Competing Between Two Groups of Individuals Following Frailty Models

Xiaohu Li; Gaofeng Da; Peng Zhao

doi:10.1007/s11009-011-9218-y

Competing Between Two Groups of Individuals Following Frailty Models

Xiaohu Li
, Gaofeng Da
, Peng Zhao

Department of Mathematical Sciences

Lanzhou University

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

5 Scopus citations

Abstract

This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.

Original language	English
Pages (from-to)	1033-1051
Number of pages	19
Journal	Methodology and Computing in Applied Probability
Volume	14
Issue number	4
DOIs	https://doi.org/10.1007/s11009-011-9218-y
State	Published - Dec 2012

Keywords

Multivariate frailty model
POD dependent
Stochastic orders

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10.1007/s11009-011-9218-y

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title = "Competing Between Two Groups of Individuals Following Frailty Models",

abstract = "This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.",

keywords = "Multivariate frailty model, POD dependent, Stochastic orders",

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AU - Da, Gaofeng

AU - Zhao, Peng

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N2 - This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.

AB - This paper studies the competing system between two groups of individuals, each of them follows multivariate frailty models. We investigate the distribution of the number of individuals in one group to survive some failure in the other group and how the frailty vector of each group has an impact on the distribution by using stochastic comparisons. Applications in candidates selection by ranking and engineering reliability are presented as well.

KW - Multivariate frailty model

KW - POD dependent

KW - Stochastic orders

UR - https://www.scopus.com/pages/publications/84867897100

UR - https://www.scopus.com/pages/publications/84867897100#tab=citedBy

U2 - 10.1007/s11009-011-9218-y

DO - 10.1007/s11009-011-9218-y

M3 - Article

AN - SCOPUS:84867897100

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VL - 14

SP - 1033

EP - 1051

JO - Methodology and Computing in Applied Probability

JF - Methodology and Computing in Applied Probability

IS - 4

ER -

Competing Between Two Groups of Individuals Following Frailty Models

Abstract

Keywords

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