "quantile.Beta",
      "title": "Determine quantiles of a Beta distribution",
      "topics": [
        "quantile.Beta"
      ]
    },
    {
      "page": "quantile.Binomial",
      "title": "Determine quantiles of a Binomial distribution",
      "topics": [
        "quantile.Binomial"
      ]
    },
    {
      "page": "quantile.Categorical",
      "title": "Determine quantiles of a Categorical discrete distribution",
      "topics": [
        "quantile.Categorical"
      ]
    },
    {
      "page": "quantile.Cauchy",
      "title": "Determine quantiles of a Cauchy distribution",
      "topics": [
        "quantile.Cauchy"
      ]
    },
    {
      "page": "quantile.ChiSquare",
      "title": "Determine quantiles of a chi square distribution",
      "topics": [
        "quantile.ChiSquare"
      ]
    },
    {
      "page": "quantile.Erlang",
      "title": "Determine quantiles of an Erlang distribution",
      "topics": [
        "quantile.Erlang"
      ]
    },
    {
      "page": "quantile.Exponential",
      "title": "Determine quantiles of an Exponential distribution",
      "topics": [
        "quantile.Exponential"
      ]
    },
    {
      "page": "quantile.FisherF",
      "title": "Determine quantiles of an F distribution",
      "topics": [
        "quantile.FisherF"
      ]
    },
    {
      "page": "quantile.Frechet",
      "title": "Determine quantiles of a Frechet distribution",
      "topics": [
        "quantile.Frechet"
      ]
    },
    {
      "page": "quantile.Gamma",
      "title": "Determine quantiles of a Gamma distribution",
      "topics": [
        "quantile.Gamma"
      ]
    },
    {
      "page": "quantile.Geometric",
      "title": "Determine quantiles of a Geometric distribution",
      "concept": [
        "Geometric distribution"
      ],
      "topics": [
        "quantile.Geometric"
      ]
    },
    {
      "page": "quantile.GEV",
      "title": "Determine quantiles of a GEV distribution",
      "topics": [
        "quantile.GEV"
      ]
    },
    {
      "page": "quantile.GP",
      "title": "Determine quantiles of a GP distribution",
      "topics": [
        "quantile.GP"
      ]
    },
    {
      "page": "quantile.Gumbel",
      "title": "Determine quantiles of a Gumbel distribution",
      "topics": [
        "quantile.Gumbel"
      ]
    },
    {
      "page": "quantile.HurdleNegativeBinomial",
      "title": "Determine quantiles of a hurdle negative binomial distribution",
      "topics": [
        "quantile.HurdleNegativeBinomial"
      ]
    },
    {
      "page": "quantile.HurdlePoisson",
      "title": "Determine quantiles of a hurdle Poisson distribution",
      "topics": [
        "quantile.HurdlePoisson"
      ]
    },
    {
      "page": "quantile.HyperGeometric",
      "title": "Determine quantiles of a HyperGeometric distribution",
      "concept": [
        "HyperGeometric distribution"
      ],
      "topics": [
        "quantile.HyperGeometric"
      ]
    },
    {
      "page": "quantile.Logistic",
      "title": "Determine quantiles of a Logistic distribution",
      "concept": [
        "Logistic distribution"
      ],
      "topics": [
        "quantile.Logistic"
      ]
    },
    {
      "page": "quantile.LogNormal",
      "title": "Determine quantiles of a LogNormal distribution",
      "concept": [
        "LogNormal distribution"
      ],
      "topics": [
        "quantile.LogNormal"
      ]
    },
    {
      "page": "quantile.NegativeBinomial",
      "title": "Determine quantiles of a NegativeBinomial distribution",
      "concept": [
        "NegativeBinomial distribution"
      ],
      "topics": [
        "quantile.NegativeBinomial"
      ]
    },
    {
      "page": "quantile.Normal",
      "title": "Determine quantiles of a Normal distribution",
      "concept": [
        "Normal distribution"
      ],
      "topics": [
        "quantile.Normal"
      ]
    },
    {
      "page": "quantile.Poisson",
      "title": "Determine quantiles of a Poisson distribution",
      "topics": [
        "quantile.Poisson"
      ]
    },
    {
      "page": "quantile.PoissonBinomial",
      "title": "Determine quantiles of a PoissonBinomial distribution",
      "topics": [
        "quantile.PoissonBinomial"
      ]
    },
    {
      "page": "quantile.RevWeibull",
      "title": "Determine quantiles of a RevWeibull distribution",
      "topics": [
        "quantile.RevWeibull"
      ]
    },
    {
      "page": "quantile.StudentsT",
      "title": "Determine quantiles of a StudentsT distribution",
      "concept": [
        "StudentsT distribution"
      ],
      "topics": [
        "quantile.StudentsT"
      ]
    },
    {
      "page": "quantile.Tukey",
      "title": "Determine quantiles of a Tukey distribution",
      "concept": [
        "Tukey distribution"
      ],
      "topics": [
        "quantile.Tukey"
      ]
    },
    {
      "page": "quantile.Uniform",
