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Support for many additional\nprobability distributions to model insurance loss size and\nfrequency: 23 continuous heavy tailed distributions; the\nPoisson-inverse Gaussian discrete distribution; zero-truncated\nand zero-modified extensions of the standard discrete\ndistributions. Support for phase-type distributions commonly\nused to compute ruin probabilities. Main reference:\n. Implementation of the\nFeller-Pareto family of distributions:\n.", "License": "GPL (>= 2)", "URL": "https://gitlab.com/vigou3/actuar", "BugReports": "https://gitlab.com/vigou3/actuar/-/issues", "Encoding": "UTF-8", "LazyData": "yes", "Classification/MSC-2010": "62P05, 91B30, 62G32", "NeedsCompilation": "yes", "Packaged": { "Date": "2026-06-01 11:47:37 UTC", "User": "root" }, "Author": "Vincent Goulet [cre, aut] (ORCID:\n), Sébastien Auclair\n[ctb], Jérémy Déraspe [ctb], Christophe Dutang [aut] (ORCID:\n), Walter Garcia-Fontes\n[ctb], Nicholas Langevin [ctb], Xavier Milhaud [ctb], Tommy\nOuellet [ctb], Alexandre Parent [ctb], Mathieu Pigeon [aut],\nLouis-Philippe Pouliot [ctb], Jeffrey A. 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"levinvgauss", "mgfinvgauss", "minvgauss", "pinvgauss", "qinvgauss", "rinvgauss" ] }, { "page": "InverseParalogistic", "title": "The Inverse Paralogistic Distribution", "topics": [ "dinvparalogis", "InverseParalogistic", "levinvparalogis", "minvparalogis", "pinvparalogis", "qinvparalogis", "rinvparalogis" ] }, { "page": "InversePareto", "title": "The Inverse Pareto Distribution", "topics": [ "dinvpareto", "InversePareto", "levinvpareto", "minvpareto", "pinvpareto", "qinvpareto", "rinvpareto" ] }, { "page": "InverseTransformedGamma", "title": "The Inverse Transformed Gamma Distribution", "topics": [ "dinvtrgamma", "InverseTransformedGamma", "levinvtrgamma", "minvtrgamma", "pinvtrgamma", "qinvtrgamma", "rinvtrgamma" ] }, { "page": "InverseWeibull", "title": "The Inverse Weibull Distribution", "topics": [ "dinvweibull", "dlgompertz", "InverseWeibull", "levinvweibull", "levlgompertz", "minvweibull", "mlgompertz", "pinvweibull", "plgompertz", "qinvweibull", "qlgompertz", "rinvweibull", 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}, { "page": "ogive", "title": "Ogive for Grouped Data", "topics": [ "knots.ogive", "ogive", "ogive.default", "ogive.grouped.data", "plot.ogive", "print.ogive", "summary.ogive" ] }, { "page": "Paralogistic", "title": "The Paralogistic Distribution", "topics": [ "dparalogis", "levparalogis", "mparalogis", "Paralogistic", "pparalogis", "qparalogis", "rparalogis" ] }, { "page": "Pareto", "title": "The Pareto Distribution", "topics": [ "dpareto", "levpareto", "mpareto", "Pareto", "ppareto", "qpareto", "rpareto" ] }, { "page": "Pareto2", "title": "The Pareto II Distribution", "topics": [ "dpareto2", "levpareto2", "mpareto2", "Pareto2", "ppareto2", "qpareto2", "rpareto2" ] }, { "page": "Pareto3", "title": "The Pareto III Distribution", "topics": [ "dpareto3", "levpareto3", "mpareto3", "Pareto3", "ppareto3", "qpareto3", "rpareto3" ] }, { "page": "Pareto4", "title": "The Pareto IV Distribution", "topics": [ "dpareto4", "levpareto4", "mpareto4", "Pareto4", "ppareto4", "qpareto4", "rpareto4" ] }, { "page": "PhaseType", "title": "The Phase-type Distribution", "topics": [ "dphtype", "mgfphtype", "mphtype", "PhaseType", "pphtype", "rphtype" ] }, { "page": "PoissonInverseGaussian", "title": "The Poisson-Inverse Gaussian Distribution", "topics": [ "dpig", "dpoisinvgauss", "PIG", "PoissonInverseGaussian", "ppig", "ppoisinvgauss", "qpig", "qpoisinvgauss", "rpig", "rpoisinvgauss" ] }, { "page": "quantile.aggregateDist", "title": "Quantiles