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  "Description": "Various statistical methods and models which are typically\nused for the estimation of outstanding claims reserves in\ngeneral insurance, including those to estimate the claims\ndevelopment result as required under Solvency II.",
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    "show",
    "summary",
    "Table64",
    "Table65",
    "Table68",
    "triangle",
    "tweedieReserve",
    "vcov"
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        "18",
        "19",
        "20",
        "21",
        "22",
        "23",
        "24",
        "25",
        "26",
        "27",
        "28",
        "29",
        "30",
        "31",
        "32",
        "33",
        "34",
        "35",
        "36",
        "37",
        "38",
        "39",
        "40",
        "41",
        "42",
        "43",
        "44",
        "45"
      ],
      "rows": 12,
      "table": true,
      "tojson": true
    },
    {
      "name": "RAA",
      "title": "Run off triangle of accumulated claims data",
      "object": "RAA",
      "class": [
        "triangle",
        "matrix"
      ],
      "fields": [
        "1",
        "2",
        "3",
        "4",
        "5",
        "6",
        "7",
        "8",
        "9",
        "10"
      ],
      "rows": 10,
      "table": true,
      "tojson": true
    },
    {
      "name": "UKMotor",
      "title": "UK motor claims triangle",
      "object": "UKMotor",
      "class": [
        "triangle",
        "matrix"
      ],
      "fields": [
        "1",
        "2",
        "3",
        "4",
        "5",
        "6",
        "7"
      ],
      "rows": 7,
      "table": true,
      "tojson": true
    },
    {
      "name": "USAAincurred",
      "title": "Example paid and incurred triangle data from CAS web site.",
      "object": "USAAincurred",
      "class": [
        "triangle",
        "matrix"
      ],
      "fields": [
        "1",
        "2",
        "3",
        "4",
        "5",
        "6",
        "7",
        "8",
        "9",
        "10"
      ],
      "rows": 10,
      "table": true,
      "tojson": true
    },
    {
      "name": "USAApaid",
      "title": "Example paid and incurred triangle data from CAS web site.",
      "object": "USAApaid",
      "class": [
        "triangle",
        "matrix"
      ],
      "fields": [
        "1",
        "2",
        "3",
        "4",
        "5",
        "6",
        "7",
        "8",
        "9",
        "10"
      ],
      "rows": 10,
      "table": true,
      "tojson": true
    }
  ],
  "_help": [
    {
      "page": "ChainLadder-package",
      "title": "Methods and Models for Claims Reserving",
      "topics": [
        "ChainLadder-package",
        "ChainLadder"
      ]
    },
    {
      "page": "ABC",
      "title": "Run off triangle of accumulated claims data",
      "topics": [
        "ABC"
      ]
    },
    {
      "page": "as.LongTriangle",
      "title": "Convert Triangle from wide to long",
      "topics": [
        "as.LongTriangle"
      ]
    },
    {
      "page": "ata",
      "title": "Calculate Age-to-Age Factors",
      "topics": [
        "ata"
      ]
    },
    {
      "page": "auto",
      "title": "Run off triangle of accumulated claim data",
      "topics": [
        "auto"
      ]
    },
    {
      "page": "AutoBI",
      "title": "Run off triangles of accumulated claim data",
      "topics": [
        "AutoBI"
      ]
    },
    {
      "page": "BootChainLadder",
      "title": "Bootstrap-Chain-Ladder Model",
      "topics": [
        "BootChainLadder"
      ]
    },
    {
      "page": "BS.paid.adj",
      "title": "Berquist-Sherman Paid Claim Development Adjustment",
      "topics": [
        "BS.paid.adj"
      ]
    },
    {
      "page": "CDR",
      "title": "One year claims development result",
      "topics": [
        "CDR",
