2014•Hacettepe Journal of Mathematics and StatisticsRequires access

EXACT MOMENT OF GENERALIZED ORDER STATISTICS FROM TYPE II EXPONENTIATED LOG-LOGISTIC DISTRIBUTION

Devendra Kumar

Abstract

In this paper some new simple expressions for single and product moments of generalized order statistics from type II exponentiated log-logistic distribution have been obtained. The results for order statistics and record values are deduced from the relations derived and some ratio and inverse moments of generalized order statistics are also carried out. Further, a characterization result of this distribution by using the conditional expectation of generalized order statistics is discussed.

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Key concepts: Mathematics, Order statistic, Moment (physics), Statistics, Type (biology), Distribution (mathematics), Order (exchange), Logistic regression