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Properties on concomitants of generalized order statistics from a bivariate Rayleigh distribution. (English) Zbl 06835872

Summary: The concept of generalized order statistics (gos) has been introduced as a unified models of ordered random variables. In this paper, we find some properties on concomitants of gos in Morgenstern type bivariate Rayleigh distribution (MTBRD). Recurrence relations between moments of concomitants are also obtained. Some properties of joint distributions for concomitants of gos are presented. Finally, we have derived the best linear unbiased estimator based on concomitants of record values for a parameter involved in MTBRD.

MSC:

62E15 Exact distribution theory in statistics
62G30 Order statistics; empirical distribution functions
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