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Concomitants of generalized order statistics from bivariate Burr XII distribution. (English) Zbl 1426.62144

Summary: In this paper probability density function for \(r\)th, \(1\le r\le n\) and the joint \(pdf\) of \(r\)th and \(s\)th, \(1\le r<s\le n\), concomitants of generalized order statistics from bivariate Burr XII distribution [I. W. Burr, Ann. Math. Stat. 13, 215–232 (1942; Zbl 0060.29602)] are obtained and then used to derived single and product moments. Further, the results are deduced for moments of order statistics and \(k\)th upper record values.

MSC:

62G30 Order statistics; empirical distribution functions
62E15 Exact distribution theory in statistics
62H10 Multivariate distribution of statistics

Citations:

Zbl 0060.29602
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