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On Moments of Bivariate Order Statistics

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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.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, Zagazig University, Zagazig, Egypt

    H. M. Barakat

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  1. H. M. Barakat
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Barakat, H.M. On Moments of Bivariate Order Statistics. Annals of the Institute of Statistical Mathematics 51, 351–358 (1999). https://doi.org/10.1023/A:1003818410698

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  • DOI: https://doi.org/10.1023/A:1003818410698

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