mbbefd-package: Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and...

In spedygiorgio/mbbefd: Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and Destruction Rate Modelling

Maxwell Boltzmann Bose Einstein Fermi Dirac Distribution and Destruction Rate Modelling

Description

The idea of this package emerged in 2013 from G.A. Spedicato who at this time worked in the area of quantitative risk assessment. In 2015, M. Gesmann and C. Dutang joined the project. This project is hosted at github.

This package contains the core functions of the two parametrizations of the MBBEFD distribution (distribution function, density, quantile functions, random generation, aka d, p, q, r) as well as MBBEFD exposure curve (ec) and raw moments (m).

This package also provides other distributions used for destruction rate modelling, that is the beta, the shifted truncated Pareto and the generalized beta distributions. Due to the presence of a total loss, a one-inflated version of the previous distributions is also provided.

The vignette shows code snippets to fit the distribution to empirical data: Exposure rating, destruction rate models and the mbbefd package.

Author(s)

Christophe Dutang (maintainer), Giorgio Spedicato, Markus Gesmann

References

BERNEGGER, STEFAN (1997). The Swiss Re Exposure Curves And The MBBEFD Distribution Class, ASTIN Bulletin, 27(1), pp99-111, \Sexpr[results=rd]{tools:::Rd_expr_doi("https://doi.org/10.2143/AST.27.1.563208")}.

See Also

See mbbefd-distr for the MBBEFD distribution;
swissRe, exposureCurve for exposure curves;
gbeta, stpareto for finite-support distributions;
oidistribution, oibeta, oigbeta, oiunif, oistpareto for one-inflated distributions.

spedygiorgio/mbbefd documentation built on Sept. 2, 2023, 1:55 p.m.