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HAZARD RATE ORDERING OF THE LARGEST ORDER STATISTICS FROM GEOMETRIC RANDOM VARIABLES

Authors
Kim, BaraKim, Jeongsim
Issue Date
6월-2018
Publisher
CAMBRIDGE UNIV PRESS
Keywords
Hazard rate order; order statistics; parallel system
Citation
JOURNAL OF APPLIED PROBABILITY, v.55, no.2, pp.652 - 658
Indexed
SCIE
SCOPUS
Journal Title
JOURNAL OF APPLIED PROBABILITY
Volume
55
Number
2
Start Page
652
End Page
658
URI
https://scholar.korea.ac.kr/handle/2021.sw.korea/75074
DOI
10.1017/jpr.2018.40
ISSN
0021-9002
Abstract
Mao and Hu (2010) left an open problem about the hazard rate order between the largest order statistics from two samples of n geometric random variables. Du et al. (2012) solved this open problem when n = 2, and Wang (2015) solved for 2 <= n <= 9. In this paper we completely solve this problem for any value of n.
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