Concomitants of generalized order statistics from iterated Farlie–Gumbel–Morgenstern type bivariate distribution

M. A. Alawady, H. M. Barakat, Shengwu Xiong and M. A. Abd Elgawad

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 16, 5488-5504

Abstract: In this article, we study the concomitants of m-generalized order statistics (m-GOS) from iterated Farlie–Gumbel–Morgenstern bivariate distributions, denoted by IFGM (λ,η), as an extension of several recent papers. Furthermore, the joint distribution of m-GOS of concomitants for this family are studied. Some useful recurrence relations between moments of concomitants are obtained. The generalized exponential distribution is taken a typical case of the possible marginals of the IFGM (λ,η). Finally, the asymptotic behavior of the concomitant’s rank for the model ordinary order statistics is studied.

Date: 2022
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DOI: 10.1080/03610926.2020.1842452

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