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CHARACTERIZATION ORDERING RESULTS FOR LARGEST ORDER STATISTICS FROM HETEROGENEOUS AND HOMOGENEOUS EXPONENTIATED GENERALIZED GAMMA VARIABLES

Published online by Cambridge University Press:  27 June 2018

Abedin Haidari  and
Amir T. Payandeh Najafabadi
Abedin Haidari
Affiliation:
Department of Mathematical Sciences, Shahid Beheshti University, G.C. Evin, 1983963113, Tehran, Iran E-mail: abedinhaidari@yahoo.com, amirtpayandeh@sbu.ac.ir
Amir T. Payandeh Najafabadi
Affiliation:
Department of Mathematical Sciences, Shahid Beheshti University, G.C. Evin, 1983963113, Tehran, Iran E-mail: abedinhaidari@yahoo.com, amirtpayandeh@sbu.ac.ir
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Abstract

The main aim of this paper is to present two new results concerning the characterization of likelihood ratio and reversed hazard rate orders between largest order statistics from two sets of independent heterogeneous and homogeneous exponentiated generalized gamma distributed random variables. These characterization results complete and strengthen some previous ones in the literature.

Keywords

characterizationexponentiated generalized gamma distributionlikelihood ratio orderreversed hazard rate orderweighted arithmetic mean
Type
Research Article
Information
Probability in the Engineering and Informational Sciences , Volume 33 , Issue 3 , July 2019 , pp. 460 - 470
Copyright
Copyright © Cambridge University Press 2018 

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