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Computing the moments of order statistics from nonidentical random variables

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Abstract.

In this paper, we establish new representations, identities and recurrence relations of order statistics (o.s.) arising from general independent nonidentically distributed random variables (r.v.’s). These recurrence relations will enable one to compute all moments of all o.s. in a simple manner. Applications for some known distributions are given.

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Authors and Affiliations

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

    H. M. Barakat

  2. Dept. of Math., Faculty of Science, Alexandria University, Alexandria, Egypt

    Y. H. Abdelkader

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  1. H. M. Barakat
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  2. Y. H. Abdelkader
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Correspondence to H. M. Barakat.

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Barakat, H.M., Abdelkader, Y.H. Computing the moments of order statistics from nonidentical random variables. Statistical Methods & Applications 13, 15–26 (2004). https://doi.org/10.1007/s10260-003-0068-9

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  • DOI: https://doi.org/10.1007/s10260-003-0068-9

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