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Multivariate order statistics based on dependent and nonidentically distributed random variables

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  • Barakat, H.M.

Abstract

In this paper some identities and inequalities which involve the joint distribution of order statistics in a set of dependent and nonidentically distributed random variables are derived. These identities and inequalities provide a unified way to handle the joint distribution of order statistics in a set of univariate or bivariate observations.

Suggested Citation

  • Barakat, H.M., 2009. "Multivariate order statistics based on dependent and nonidentically distributed random variables," Journal of Multivariate Analysis, Elsevier, vol. 100(1), pages 81-90, January.
    • Handle: RePEc:eee:jmvana:v:100:y:2009:i:1:p:81-90
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    References listed on IDEAS

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    1. Bairamov, Ismihan, 2006. "Progressive Type II censored order statistics for multivariate observations," Journal of Multivariate Analysis, Elsevier, vol. 97(4), pages 797-809, April.
    2. Galambos, J. & Xu, Y., 1995. "Bivariate Extension of the Method of Polynomials for Bonferroni-Type Inequalities," Journal of Multivariate Analysis, Elsevier, vol. 52(1), pages 131-139, January.
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    Cited by:

    1. Müller K. & Richter W.-D., 2017. "Exact distributions of order statistics from ln,p-symmetric sample distributions," Dependence Modeling, De Gruyter, vol. 5(1), pages 221-245, August.

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