Asymptotic behavior of mixture failure rates

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

No WP-2005-023, MPIDR Working Papers from Max Planck Institute for Demographic Research, Rostock, Germany

Abstract: Mixtures of increasing failure rate distributions (IFR) can decrease at least in some intervals of time. Usually this property is observed asymptotically as time tends to infinity , which is due to the fact that a mixture failure rate is ‘bent down’, as the weakest populations are dying out first. We consider a survival model, generalizing a very well known in reliability and survival analysis additive hazards, proportional hazards and accelerated life models. We obtain new explicit asymptotic relations for a general setting and study specific cases. Under reasonable assumptions we prove that asymptotic behavior of the mixture failure rate depends only on the behavior of the mixing distri-bution in the neighborhood of the left end point of its support and not on the whole mixing distribution.

JEL-codes: J1 Z0 (search for similar items in EconPapers)
Pages: 28 pages
Date: 2005
New Economics Papers: this item is included in nep-ecm
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:dem:wpaper:wp-2005-023

DOI: 10.4054/MPIDR-WP-2005-023

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