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Age-smooth properties of mixture models

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  • Mi, Jie

Abstract

The tail behavior or age-smoothness of a lifetime distribution is an important property from both the theoretical and practical points of view. There are several ways of describing tail behavior. One is to use the failure rate, another uses the mean residual life, and a third uses the conditional survival probability. This article discusses whether a mixture of distribution functions reflects the age-smoothness property of the components making up the mixture for each of the above three type descriptors of tail behavior. Using the criteria of tail behavior, the article further defines strong and weak subpopulations, and shows that the strong subpopulation tail behavior will asymptotically dominate the mixture population and hence the reliability quality of mixture population can be improved by applying burn-in.

Suggested Citation

  • Mi, Jie, 1999. "Age-smooth properties of mixture models," Statistics & Probability Letters, Elsevier, vol. 43(3), pages 225-236, July.
    • Handle: RePEc:eee:stapro:v:43:y:1999:i:3:p:225-236
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    References listed on IDEAS

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    1. Jie Mi, 1996. "Limiting behavior of mixtures of discrete lifetime distributions," Naval Research Logistics (NRL), John Wiley & Sons, vol. 43(3), pages 365-380, April.
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