Hazard rate ordering of the largest order statistics from geometric random variables

Bara Kim; Jeongsim Kim

doi:10.1017/jpr.2018.40

Hazard rate ordering of the largest order statistics from geometric random variables

Bara Kim
, Jeongsim Kim^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	652-658
Number of pages	7
Journal	Journal of Applied Probability
Volume	55
Issue number	2
DOIs	https://doi.org/10.1017/jpr.2018.40
Publication status	Published - 2018 Jun 1

Keywords

Hazard rate order
order statistics
parallel system

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1017/jpr.2018.40

Cite this

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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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AB - 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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KW - parallel system

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JO - Journal of Applied Probability

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ER -

Hazard rate ordering of the largest order statistics from geometric random variables

Abstract

Keywords

ASJC Scopus subject areas

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