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

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.