UNIMODALITY OF DISTRIBUTION OF GENERALIZED ORDER STATISTICS

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Türkiye İstatistik Derneği Dergisi
Volume:10 Issue:2
UNIMODALITY OF DISTRIBUTION OF GENERALIZED ORDER STATISTICS

UNIMODALITY OF DISTRIBUTION OF GENERALIZED ORDER STATISTICS

Authors : Fazli ALİEV, Sevgi YURT ONCEL

Pages : 40-44

View : 45 | Download : 10

Publication Date : 2017-07-31

Article Type : Research Paper

Abstract :Unimodality of the distribution of Generalized Order Statistics insert ignore into journalissuearticles values(GOSs); has a substantial role in many parameter and con dence interval problems of statistics, actuarial science and economics. Under some restrictions on model parameters and distributions a number of authors have shown unimodality of distribution of GOSs. In this article, we present some new results on unimodality of distribution of GOSs that extend and generalize recently obtained results. A counter example showing that the conditions of the main Theorem are minimal is also provided.
Keywords : Convexity, Generalized Order Statistics, Order Statistics, Record Values, Unimodality

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