Concomitants of generalized order statistics from iterated Farlie–Gumbel–Morgenstern type bivariate distribution. Issue 16 (18th August 2022)

• Record Type: Journal Article
• Authors: Alawady, M. A.; Barakat, H. M.; Xiong, Shengwu; Abd Elgawad, M. A.
• Is Part Of: Communications in statistics. Volume 51:Issue 16(2022)
• Page Start: 5488
• Page End: 5504
• Publication Date: 2022-08-18
• Subjects: Concomitants -- Generalized order statistics -- IFGM family -- Bivariate generalized exponential distribution; 60B12; 62G30; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2020.1842452
• Languages: English
• ISSNs: 0361-0926

Abstract

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.