        "CDR.BootChainLadder",
        "CDR.default",
        "CDR.MackChainLadder"
      ]
    },
    {
      "page": "chainladder",
      "title": "Estimate age-to-age factors",
      "topics": [
        "chainladder"
      ]
    },
    {
      "page": "checkTriangleInflation",
      "title": "Check Y-o-Y Triangle Inflation Rates",
      "topics": [
        "checkTriangleInflation"
      ]
    },
    {
      "page": "ClarkCapeCod",
      "title": "Clark Cape Cod method",
      "topics": [
        "ClarkCapeCod"
      ]
    },
    {
      "page": "ClarkLDF",
      "title": "Clark LDF method",
      "topics": [
        "ClarkLDF"
      ]
    },
    {
      "page": "CLFMdelta",
      "title": "Find \"selection consistent\" values of delta",
      "topics": [
        "CLFMdelta"
      ]
    },
    {
      "page": "coef.ChainLadder",
      "title": "Extract residuals of a ChainLadder model",
      "topics": [
        "coef.ChainLadder"
      ]
    },
    {
      "page": "utilityfunctions",
      "title": "Cumulative and incremental triangles",
      "topics": [
        "cum2incr",
        "incr2cum"
      ]
    },
    {
      "page": "cyEffTest",
      "title": "Testing for Calendar Year Effect",
      "topics": [
        "cyEffTest"
      ]
    },
    {
      "page": "dfCorTest",
      "title": "Testing for Correlations between Subsequent Development Factors",
      "topics": [
        "dfCorTest"
      ]
    },
    {
      "page": "GenIns",
      "title": "Run off triangle of claims data.",
      "topics": [
        "GenIns",
        "GenInsLong"
      ]
    },
    {
      "page": "getLatestCumulative",
      "title": "Triangle information for most recent calendar period.",
      "topics": [
        "getLatestCumulative"
      ]
    },
    {
      "page": "glmReserve",
      "title": "GLM-based Reserving Model",
      "topics": [
        "glmReserve",
        "plot.glmReserve",
        "print.glmReserve",
        "resid.glmReserve",
        "summary.glmReserve"
      ]
    },
    {
      "page": "inflateTriangle",
      "title": "Inflate a Triangle based on an Inflation Rate",
      "topics": [
        "inflateTriangle"
      ]
    },
    {
      "page": "Join2Fits",
      "title": "Join Two Fitted MultiChainLadder Models",
      "topics": [
        "Join2Fits"
      ]
    },
    {
      "page": "JoinFitMse",
      "title": "Join Model Fit and Mse Estimation",
      "topics": [
        "JoinFitMse"
      ]
    },
    {
      "page": "liab",
      "title": "Run off triangle of accumulated claim data",
      "topics": [
        "liab"
      ]
    },
    {
      "page": "LRfunction",
      "title": "Calculate the Link Ratio Function",
      "topics": [
        "LRfunction"
      ]
    },
    {
      "page": "M3IR5",
      "title": "Run off triangle of claims data",
      "topics": [
        "M3IR5"
      ]
    },
    {
      "page": "MackChainLadder",
      "title": "Mack Chain-Ladder Model",
      "topics": [
        "MackChainLadder"
      ]
    },
    {
      "page": "MCLpaid",
      "title": "Run off triangles of accumulated paid and incurred claims data.",
      "topics": [
        "MCLincurred",
        "MCLpaid"
      ]
    },
    {
      "page": "MedMal",
      "title": "Run off triangles of accumulated claim data",
      "topics": [
        "MedMal"
      ]
    },
    {
      "page": "Mortgage",
      "title": "Run off triangle of accumulated claims data",
      "topics": [
        "Mortgage"
      ]
    },
    {
      "page": "Mse-methods",
      "title": "Methods for Generic Function Mse",
      "topics": [
        "Mse",
        "Mse,GMCLFit,triangles-method",
        "Mse,MCLFit,triangles-method",
        "Mse-methods"
      ]
    },
    {
      "page": "MultiChainLadder",
      "title": "Multivariate Chain-Ladder Models",
      "topics": [
        "MultiChainLadder",
        "MultiChainLadder2"
      ]
    },
    {
      "page": "MultiChainLadder-class",
