Stochastic comparison on general inactivity time and general residual life of k-out-of-n systems

Xiaohu Li; Peng Zhao

doi:10.1080/03610910801943784

Stochastic comparison on general inactivity time and general residual life of k-out-of-n systems

Xiaohu Li
, Peng Zhao

Department of Mathematical Sciences

Lanzhou University

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

58 Scopus citations

Abstract

This paper conducts stochastic comparison on general residual life and general inactivity time of (n-k+1)-out-of-n systems and investigates the stochastic behavior of the general inactivity time of a system with units having decreasing reversed hazard rate. These results strengthen some conclusions in both Khaledi and Shaked (2006) and Hu et al. (2007).

Original language	English
Pages (from-to)	1005-1019
Number of pages	15
Journal	Communications in Statistics: Simulation and Computation
Volume	37
Issue number	5
DOIs	https://doi.org/10.1080/03610910801943784
State	Published - May 2008

Keywords

DRHR
Hazard rate order
Likelihood ratio order
Reversed hazard rate order
SR
Stochastic order
TP

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10.1080/03610910801943784

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abstract = "This paper conducts stochastic comparison on general residual life and general inactivity time of (n-k+1)-out-of-n systems and investigates the stochastic behavior of the general inactivity time of a system with units having decreasing reversed hazard rate. These results strengthen some conclusions in both Khaledi and Shaked (2006) and Hu et al. (2007).",

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AB - This paper conducts stochastic comparison on general residual life and general inactivity time of (n-k+1)-out-of-n systems and investigates the stochastic behavior of the general inactivity time of a system with units having decreasing reversed hazard rate. These results strengthen some conclusions in both Khaledi and Shaked (2006) and Hu et al. (2007).

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KW - Hazard rate order

KW - Likelihood ratio order

KW - Reversed hazard rate order

KW - SR

KW - Stochastic order

KW - TP

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DO - 10.1080/03610910801943784

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JO - Communications in Statistics: Simulation and Computation

JF - Communications in Statistics: Simulation and Computation

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ER -

Stochastic comparison on general inactivity time and general residual life of k-out-of-n systems

Abstract

Keywords

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