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

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  • M. A. Alawady
  • H. M. Barakat
  • Shengwu Xiong
  • M. A. Abd Elgawad

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.

Suggested Citation

  • M. A. Alawady & H. M. Barakat & Shengwu Xiong & M. A. Abd Elgawad, 2022. "Concomitants of generalized order statistics from iterated Farlie–Gumbel–Morgenstern type bivariate distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(16), pages 5488-5504, August.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:16:p:5488-5504
    DOI: 10.1080/03610926.2020.1842452
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    Cited by:

    1. Islam A. Husseiny & Metwally A. Alawady & Salem A. Alyami & Mohamed A. Abd Elgawad, 2023. "Measures of Extropy Based on Concomitants of Generalized Order Statistics under a General Framework from Iterated Morgenstern Family," Mathematics, MDPI, vol. 11(6), pages 1-17, March.

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