      "title": "Determine quantiles of a continuous Uniform distribution",
      "topics": [
        "quantile.Uniform"
      ]
    },
    {
      "page": "quantile.Weibull",
      "title": "Determine quantiles of a Weibull distribution",
      "concept": [
        "Weibull distribution"
      ],
      "topics": [
        "quantile.Weibull"
      ]
    },
    {
      "page": "quantile.ZINegativeBinomial",
      "title": "Determine quantiles of a zero-inflated negative binomial distribution",
      "topics": [
        "quantile.ZINegativeBinomial"
      ]
    },
    {
      "page": "quantile.ZIPoisson",
      "title": "Determine quantiles of a zero-inflated Poisson distribution",
      "topics": [
        "quantile.ZIPoisson"
      ]
    },
    {
      "page": "quantile.ZTNegativeBinomial",
      "title": "Determine quantiles of a zero-truncated negative binomial distribution",
      "topics": [
        "quantile.ZTNegativeBinomial"
      ]
    },
    {
      "page": "quantile.ZTPoisson",
      "title": "Determine quantiles of a zero-truncated Poisson distribution",
      "topics": [
        "quantile.ZTPoisson"
      ]
    },
    {
      "page": "random",
      "title": "Draw a random sample from a probability distribution",
      "topics": [
        "random",
        "simulate.distribution"
      ]
    },
    {
      "page": "random.Bernoulli",
      "title": "Draw a random sample from a Bernoulli distribution",
      "topics": [
        "random.Bernoulli"
      ]
    },
    {
      "page": "random.Beta",
      "title": "Draw a random sample from a Beta distribution",
      "topics": [
        "random.Beta"
      ]
    },
    {
      "page": "random.Binomial",
      "title": "Draw a random sample from a Binomial distribution",
      "topics": [
        "random.Binomial"
      ]
    },
    {
      "page": "random.Categorical",
      "title": "Draw a random sample from a Categorical distribution",
      "topics": [
        "random.Categorical"
      ]
    },
    {
      "page": "random.Cauchy",
      "title": "Draw a random sample from a Cauchy distribution",
      "topics": [
        "random.Cauchy"
      ]
    },
    {
      "page": "random.ChiSquare",
      "title": "Draw a random sample from a chi square distribution",
      "topics": [
        "random.ChiSquare"
      ]
    },
    {
      "page": "random.Erlang",
      "title": "Draw a random sample from an Erlang distribution",
      "topics": [
        "random.Erlang"
      ]
    },
    {
      "page": "random.Exponential",
      "title": "Draw a random sample from an Exponential distribution",
      "topics": [
        "random.Exponential"
      ]
    },
    {
      "page": "random.FisherF",
      "title": "Draw a random sample from an F distribution",
      "topics": [
        "random.FisherF"
      ]
    },
    {
      "page": "random.Frechet",
      "title": "Draw a random sample from a Frechet distribution",
      "topics": [
        "random.Frechet"
      ]
    },
    {
      "page": "random.Gamma",
      "title": "Draw a random sample from a Gamma distribution",
      "topics": [
        "random.Gamma"
      ]
    },
    {
      "page": "random.Geometric",
      "title": "Draw a random sample from a Geometric distribution",
      "concept": [
        "Geometric distribution"
      ],
      "topics": [
        "random.Geometric"
      ]
    },
    {
      "page": "random.GEV",
      "title": "Draw a random sample from a GEV distribution",
      "topics": [
        "random.GEV"
      ]
    },
    {
      "page": "random.GP",
      "title": "Draw a random sample from a GP distribution",
      "topics": [
        "random.GP"
      ]
    },
    {
      "page": "random.Gumbel",
      "title": "Draw a random sample from a Gumbel distribution",
      "topics": [
        "random.Gumbel"
      ]
    },
    {
      "page": "random.HurdleNegativeBinomial",
      "title": "Draw a random sample from a hurdle negative binomial distribution",
      "topics": [
        "random.HurdleNegativeBinomial"
      ]
    },
    {
      "page": "random.HurdlePoisson",
      "title": "Draw a random sample from a hurdle Poisson distribution",
      "topics": [
        "random.HurdlePoisson"
      ]
    },
    {
      "page": "random.HyperGeometric",
      "title": "Draw a random sample from a HyperGeometric distribution",
      "concept": [
        "HyperGeometric distribution"
      ],
      "topics": [
        "random.HyperGeometric"
      ]
    },
    {
      "page": "random.Logistic",
      "title": "Draw a random sample from a Logistic distribution",
      "concept": [
        "Logistic distribution"
      ],
      "topics": [
        "random.Logistic"
      ]
    },
    {
      "page": "random.LogNormal",
      "title": "Draw a random sample from a LogNormal distribution",
      "concept": [
        "LogNormal distribution"
      ],
      "topics": [
        "random.LogNormal"
      ]
    },
    {
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