2014•Journal of Statistics Applications & ProbabilityRequires access

Recurrence Relations for Moments of Dual Generalized Order Statistics from Weibull Gamma Distribution and Its Characterizations

M.A.W. Mahmoud, Yahia Abdel-Aty, Nagwa M. Mohamed, G. G. Hamedani

Abstract

In this paper, we establish explicit forms and new recurrence relations satisfied by the single and product moments of dual generalized order statistics from Weibull gamma distribution (WGD). The results include as particular cases the relations for moments of reversed order statistics and lower records. We present characterizations of WGD based on (i) recurrence relation for single moments, (ii) truncated moments of certain function of the variable and (iii) hazard function.

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Key concepts: Weibull distribution, Order statistic, Gamma distribution, Statistics, Generalized gamma distribution, Mathematics, L-moment, Dual (grammatical number)