{
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  "Package": "wishmom",
  "Type": "Package",
  "Title": "Compute Moments Related to Beta-Wishart and Inverse Beta-Wishart\nDistributions",
  "Version": "1.2.0",
  "Authors@R": "c(person(\"Raymond\", \"Kan\", email = \"raymond.kan@rotman.utoronto.ca\",\nrole = c(\"aut\", \"cre\")),\nperson(\"Preston\", \"Liang\", email = \"preston.liang.2003@gmail.com\",\nrole = c(\"aut\")))",
  "Description": "Provides functions for computing moments and coefficients\nrelated to the Beta-Wishart and Inverse Beta-Wishart\ndistributions. It includes functions for calculating the\nexpectation of matrix-valued functions of the Beta-Wishart\ndistribution, coefficient matrices C_k and H_k, expectation of\nmatrix-valued functions of the inverse Beta-Wishart\ndistribution, and coefficient matrices \\tilde{C}_k and\n\\tilde{H}_k. For more details, refer Hillier and Kan (2024)\n<https://www-2.rotman.utoronto.ca/~kan/papers/wishmom.pdf>, \"On\nthe Expectations of Equivariant Matrix-valued Functions of\nWishart and Inverse Wishart Matrices\".",
  "License": "MIT + file LICENSE",
  "Encoding": "UTF-8",
  "RoxygenNote": "7.3.2",
  "VignetteBuilder": "knitr",
  "NeedsCompilation": "no",
  "Author": "Raymond Kan [aut, cre], Preston Liang [aut]",
  "Maintainer": "Raymond Kan <raymond.kan@rotman.utoronto.ca>",
  "Packaged": {
    "Date": "2026-09-24 10:30:33 UTC",
    "User": "root"
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  "Repository": "https://raymond-kan.r-universe.dev",
  "Date/Publication": "2026-09-09 14:10:01 UTC",
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    "denpoly",
    "dkmap",
    "ip_desc",
    "iwish_ps",
    "iwish_psr",
    "iwishmom",
    "iwishmom_sym",
    "qk_coeff",
    "qkn_coeff",
    "qkn_coeffr",
    "wish_ps",
    "wishmom",
    "wishmom_sym"
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    {
      "page": "denpoly",
      "title": "Coefficients of the Denominator Polynomial for \\tilde{H}_k and \\tilde{C}_k",
      "topics": [
        "denpoly"
      ]
    },
    {
      "page": "dkmap",
      "title": "Mapping Matrix that maps Q_{k+1} to Q_k for a beta-Wishart Distribution, but without n on the diagonal",
      "topics": [
        "dkmap"
      ]
    },
    {
      "page": "ip_desc",
      "title": "Generate Integer Partitions in Reverse Lexicographical Order",
      "topics": [
        "ip_desc"
      ]
    },
    {
      "page": "iwish_ps",
      "title": "Inverse of a Coefficient Matrix \\tilde{\\mathcal{H}}_k",
      "topics": [
        "iwish_ps"
      ]
    },
    {
      "page": "iwish_psr",
      "title": "Coefficient Matrix \\tilde{\\mathcal{H}}_k",
      "topics": [
        "iwish_psr"
      ]
    },
    {
      "page": "iwishmom",
      "title": "Expectation of a Matrix-valued Function of an Inverse beta-Wishart Distribution",
      "topics": [
        "iwishmom"
      ]
    },
    {
      "page": "iwishmom_sym",
      "title": "Symbolic Expectation of a Matrix-valued Function of an Inverse beta-Wishart Distribution",
      "topics": [
        "iwishmom_sym"
      ]
    },
    {
      "page": "qk_coeff",
      "title": "Coefficient Matrix \\mathcal{C}_k",
      "topics": [
        "qk_coeff"
      ]
    },
    {
      "page": "qkn_coeff",
      "title": "Inverse of a Coefficient Matrix \\tilde{\\mathcal{C}}_k",
      "topics": [
        "qkn_coeff"
      ]
    },
    {
      "page": "qkn_coeffr",
      "title": "Coefficient Matrix \\tilde{C}_k",
      "topics": [
        "qkn_coeffr"
      ]
    },
    {
      "page": "wish_ps",
      "title": "Coefficient Matrix \\mathcal{H}_k",
      "topics": [
        "wish_ps"
      ]
    },
    {
      "page": "wishmom",
      "title": "Expectation of a Matrix-valued Function of a beta-Wishart Distribution",
      "topics": [
        "wishmom"
      ]
    },
    {
      "page": "wishmom_sym",
      "title": "Symbolic Expectation of a Matrix-valued Function of a beta-Wishart Distribution",
      "topics": [
        "wishmom_sym"
      ]
    }
  ],
  "_rundeps": [],
  "_vignettes": [
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      "source": "wishmom_vignettes.Rmd",
      "filename": "wishmom_vignettes.html",
      "title": "Using the wishmom Package",
      "author": "Raymond Kan and Preston Liang",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Introduction",
        "Mathematical Background",
        "$\\beta$-Wishart Distribution",
        "Moments of Matrix-valued Functions of $\\beta$-Wishart and Inverse $\\beta$-Wishart Distributions",
        "Main Functions in the Package",
        "Moments of $\\beta$-Wishart:",
        "wishmom()",
        "Arguments",
        "Output",
        "Examples",
        "wishmom_sym()",
        "Moments of Inverse $\\beta$-Wishart:",
        "iwishmom()",
        "iwishmom_sym()",
        "Auxiliary Functions",
        "ip_desc()",
        "dkmap()",
        "denpoly()",
        "qk_coeff()",
        "wish_ps()",
        "qkn_coeff()",
        "iwish_ps()",
        "qkn_coeffr()",
        "iwish_psr()",
        "References"
      ],
      "created": "2024-08-24 02:48:51",
      "modified": "2026-09-09 14:10:01",
      "commits": 3
    }
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