Recurrence relations for single moments of generalized order statistics from doubly truncated continuous distributions

Abstract EN

In this paper, we consider a general class of continuous distributions given by 1-F = [ah (x) + b]c - F x = ah x + b A recurrence relation for single higher moments of generalized order statistics from the doubly truncated case of the above class is derived.

Recurrence relations for single higher moments of ordinary order statistics and krecords (ordinary record values when k = 1), have been obtained as special cases from generalized order statistics.

These results are utilized to establish similar recurrence relations for Weibull, Pareto and Power function distributions.