Actuarial Functions and Heavy Tailed Distributions
Description
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: .
Implementation of the Feller-Pareto family of distributions:
.