English

The Amoroso Distribution

Statistics Theory 2015-07-14 v2 Statistics Theory

Abstract

Herein, we review the properties of the Amoroso distribution, the natural unification of the gamma and extreme value distribution families. Over 50 distinct, named distributions (and twice as many synonyms) occur as special cases or limiting forms. Consequently, this single simple functional form encapsulates and systematizes an extensive menagerie of interesting and common probability distributions.

Keywords

Cite

@article{arxiv.1005.3274,
  title  = {The Amoroso Distribution},
  author = {Gavin E. Crooks},
  journal= {arXiv preprint arXiv:1005.3274},
  year   = {2015}
}

Comments

v2 minor corrections

R2 v1 2026-06-21T15:24:38.484Z