On asymptotic failure rates in bivariate frailty competing risks models

Maxim S. Finkelstein and Veronica Esaulova
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Maxim S. Finkelstein: Max Planck Institute for Demographic Research, Rostock, Germany

No WP-2006-023, MPIDR Working Papers from Max Planck Institute for Demographic Research, Rostock, Germany

Abstract: A bivariate competing risks problem is considered for a rather general class of survival models. The lifetime distribution of each component is indexed by a frailty parameter. Under the assumption of conditional independence of components the correlated frailty model is considered. The explicit asymptotic formula for the mixture failure rate of a system is derived. It is proved that asymptotically the remaining lifetimes of components tend to be independent in the defined sense. Some simple examples are discussed.

JEL-codes: J1 Z0 (search for similar items in EconPapers)
Pages: 12 pages
Date: 2006
New Economics Papers: this item is included in nep-bec and nep-ecm
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Persistent link: https://EconPapers.repec.org/RePEc:dem:wpaper:wp-2006-023

DOI: 10.4054/MPIDR-WP-2006-023

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