      "title": "Class \"MultiChainLadder\" of Multivariate Chain-Ladder Results",
      "topics": [
        "$,MultiChainLadder-method",
        "coef,MultiChainLadder-method",
        "fitted,MultiChainLadder-method",
        "MultiChainLadder-class",
        "names,MultiChainLadder-method",
        "resid,MultiChainLadder-method",
        "residuals,MultiChainLadder-method",
        "rstandard,MultiChainLadder-method",
        "show,MultiChainLadder-method",
        "vcov,MultiChainLadder-method",
        "[[,MultiChainLadder,character,missing-method",
        "[[,MultiChainLadder,numeric,missing-method"
      ]
    },
    {
      "page": "MultiChainLadderFit-class",
      "title": "Class \"MultiChainLadderFit\", \"MCLFit\" and \"GMCLFit\"",
      "topics": [
        "GMCLFit-class",
        "MCLFit-class",
        "MultiChainLadderFit-class",
        "predict,GMCLFit-method",
        "predict,MCLFit-method"
      ]
    },
    {
      "page": "MultiChainLadderMse-class",
      "title": "Class \"MultiChainLadderMse\"",
      "topics": [
        "MultiChainLadderMse-class"
      ]
    },
    {
      "page": "MultiChainLadderSummary-class",
      "title": "Class \"MultiChainLadderSummary\"",
      "topics": [
        "$,MultiChainLadderSummary-method",
        "MultiChainLadderSummary-class",
        "names,MultiChainLadderSummary-method",
        "show,MultiChainLadderSummary-method",
        "[[,MultiChainLadderSummary,character,missing-method",
        "[[,MultiChainLadderSummary,numeric,missing-method"
      ]
    },
    {
      "page": "MunichChainLadder",
      "title": "Munich-chain-ladder Model",
      "topics": [
        "MunichChainLadder"
      ]
    },
    {
      "page": "MW2008",
      "title": "Run-off claims triangle",
      "topics": [
        "MW2008"
      ]
    },
    {
      "page": "MW2014",
      "title": "Run-off claims triangle",
      "topics": [
        "MW2014"
      ]
    },
    {
      "page": "NullNum-class",
      "title": "Class \"NullNum\", \"NullChar\" and \"NullList\"",
      "topics": [
        "NullChar-class",
        "NullList-class",
        "NullNum-class"
      ]
    },
    {
      "page": "PaidIncurredChain",
      "title": "PaidIncurredChain",
      "topics": [
        "PaidIncurredChain"
      ]
    },
    {
      "page": "plot-methods",
      "title": "Methods for Function plot",
      "topics": [
        "plot,MultiChainLadder,missing-method",
        "plot-methods"
      ]
    },
    {
      "page": "plot.BootChainLadder",
      "title": "Plot method for a BootChainLadder object",
      "topics": [
        "plot.BootChainLadder"
      ]
    },
    {
      "page": "plot.checkTriangleInflation",
      "title": "Plot method for a checkTriangleInflation object",
      "topics": [
        "plot.checkTriangleInflation"
      ]
    },
    {
      "page": "plot.clark",
      "title": "Plot Clark method residuals",
      "topics": [
        "plot.clark"
      ]
    },
    {
      "page": "plot.cyEffTest",
      "title": "Plot method for a cyEffTest object",
      "topics": [
        "plot.cyEffTest"
      ]
    },
    {
      "page": "plot.dfCorTest",
      "title": "Plot method for a dfCorTest object",
      "topics": [
        "plot.dfCorTest"
      ]
    },
    {
      "page": "plot.MackChainLadder",
      "title": "Plot method for a MackChainLadder object",
      "topics": [
        "plot.MackChainLadder"
      ]
    },
    {
      "page": "plot.MunichChainLadder",
      "title": "Plot method for a MunichChainLadder object",
      "topics": [
        "plot.MunichChainLadder"
      ]
    },
    {
      "page": "predict.TriangleModel",
      "title": "Prediction of a claims triangle",
      "topics": [
        "predict.ChainLadder",
        "predict.TriangleModel"
      ]
    },
    {
      "page": "print.ata",
      "title": "Print Age-to-Age factors",
      "topics": [
        "print.ata"
      ]
