The Marshall-Olkin extended uniform distribution is introduced and studied by Jose and Krishna (2011). In this paper some moments properties of generalized order statistics (gos) for this distribution are investigated and results are deduced for order statistics and record values. In the last section, a characterization result is presented.
Dual generalized order statistics is a common approach to enable descending ordered random variables like reverse order statistics and lower record values. In this paper probability density function of single concomitant and joint probability density function of two concomitants of dual generalized order statistics from bivariate Burr II distribution are obtained and expressions for moment generating function and cumulant generating function are derived. Also the expressions for mean, variance and covariance are given. Further, results are deduced for the reverse order statistics and lower record values.
A.W. Marshall, I. Olkin, Biometrika. 84 (1997), 641 652, introduced an interesting method of adding a new parameter to an existing distribution. The resulting new distribution is called as Marshall Olkin extended distribution. In this paper some recurrence relations for marginal and joint moment generating function of generalized order statistics from Marshall Olkin extended exponential distribution are derived, and the characterization results are presented. Further, the results are deduced for order statistics and record values.
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