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On Moments of Bivariate Order Statistics
Authors:H. M. Barakat
Affiliation:(1) Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt
Abstract:In the present paper, we give the exact explicit expression for the product moments (of any order) of bivariate order statistics (o.s.) from any arbitrary continuous bivariate distribution function (d.f.). Furthermore, for any arbitrary bivariate uniform d.f., universal distribution-free bounds for the differences of any two different product moments (of order (1,1) or (-1,1)) are given.
Keywords:Bivariate order statistics  moments of order statistics  dependence function
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