    },
    {
      "page": "print.checkTriangleInflation",
      "title": "Print function for a checkTriangleInflation object",
      "topics": [
        "print.checkTriangleInflation"
      ]
    },
    {
      "page": "print.clark",
      "title": "Print results of Clark methods",
      "topics": [
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        "print.ClarkCapeCod",
        "print.ClarkLDF"
      ]
    },
    {
      "page": "print.cyEffTest",
      "title": "Print function for a cyEffTest object",
      "topics": [
        "print.cyEffTest"
      ]
    },
    {
      "page": "print.dfCorTest",
      "title": "Print function for a dfCorTest object",
      "topics": [
        "print.dfCorTest"
      ]
    },
    {
      "page": "qpaid",
      "title": "Quarterly run off triangle of accumulated claims data",
      "topics": [
        "qincurred",
        "qpaid"
      ]
    },
    {
      "page": "quantile.MackChainLadder",
      "title": "quantile function for Mack-chain-ladder",
      "topics": [
        "quantile.MackChainLadder"
      ]
    },
    {
      "page": "QuantileIFRS17",
      "title": "Quantile estimation for the IFRS 17 Risk Adjustment",
      "topics": [
        "QuantileIFRS17"
      ]
    },
    {
      "page": "RAA",
      "title": "Run off triangle of accumulated claims data",
      "topics": [
        "RAA"
      ]
    },
    {
      "page": "residCov-methods",
      "title": "Generic function for residCov and residCor",
      "topics": [
        "residCor",
        "residCor,MultiChainLadder-method",
        "residCor-methods",
        "residCov",
        "residCov,MultiChainLadder-method",
        "residCov-methods"
      ]
    },
    {
      "page": "residuals.MackChainLadder",
      "title": "Extract residuals of a MackChainLadder model",
      "topics": [
        "residuals.MackChainLadder"
      ]
    },
    {
      "page": "summary-methods",
      "title": "Methods for Function summary",
      "topics": [
        "summary,MultiChainLadder-method",
        "summary-methods"
      ]
    },
    {
      "page": "summary.ata",
      "title": "Summary method for object of class 'ata'",
      "topics": [
        "summary.ata"
      ]
    },
    {
      "page": "summary.BootChainLadder",
      "title": "Methods for BootChainLadder objects",
      "topics": [
        "mean.BootChainLadder",
        "print.BootChainLadder",
        "quantile.BootChainLadder",
        "residuals.BootChainLadder",
        "summary.BootChainLadder"
      ]
    },
    {
      "page": "summary.checkTriangleInflation",
      "title": "Summary function for a checkTriangleInflation object",
      "topics": [
        "summary.checkTriangleInflation"
      ]
    },
    {
      "page": "summary.clark",
      "title": "Summary methods for Clark objects",
      "topics": [
        "summary.ClarkCapeCod",
        "summary.ClarkLDF"
      ]
    },
    {
      "page": "summary.cyEffTest",
      "title": "Summary function for a cyEffTest object",
      "topics": [
        "summary.cyEffTest"
      ]
    },
    {
      "page": "summary.dfCorTest",
      "title": "Summary function for a dfCorTest object",
      "topics": [
        "summary.dfCorTest"
      ]
    },
    {
      "page": "summary.MackChainLadder",
      "title": "Summary and print function for Mack-chain-ladder",
      "topics": [
        "print.MackChainLadder",
        "summary.MackChainLadder"
      ]
    },
    {
      "page": "summary.MunichChainLadder",
      "title": "Summary and print function for Munich-chain-ladder",
      "topics": [
        "print.MunichChainLadder",
        "summary.MunichChainLadder"
      ]
    },
    {
      "page": "Table65",
      "title": "Functions to Reproduce Clark's Tables",
      "topics": [
        "Table64",
        "Table65",
        "Table68"
      ]
    },
    {
      "page": "Triangles",
      "title": "Generic functions for triangles",
