In this paper, the Bayesian prediction intervals for the future nonadjacent generalized order statistics are computed based on a past right censored sample of nonadjacent generalized order statistics from generalized exponential distribution GE(α, τ). Then, the results will be specialized to the type-II censored samples and to the upper recored values. Mathematics Subject Classification: 62F10;...

In this paper we give some recurrence relations satisfied by single and product moments of generalized order statistics from doubly truncated generalized exponential distribution. These relations are deduced for moments of record values and order statistics. Further, using a recurrence relation for single moments we obtain a characterization of generalized exponential distribution.

Relations are derived for expectations of functions of generalized order statistics within a class of distributions including a variety of identities for single and product moments of ordinary order statistics and record values as particular cases. Since several models of ordered random variables are contained in the concept of generalized order statistics and since there are no restrictions im...