On Unbiased Estimation of GINI,PIESCH and MEHRAN Inequality Indices of Log-Laplace Distribution

Abstract

Here we develop the uniformly minimum variance unbiased (best) estimators and strongly consistent, asymptotically normal unbiased estimators ofGini,Piesch and Mehran inequality indices of Log-Laplace distribution. These estimators are in terms of the special functions ₁F₉ and ₁F₁. The variance of each estimator and ths best estimator of each such variance are derived, which are in terms of certain special cases of Kempe de Feriet function, Appell function F₂ and Humbert function ø₂. Finally each estimator of this paper is shown to be strongly consistent.