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Estimation of the location and scale parameters of generalized exponential distribution based on order statistics
Journal article   Peer reviewed

Estimation of the location and scale parameters of generalized exponential distribution based on order statistics

Mohammad M. Raqab and M. Ahsanullah
Journal of statistical computation and simulation, Vol.69(2), pp.109-123
01/05/2001
DOI: https://doi.org/10.1080/00949650108812085

Abstract

Best linear unbiased estimators Digamma, polygamma and hypergeometric functions Generalized exponential distribution Location and scale parameters Moments of order statistics Order statistics
In this paper we consider the generalized exponential distribution with known shape parameter Θ. We first derive the exact forms of means, variances and covariances of order statistics. We use these expressions in obtaining the necessary coefficients for the best linear unbiased estimators of the location and scale parameters for Θ=0.5(0.5)5.0 and for sample sizes up to ten. The variances and covariances of these estimators are also given.

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