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

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

doi:10.1080/03610926.2020.1842452

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

Journal article

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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, Vol.51(16), pp.5488-5504

18/08/2022

DOI: https://doi.org/10.1080/03610926.2020.1842452

Abstract

60B12; 62G30

Bivariate generalized exponential distribution

Concomitants

Generalized order statistics

IFGM family

In this article, we study the concomitants of m-generalized order statistics (m-GOS) from iterated Farlie-Gumbel-Morgenstern bivariate distributions, denoted by IFGM 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 Finally, the asymptotic behavior of the concomitant's rank for the model ordinary order statistics is studied.

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Title: Concomitants of generalized order statistics from iterated Farlie-Gumbel-Morgenstern type bivariate distribution
Creators - without role: M. A. Alawady - Zagazig University
H. M. Barakat - Zagazig University
Shengwu Xiong - Wuhan University of Technology
M. A. Abd Elgawad - Benha University
Publication Details: Communications in statistics. Theory and methods, Vol.51(16), pp.5488-5504
Publisher: Taylor & Francis
Identifiers: 9916211708331
Academic Unit: Imam Mohammad Ibn Saud Islamic University (IMSIU)
Language: English
Resource Type: Journal article