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  "Title": "Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and\nDestruction Rate Modelling",
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  "Description": "Distributions that are typically used for exposure rating\nin general insurance, in particular to price reinsurance\ncontracts. The vignette shows code snippets to fit the\ndistribution to empirical data. See, e.g., Bernegger (1997)\n<doi:10.2143/AST.27.1.563208> freely available on-line.",
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    "roifun",
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    "roistpareto",
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    {
      "page": "mbbefd-package",
      "title": "Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and Destruction Rate Modelling",
      "topics": [
        "mbbefd-package"
      ]
    },
    {
      "page": "asiacomrisk",
      "title": "Large commercial risks in Asia-Pacific",
      "topics": [
        "asiacomrisk"
      ]
    },
    {
      "page": "beaonre",
      "title": "AON Re Belgian dataset",
      "topics": [
        "beaonre"
      ]
    },
    {
      "page": "bootDR",
      "title": "Bootstrap simulation of destruction rate models",
      "topics": [
        "bootDR"
      ]
    },
    {
      "page": "eecf",
      "title": "Empirical Exposure Curve Function",
      "topics": [
        "eecf",
        "lines.eecf",
        "plot.eecf",
        "print.eecf",
        "summary.eecf"
      ]
    },
    {
      "page": "etl",
      "title": "Empirical total loss",
      "topics": [
        "etl"
      ]
    },
    {
      "page": "exposureCurve",
      "title": "Exposure curves for the beta and the uniform distributions.",
      "topics": [
        "ecbeta",
        "ecunif",
        "exposureCurve"
      ]
    },
    {
      "page": "fitDR",
      "title": "Fit of destruction rate models",
      "topics": [
        "fitDR"
      ]
    },
    {
      "page": "g2a",
      "title": "Get a parameter known g and b",
      "topics": [
        "g2a"
      ]
    },
    {
      "page": "distr-genbeta",
      "title": "The generalized Beta of the first kind Distribution",
      "topics": [
        "dgbeta",
        "dgbeta1",
        "ecgbeta",
        "gbeta",
        "mgbeta",
        "pgbeta",
        "qgbeta",
        "rgbeta"
      ]
    },
    {
      "page": "graph-eccomp",
      "title": "Graphical comparison of multiple fitted distributions",
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        "graph-eccomp"
      ]
    },
    {
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      "title": "Italian grade scores",
      "topics": [
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      ]
    },
    {
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      "title": "General Liability Claims",
      "topics": [
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      ]
    },
    {
      "page": "mbbefdDistribution",
      "title": "The MBBEFD distribution (two parametrizations)",
      "topics": [
        "dMBBEFD",
        "dmbbefd",
        "dMBBEFD1",
        "dmbbefd1",
        "dMBBEFD2",
        "dmbbefd2",
        "ecMBBEFD",
        "ecmbbefd",
        "MBBEFD",
        "mbbefd",
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        "mMBBEFD",
        "mmbbefd",
        "pMBBEFD",
        "pmbbefd",
        "qMBBEFD",
        "qmbbefd",
        "rMBBEFD",
        "rmbbefd",
        "tlMBBEFD",
        "tlmbbefd"
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    },
    {
      "page": "1infl-beta",
      "title": "One-inflated beta distribution",
      "topics": [
        "doibeta",
        "ecoibeta",
        "moibeta",
        "oibeta",
        "poibeta",
        "qoibeta",
        "roibeta",
        "tloibeta"
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    },
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        "ecoifun",
        "moifun",
        "oidistribution",
        "poifun",
        "qoifun",
        "roifun",
        "tloifun"
      ]
    },
    {
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      "title": "One-inflated generalized beta of the first kind (GB1)) distribution",
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        "doigbeta",
        "ecoigbeta",
        "moigbeta",
        "oigbeta",
        "poigbeta",
        "qoigbeta",
        "roigbeta",
        "tloigbeta"
      ]
    },
    {
      "page": "1infl-stpareto",
      "title": "One-inflated shifted truncated pareto distribution",
      "topics": [
        "doistpareto",
        "ecoistpareto",
        "moistpareto",
        "oistpareto",
        "poistpareto",
        "qoistpareto",
        "roistpareto",
        "tloistpareto"
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    },
    {
      "page": "1infl-unif",
      "title": "One-inflated uniform distribution",
      "topics": [
        "doiunif",
        "ecoiunif",
        "moiunif",
        "oiunif",
        "poiunif",
        "qoiunif",
        "roiunif",
        "tloiunif"
      ]
    },
    {
      "page": "distr-sfttrncPareto",
      "title": "The shifted truncated Pareto distribution",
      "topics": [
        "dstpareto",
        "ecstpareto",
        "mstpareto",
        "pstpareto",
        "qstpareto",
        "rstpareto",
        "stpareto"
      ]
    },
    {
      "page": "swissRe",
      "title": "Swiss Re exposure curve generation function",
      "topics": [
        "swissRe"
      ]
    }
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  "_readme": "https://github.com/spedygiorgio/mbbefd/raw/HEAD/README.md",
  "_rundeps": [
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    "alabama",
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    "Matrix",
    "numDeriv",
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  "_vignettes": [
    {
      "source": "Introduction.Rmd",
      "filename": "Introduction.html",
      "title": "Exposure rating, destruction rate models and the mbbefd package",
      "author": "Christophe Dutang, Markus Gesmann, Giorgio Spedicato",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Introduction and general notation",
        "Loss Distribution",
        "Expected Loss",
        "Limited Expected Loss",
        "Loss Cost of a Layer",
        "Increased Limit Factor",
        "Exposure curves",
        "Normalising loss experience using TIV and MPL",
        "Analysing deductibles",
        "Destruction rate models",
        "Classic distributions",
        "Uniform distribution",
        "Beta distribution",
        "One-inflated distributions",
        "Characterizations",
        "The one-inflated beta distribution",
        "The MBBEFD distribution, first parametrization",
        "Characterization by the exposure curve",
        "Distribution, density and quantile functions",
        "Moments",
        "The MBBEFD distribution, second parametrization",
        "Parameter domain",
        "Fitting methods and pricing examples",
        "Fitting methods: MLE and TLMME",
        "Examples",
        "Computation of premium rate (example)",
        "Losses below deductible",
        "Losses above deductible, but below limit",
        "Losses above limit",
        "Premium Rate",
        "References"
      ],
      "created": "2026-01-19 22:08:25",
      "modified": "2026-01-27 16:51:04",
      "commits": 2
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