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

Bara Kim, Jeongsim Kim

Research output: Contribution to journalArticle

### 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 652-658 7 Journal of Applied Probability 55 2 https://doi.org/10.1017/jpr.2018.40 Published - 2018 Jun 1

### Fingerprint

Hazard Rate Ordering
Order Statistics
Open Problems
Random variable
Hazard Rate Order
Hazard rate
Random variables
Order statistics

### Keywords

• Hazard rate order
• order statistics
• parallel system

### ASJC Scopus subject areas

• Statistics and Probability
• Mathematics(all)
• Statistics, Probability and Uncertainty

### Cite this

In: Journal of Applied Probability, Vol. 55, No. 2, 01.06.2018, p. 652-658.

Research output: Contribution to journalArticle

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