Some Characterizations based on Generalized Order Statistics from Weibull-Family of Life Distributions

Abstract

Characterizations of probability distributions based on recurrence relations for single and product moments of generalized order statistics has attracted the attention of many researchers. We present here, characterizations of Weibull -family of life distributions based on generalized order statistics.

Characterizations of distributions based on recurrence relations for single and product moments of generalized order statistics have been investigated quite extensively in the literature involving ordered random variables. As generalized order statistics (GOS) provide a unifying approach to models of ordered random variables.