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

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