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Limiting behavior of mixtures of discrete lifetime distributions

โœ Scribed by Jie Mi

Publisher
John Wiley and Sons
Year
1996
Tongue
English
Weight
590 KB
Volume
43
Category
Article
ISSN
0894-069X

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โœฆ Synopsis

In this article a mixture of discrete lifetime distributions is considered. Sufficient conditions are given for establishing results on the limiting behavior of the failure rate of the mixture.

A connection between this limiting behavior and burn in is shown. The limiting behavior of the mean residual life of the mixture is also considered. The mixed Poisson, geometric, negative binomial, and Weibull distributions are discussed.

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We present an integral test to determine the limiting behavior of weighted sums of independent, symmetric random variables with stable distributions, and deduce Chover-type laws of the iterated logarithm for them.