an:02140494
Zbl 1056.62012
Barakat, H. M.; Abdelkader, Y. H.
Computing the moments of order statistics from nonidentical random variables
EN
Stat. Methods Appl. 13, No. 1, 15-26 (2004).
00112320
2004
j
62E10 62G30
order statistics; moments; permanents; recurrence relations and identities; Erlang distribution; Pareto distribution; Laplace distribution
Summary: We establish new representations, identities and recurrence relations of order statistics (o.s.) arising from general independent nonidentically distributed random variables. 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.