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Estimating pareto quantiles using two order statistics
Authors:Umbach Dale  Masoom Ali Mir  Khatab M Hassanein
Institution:1. Department of Mathematics , Ball State University;2. Department of Biometry , The University of Kansas Medical Center
Abstract:Asymptotically best linear unbiased estimators of the population quantiles for the location-scale Pareto distribution with fixed shape parameter are obtained using two suitably chosen order statistics. Formulae for the appropriate order statistics, coefficients, variances, and asymptotic relative efficiencies (relative to the usual non-parametric estimator for quantiles) are given
Keywords:Pareto  quantiles  ABLUE  order statistics  A  R  E
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