{
  "_id": "6ab3a5983d719c1f84092388",
  "Encoding": "UTF-8",
  "Package": "asymmetry.measures",
  "Type": "Package",
  "Title": "Asymmetry Measures for Probability Density Functions",
  "Version": "0.3",
  "URL": "",
  "Date": "2026-07-21",
  "Authors@R": "c(person(\"Dimitrios\", \"Bagkavos\", role = c(\"aut\", \"cre\"), email = \"dimitrios.bagkavos@gmail.com\"), person(\"Lucia\",\"Gamez\", role = c(\"aut\") ,email = \"gamezgallardolucia@gmail.com\" ))",
  "Maintainer": "Dimitrios Bagkavos <dimitrios.bagkavos@gmail.com>",
  "Description": "Provides functions and examples for the weak and strong\ndensity asymmetry measures in the articles: \"A measure of\nasymmetry\", Patil, Patil and Bagkavos (2012)\n<doi:10.1007/s00362-011-0401-6> and \"A measure of asymmetry\nbased on a new necessary and sufficient condition for\nsymmetry\", Patil, Bagkavos and Wood (2014)\n<doi:10.1007/s13171-013-0034-z>. The measures provided here are\nuseful for quantifying the asymmetry of the shape of a density\nof a random variable. The package facilitates implementation of\nthe measures which are applicable in a variety of fields\nincluding e.g. probability theory, statistics and economics.",
  "License": "GPL (>= 2)",
  "NeedsCompilation": "no",
  "RoxygenNote": "6.1.0",
  "LazyData": "true",
  "Packaged": {
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    "User": "root"
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  "Author": "Dimitrios Bagkavos [aut, cre], Lucia Gamez [aut]",
  "Repository": "https://cran.r-universe.dev",
  "Date/Publication": "2026-07-21 21:00:02 UTC",
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  "_created": "2026-09-23T10:07:57.000Z",
  "_published": "2026-09-23T10:10:29.714Z",
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    "description": "Unofficial read-only mirror of all CRAN R packages"
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  "_assets": [
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    "extra/citation.cff",
    "extra/citation.html",
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    "extra/citation.txt",
    "extra/contents.json",
    "extra/manual.pdf"
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      "date": "2020-06-22"
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      "date": "2020-07-22"
    },
    {
      "version": "0.3",
      "date": "2026-07-21"
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    "d.sample",
    "edf",
    "Epanechnikov",
    "eta.s",
    "eta.s.exact",
    "eta.w.breve",
    "eta.w.breve.bc",
    "eta.w.hat",
    "eta.w.hat.bc",
    "eta.w.tilde",
    "eta.w.tilde.bc",
    "IntEpanechnikov",
    "IntKde",
    "kde",
    "p.sample",
    "pdfsq",
    "pdfsqcdf",
    "pdfsqcdfstar",
    "pdfthird",
    "q.sample",
    "r.sample",
    "Rho.p",
    "Rho.p.exact",
    "Rhostar.p",
    "Rhostar.p.exact",
    "SimpsonInt"
  ],
  "_datasets": [
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      "name": "GDP.Per.head.dist.1995",
      "title": "annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countries",
      "object": "GDP.Per.head.dist.1995",
      "class": [
        "numeric"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    },
    {
      "name": "GDP.Per.head.dist.2005",
      "title": "annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countries",
      "object": "GDP.Per.head.dist.2005",
      "class": [
        "numeric"
      ],
      "fields": [],
      "table": false,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "d.sample",
      "title": "Switch between a range of probability density functions.",
      "topics": [
        "d.sample"
      ]
    },
    {
      "page": "edf",
      "title": "Empirical cummulative distribution function",
      "topics": [
        "edf"
      ]
    },
    {
      "page": "Epanechnikov",
      "title": "Epanechnikov kernel",
      "topics": [
        "Epanechnikov"
      ]
    },
    {
      "page": "eta.s",
      "title": "Strong asymmetry measure eta(X).",
      "topics": [
        "eta.s"
      ]
    },
    {
      "page": "eta.s.exact",
      "title": "Strong asymmetry measure eta(X).",
      "topics": [
        "eta.s.exact"
      ]
    },
    {
      "page": "eta.w.breve",
      "title": "Asymmetry coefficient \\breve{eta}",
      "topics": [
        "eta.w.breve"
      ]
    },
    {
      "page": "eta.w.breve.bc",
      "title": "Asymmetry coefficient \\breve{eta} using boundary correction",
      "topics": [
        "eta.w.breve.bc"
      ]
    },
    {
      "page": "eta.w.hat",
      "title": "Asymmetry coefficient \\hat{eta}",
      "topics": [
        "eta.w.hat"
      ]
    },
    {
      "page": "eta.w.hat.bc",
      "title": "Asymmetry coefficient \\hat{eta} using boundary correction",
      "topics": [
        "eta.w.hat.bc"
      ]
    },
    {
      "page": "eta.w.tilde",
      "title": "Asymmetry coefficient \\tilde{eta}",
      "topics": [
        "eta.w.tilde"
      ]
    },
    {
      "page": "eta.w.tilde.bc",
      "title": "Asymmetry coefficient \\tilde{eta} using boundary correction",
      "topics": [
        "eta.w.tilde.bc"
      ]
    },
    {
      "page": "GDP.Per.head.dist.1995",
      "title": "annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countries",
      "topics": [
        "GDP.Per.head.dist.1995"
      ]
    },
    {
      "page": "GDP.Per.head.dist.2005",
      "title": "annual Gross Domestic Product (GDP) per head across 15 European Union (EU) countries",
      "topics": [
        "GDP.Per.head.dist.2005"
      ]
    },
    {
      "page": "IntEpanechnikov",
      "title": "Integrated Epanechnikov function",
      "topics": [
        "IntEpanechnikov"
      ]
    },
    {
      "page": "IntKde",
      "title": "Integrated Kernel density estimator",
      "topics": [
        "IntKde"
      ]
    },
    {
      "page": "kde",
      "title": "Kernel density estimator.",
      "topics": [
        "kde"
      ]
    },
    {
      "page": "p.sample",
      "title": "Switch between a range of available cumulative distribution functions.",
      "topics": [
        "p.sample"
      ]
    },
    {
      "page": "pdfsq",
      "title": "Calculate f^2(x)",
      "topics": [
        "pdfsq"
      ]
    },
    {
      "page": "pdfsqcdf",
      "title": "Calculate f^2(x)F(x)",
      "topics": [
        "pdfsqcdf"
      ]
    },
    {
      "page": "pdfsqcdfstar",
      "title": "Calculate f^2(x)(1-F(x)).",
      "topics": [
        "pdfsqcdfstar"
      ]
    },
    {
      "page": "pdfthird",
      "title": "Calculate f^3(x)",
      "topics": [
        "pdfthird"
      ]
    },
    {
      "page": "q.sample",
      "title": "Switch between a range of available quantile functions.",
      "topics": [
        "q.sample"
      ]
    },
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      "title": "Switch between a range of available random number generators.",
      "topics": [
        "r.sample"
      ]
    },
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      "title": "Calculates rho_p, used in the implementation of the strong asymmetry measure eta(X).",
      "topics": [
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      ]
    },
    {
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      "title": "Calculates the exact value rho_p, used in the implementation of the strong asymmetry measure eta(X).",
      "topics": [
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      ]
    },
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      "page": "Rhostar.p",
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      "topics": [
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      ]
    },
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      "title": "Calculates the exact value of rho_p^*, used in the implementation of the strong asymmetry measure eta(X).",
      "topics": [
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      ]
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    }
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