Reversed hazard rate order of equilibrium distributions and a related aging notion

Xiaohu Li; Maochao Xu

doi:10.1007/s00362-007-0046-7

Reversed hazard rate order of equilibrium distributions and a related aging notion

Xiaohu Li, Maochao Xu

Department of Mathematical Sciences

Portland State University

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

46 Scopus citations

Abstract

This paper deals with preservation of the reversed hazard rate order between equilibrium random variables under formations of some reliability structures. We further investigate a new aging notion based upon the reversed hazard rate order between a random life and its equilibrium version. A nonparametric method is developed to test the exponentiality against such a strict aging property, some numerical results are presented as well.

Original language	English
Pages (from-to)	749-767
Number of pages	19
Journal	Statistical Papers
Volume	49
Issue number	4
DOIs	https://doi.org/10.1007/s00362-007-0046-7
State	Published - Oct 2008

Keywords

DMRL
IFRA
Likelihood ratio order
NBRUrh
Nonhomogeneous Poisson shock model
Parallel
Series
TTT plot
U-statistics

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10.1007/s00362-007-0046-7

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AB - This paper deals with preservation of the reversed hazard rate order between equilibrium random variables under formations of some reliability structures. We further investigate a new aging notion based upon the reversed hazard rate order between a random life and its equilibrium version. A nonparametric method is developed to test the exponentiality against such a strict aging property, some numerical results are presented as well.

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KW - Likelihood ratio order

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KW - Nonhomogeneous Poisson shock model

KW - Parallel

KW - Series

KW - TTT plot

KW - U-statistics

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JO - Statistical Papers

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Reversed hazard rate order of equilibrium distributions and a related aging notion

Abstract

Keywords

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