Explicit Expressions for Most Common Entropies

Entropy (Basel). 2023 Mar 20;25(3):534. doi: 10.3390/e25030534.

Abstract

Entropies are useful measures of variation. However, explicit expressions for entropies available in the literature are limited. In this paper, we provide a comprehensive collection of explicit expressions for four of the most common entropies for over sixty continuous univariate distributions. Most of the derived expressions are new. The explicit expressions involve known special functions.

Keywords: Gauss hypergeometric function; beta function; gamma function.

Grants and funding

This research received no external funding.