Competing Between Two Groups of Individuals Following Frailty Models

Xiaohu Li (), Gaofeng Da and Peng Zhao
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Xiaohu Li: Xiamen University
Gaofeng Da: Lanzhou University
Peng Zhao: Lanzhou University

Methodology and Computing in Applied Probability, 2012, vol. 14, issue 4, 1033-1051

Abstract: 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; Primary 60E15; Secondary 60K10; 62N05 (search for similar items in EconPapers)
Date: 2012
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s11009-011-9218-y

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