Entropy for Pareto-types and its Order Statistics Distributions

Abstract

The aim of this paper is deriving the exact analytical expressions of entropy for the Pareto-types and related distributions. Entropy for $i^{th}$ order statistics of these distributions corresponding to the random sample size $n$ is introduced. We have shown that all the expressions related to finding corresponding entropy for these families and their order statistics distributions are obtained through some particular techniques via integration. Indeed, these techniques for that improper integrals has its own importance also.