      "topics": [
        "as.data.frame.triangle",
        "as.triangle",
        "as.triangle.data.frame",
        "as.triangle.matrix",
        "plot.triangle",
        "triangle"
      ]
    },
    {
      "page": "triangles-class",
      "title": "S4 Class \"triangles\"",
      "topics": [
        "cbind2,triangles,missing-method",
        "coerce,list,triangles-method",
        "dim,triangles-method",
        "rbind2,triangles,missing-method",
        "triangles-class",
        "[,triangles,missing,numeric,logical-method",
        "[,triangles,missing,numeric,missing-method",
        "[,triangles,numeric,missing,logical-method",
        "[,triangles,numeric,missing,missing-method",
        "[,triangles,numeric,numeric,missing-method",
        "[<-,triangles,numeric,numeric,list-method"
      ]
    },
    {
      "page": "tweedieReserve",
      "title": "Tweedie Stochastic Reserving Model",
      "topics": [
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    {
      "page": "tweedieMethods",
      "title": "Reserve Risk Capital Report",
      "topics": [
        "print.tweedieReserve",
        "summary.tweedieReserve"
      ]
    },
    {
      "page": "UKMotor",
      "title": "UK motor claims triangle",
      "topics": [
        "UKMotor"
      ]
    },
    {
      "page": "USAA",
      "title": "Example paid and incurred triangle data from CAS web site.",
      "topics": [
        "USAAincurred",
        "USAApaid"
      ]
    },
    {
      "page": "vcov.clark",
      "title": "Covariance Matrix of Parameter Estimates - Clark's methods",
      "topics": [
        "vcov.clark"
      ]
    }
  ],
  "_pkglogo": "https://github.com/mages/chainladder/raw/HEAD/man/figures/logo.png",
  "_readme": "https://github.com/mages/chainladder/raw/HEAD/README.md",
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  "_vignettes": [
    {
      "source": "ChainLadder.Rmd",
      "filename": "ChainLadder.html",
      "title": "ChainLadder: Claims reserving with R",
      "author": "Alessandro Carrato, Fabio Concina, Markus Gesmann, Dan Murphy, Mario Wüthrich and Wayne Zhang",
      "engine": "knitr::rmarkdown",
      "headings": [
        "Introduction",
        "Claims reserving in insurance",
        "The ChainLadder package",
        "Motivation",
        "Brief package overview",
        "Installation",
        "Using the  ChainLadder package",
        "Working with triangles",
        "Plotting triangles",
        "Transforming triangles between cumulative and incremental representation",
        "Importing triangles from external data sources",
        "Importing a triangle from a spreadsheet",
        "Reading data from a data base",
        "Creating triangles interactively",
        "Chain-ladder methods",
        "Basic idea",
        "Mack chain-ladder",
        "Using a subset of the triangle",
        "Munich chain-ladder",
        "Bootstrap chain-ladder",
        "Multivariate chain-ladder",
        "Separate chain-ladder ignoring correlations",
        "Multivariate chain-ladder using seemingly unrelated regressions",
        "Model with intercepts",
        "Joint modelling of the paid and incurred losses",
        "Clark's methods",
        "Clark's LDF method",
        "Clark's Cape Cod method",
        "Generalised linear model methods",
        "Paid-incurred chain model",
        "Model assumptions",
        "Parameter estimation",
        "One year claims development result",
        "CDR functions",
        "Model Validation with tweedieReserve",
        "Further resources",
        "Other insurance related R packages",
        "References"
      ],
      "created": "2020-12-14 22:37:50",
      "modified": "2025-02-06 10:23:32",
      "commits": 11
    }
  ],
  "_score": 9.478186574289625,
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  "_nocasepkg": "chainladder",
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