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

Abstract

Abstract 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. Keywords: Generalized exponential distributionOrder statisticsMoments of order statisticsDigamma, polygamma and hypergeometric functionsLocation and scale parametersBest linear unbiased estimators