论文信息 - Computing the moments of order statistics from nonidentical random variables

Computing the moments of order statistics from nonidentical random variables

Abstract.In this paper, we establish new representations, identities and recurrence relations of order statistics (o.s.) arising from general independent nonidentically distributed random variables (r.v.’s). These recurrence relations will enable one to compute all moments of all o.s. in a simple manner. Applications for some known distributions are given.

Y. H. Abdelkader | H. M. Barakat

[1] Henryk Minc,et al. Theory of permanents 1978–1981 , 1983 .

[2] Ravindra B. Bapat,et al. Order statistics for nonidentically distributed variables and permanents , 1989 .

[3] Y. H. Abdelkader,et al. Computing the moments of order statistics from nonidentically distributed Weibull variables , 2000 .

[4] Narayanaswamy Balakrishnan,et al. Relations, Bounds and Approximations for Order Statistics , 1989 .

[5] B. Arnold,et al. A first course in order statistics , 1994 .

[6] Yousry H. Abdelkader. Erlang distributed activity times in stochastic activity networks , 2003, Kybernetika.

[7] Michael A. West,et al. Computing distributions of order statistics , 1997 .

[8] S. Bendre,et al. General relations and identities for order statistics from non-independent non-identical variables , 1992 .

[9] J. D. T. Oliveira,et al. The Asymptotic Theory of Extreme Order Statistics , 1979 .

[10] Narayanaswamy Balakrishnan,et al. 15 Generalized recurrence relations for moments of order statistics from non-identical pareto and truncated pareto random variables with applications to robustness , 1998, Order statistics.

[11] A. Bendell,et al. Evaluating Project Completion Times When Activity Times are Erlang Distributed , 1995 .

[12] Henryk Minc,et al. Theory of permanents 1982–1985 , 1987 .