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 1 F9 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.
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