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.
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Supported by National Natural Science Foundation of China (10771090).
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Li, X., Da, G. & Zhao, P. Competing Between Two Groups of Individuals Following Frailty Models. Methodol Comput Appl Probab 14, 1033–1051 (2012). https://doi.org/10.1007/s11009-011-9218-y
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DOI: https://doi.org/10.1007/s11009-011-9218-y