actuar

Actuarial Functions and Heavy Tailed Distributions

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Functions and data sets for actuarial science: modeling of loss distributions; risk theory and ruin theory; simulation of compound models, discrete mixtures and compound hierarchical models; credibility theory. Support for many additional probability distributions to model insurance loss size and frequency: 23 continuous heavy tailed distributions; the Poisson-inverse Gaussian discrete distribution; zero-truncated and zero-modified extensions of the standard discrete distributions. Support for phase-type distributions commonly used to compute ruin probabilities. Main reference: doi:10.18637/jss.v025.i07. Implementation of the Feller-Pareto family of distributions: doi:10.18637/jss.v103.i06.


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