{
  "_id": "6a101dfeacfb0bcc41c8a7f5",
  "Package": "distributions3",
  "Title": "Probability Distributions as S3 Objects",
  "Version": "0.2.3.9000",
  "Authors@R": "c(\nperson(\"Alex\", \"Hayes\", , \"alexpghayes@gmail.com\", role = c(\"aut\", \"cre\"),\ncomment = c(ORCID = \"0000-0002-4985-5160\")),\nperson(\"Ralph\", \"Moller-Trane\", role = \"aut\"),\nperson(\"Emil\", \"Hvitfeldt\", , \"emilhhvitfeldt@gmail.com\", role = \"ctb\",\ncomment = c(ORCID = \"0000-0002-0679-1945\")),\nperson(\"Daniel\", \"Jordan\", , \"dandermotj@gmail.com\", role = \"aut\"),\nperson(\"Paul\", \"Northrop\", , \"p.northrop@ucl.ac.uk\", role = \"aut\"),\nperson(\"Moritz N.\", \"Lang\", , \"moritz.n.lang@gmail.com\", role = \"aut\",\ncomment = c(ORCID = \"0000-0002-2533-9903\")),\nperson(\"Achim\", \"Zeileis\", , \"Achim.Zeileis@R-project.org\", role = \"aut\",\ncomment = c(ORCID = \"0000-0003-0918-3766\")),\nperson(\"Bruna\", \"Wundervald\", , \"brunadaviesw@gmail.com\", role = \"ctb\"),\nperson(\"Alessandro\", \"Gasparini\", , \"alessandro.gasparini@ki.se\", role = \"ctb\")\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/alexpghayes/distributions3,\nhttps://alexpghayes.github.io/distributions3/",
  "BugReports": "https://github.com/alexpghayes/distributions3/issues",
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  "Config/testthat/edition": "3",
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  "Repository": "https://zeileis.r-universe.dev",
  "Date/Publication": "2025-10-16 16:56:46 UTC",
  "RemoteUrl": "https://github.com/zeileis/distributions3",
  "RemoteRef": "HEAD",
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  "NeedsCompilation": "no",
  "Packaged": {
    "Date": "2026-05-14 07:40:43 UTC",
    "User": "root"
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  "Author": "Alex Hayes [aut, cre] (ORCID: <https://orcid.org/0000-0002-4985-5160>),\nRalph Moller-Trane [aut],\nEmil Hvitfeldt [ctb] (ORCID: <https://orcid.org/0000-0002-0679-1945>),\nDaniel Jordan [aut],\nPaul Northrop [aut],\nMoritz N. Lang [aut] (ORCID: <https://orcid.org/0000-0002-2533-9903>),\nAchim Zeileis [aut] (ORCID: <https://orcid.org/0000-0003-0918-3766>),\nBruna Wundervald [ctb],\nAlessandro Gasparini [ctb]",
  "Maintainer": "Alex Hayes <alexpghayes@gmail.com>",
  "MD5sum": "df77623bdddef561e8de0daa5b9ca97a",
  "_user": "zeileis",
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  "_file": "distributions3_0.2.3.9000.tar.gz",
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  "_created": "2026-05-14T07:40:43.000Z",
  "_published": "2026-05-22T09:12:30.818Z",
  "_distro": "noble",
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    "name": "Achim Zeileis",
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    "source": "https://cranlogs.r-pkg.org/downloads/total/last-month/distributions3"
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  "_devurl": "https://github.com/alexpghayes/distributions3",
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  "_rbuild": "4.6.0",
  "_assets": [
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    "extra/citation.html",
    "extra/citation.json",
    "extra/citation.txt",
    "extra/contents.json",
    "extra/distributions3.html",
    "extra/NEWS.html",
    "extra/NEWS.txt",
    "extra/readme.html",
    "extra/readme.md",
    "manual.pdf"
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  "_homeurl": "https://github.com/zeileis/distributions3",
  "_realowner": "zeileis",
  "_cranurl": true,
  "_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"
    },
    {
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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"
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