Continuous Mixtures with Bathtub-Shaped Failure Rates-Reference-Cited by-同舟云学术

Continuous Mixtures with Bathtub-Shaped Failure Rates

Published:2008-03 Issue:1 Volume:45 Page:260-270
ISSN:0021-9002
Container-title:Journal of Applied Probability
language:en
Short-container-title:Journal of Applied Probability

Author:

Block Henry W.,Li Yulin,Savits Thomas H.,Wang Jie

Abstract

The failure rate of a mixture of even the most standard distributions used in reliability can have a complicated shape. However, failure rates of mixtures of two carefully selected distributions will have the well-known bathtub shape. Here we show that mixtures of whole families of distribtions can have a bathtub-shaped failure rate.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference21 articles.

1. Mixture of Weibull distributions—parametric characterization of failure rate function

2. Theoretical Explanation of Observed Decreasing Failure Rate

3. Mixtures of distributions with increasing linear failure rates

4. Bathtub Shaped Failure Rates From Mixtures: A Practical Point of View

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