A GENERALIZED PURELY EXPONENTIAL UNIVARIATE DISTRIBUTION

K. Zografos (Greece) and S. Kotz (Greece)

Received December 10, 2007

Abstract

Motivated by the recent work of the sociologist Jasso [2] dealing with status (prestige), we analyze extensions of the classical univariate exponential distribution with the density  by adding to the expression of density a denominator involving a square root of the form  which results in smaller values of the raw moments and of the Gini coefficient. A further generalization yielding the density is also discussed.

Keywords and phrases: quantile function, moments, Gini coefficient, status theory, Shannon entropy, Rényi entropy.