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Lorenz ordering of power-function order statistics
Authors:Bernd Wilfling
Affiliation:

Institut für Aussenhandel und Wirtschaftsintegration, Universität Hamburg, Von-Melle-Park 5, D-20146, Hamburg, Germany

Abstract:Based on Lorenz comparisons of two random variables from the four-parameter generalized beta distribution of the first kind, Lorenz-order relationships among order statistics from different power-function samples with varying sizes are obtained.
Keywords:Lorenz order   (Fractional) order statistics   Generalized beta distribution of the first kind   Power-function distribution   Sample medians
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