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On the Properties of A Parametric Function for Distribution Generated by Levy's Law

Davood Farbod, Korosh Arzideh

Abstract


In this paper we consider some Discrete Distribution Generated by Levy's Density (DDLD in short). The maximum likelihood estimator (MLE) and uniformly minimal variance unbiased estimator (UMVUE) for a parametric function of the scale parameter are proposed. Some Corollaries are also given. In final, with the help of the respective results and based on an iterative method we estimate the scale parameter, numerically.

Keywords


DDLD, MLE, UMVUE

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