of Aggregate Claim Amount Distribution", "topics": [ "quantile.aggregateDist", "VaR.aggregateDist" ] }, { "page": "quantile.grouped.data", "title": "Quantiles of Grouped Data", "topics": [ "quantile.grouped.data", "summary.grouped.data" ] }, { "page": "rcomphierarc", "title": "Simulation from Compound Hierarchical Models", "topics": [ "print.portfolio", "rcomphierarc", "simul" ] }, { "page": "rcomphierarc.summaries", "title": "Summary Statistics of a Portfolio", "topics": [ "aggregate.portfolio", "frequency.portfolio", "rcomphierarc.summaries", "severity.portfolio", "weights.portfolio" ] }, { "page": "rcompound", "title": "Simulation from Compound Models", "topics": [ "rcompound", "rcomppois" ] }, { "page": "rmixture", "title": "Simulation from Discrete Mixtures", "topics": [ "rmixture" ] }, { "page": "ruin", "title": "Probability of Ruin", "topics": [ "plot.ruin", "ruin" ] }, { "page": "severity", "title": "Manipulation of Individual Claim Amounts", "topics": [ "severity", "severity.default" ] }, { "page": "SingleParameterPareto", "title": "The Single-parameter Pareto Distribution", "topics": [ "dpareto1", "levpareto1", "mpareto1", "ppareto1", "qpareto1", "rpareto1", "SingleParameterPareto" ] }, { "page": "TransformedBeta", "title": "The Transformed Beta Distribution", "topics": [ "dpearson6", "dtrbeta", "levpearson6", "levtrbeta", "mpearson6", "mtrbeta", "Pearson6", "ppearson6", "ptrbeta", "qpearson6", "qtrbeta", "rpearson6", "rtrbeta", "TransformedBeta" ] }, { "page": "TransformedGamma", "title": "The Transformed Gamma Distribution", "topics": [ "dtrgamma", "levtrgamma", "mtrgamma", "ptrgamma", "qtrgamma", "rtrgamma", "TransformedGamma" ] }, { "page": "UniformSupp", "title": "Moments and Moment Generating Function of the Uniform Distribution", "topics": [ "levunif", "mgfunif", "munif", "UniformSupp" ] }, { "page": "unroll", "title": "Display a Two-Dimension Version of a Matrix of Vectors", "topics": [ "unroll" ] }, { "page": "var-methods", "title": "Variance and Standard Deviation", "topics": [ "sd", "sd.default", "sd.grouped.data", "var", "var.default", "var.grouped.data" ] }, { "page": "VaR", "title": "Value at Risk", "topics": [ "VaR" ] }, { "page": "WeibullMoments", "title": "Raw and Limited Moments of the Weibull Distribution", "topics": [ "levweibull", "mweibull", "WeibullMoments" ] }, { "page": "ZeroModifiedBinomial", "title": "The Zero-Modified Binomial Distribution", "topics": [ "dzmbinom", "pzmbinom", "qzmbinom", "rzmbinom", "ZeroModifiedBinomial", "ZMBinomial" ] }, { "page": "ZeroModifiedGeometric", "title": "The Zero-Modified Geometric Distribution", "topics": [ "dzmgeom", "pzmgeom", "qzmgeom", "rzmgeom", "ZeroModifiedGeometric", "Zmgeometric" ] }, { "page": "ZeroModifiedLogarithmic", "title": "The Zero-Modified Logarithmic Distribution", "topics": [ "dzmlogarithmic", "pzmlogarithmic", "qzmlogarithmic", "rzmlogarithmic", "ZeroModifiedLogarithmic", "ZMLogarithmic" ] }, { "page": "ZeroModifiedNegativeBinomial", "title": "The Zero-Modified Negative Binomial Distribution", "topics": [ "dzmnbinom", "pzmnbinom", "qzmnbinom", "rzmnbinom", "ZeroModifiedNegativeBinomial", "ZMNegativeBinomial", "ZMNegBinomial" ] }, { "page": "ZeroModifiedPoisson", "title": "The Zero-Modified Poisson Distribution", "topics": [ "dzmpois", "pzmpois", "qzmpois", "rzmpois", "ZeroModifiedPoisson", "ZMpoisson" ] }, { "page": "ZeroTruncatedBinomial", "title": "The Zero-Truncated Binomial Distribution", "topics": [ "dztbinom", "pztbinom", "qztbinom", "rztbinom", "ZeroTruncatedBinomial", 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