Continuous mixtures of exponentials and IFR gammas having bathtub-shaped failure rates

Henry W. Block; Naftali A. Langberg; Thomas H. Savits; Jie Wang

doi:10.1239/jap/1294170507

Continuous mixtures of exponentials and IFR gammas having bathtub-shaped failure rates

Henry W. Block, Naftali A. Langberg, Thomas H. Savits, Jie Wang

Department of Statistics

Research output: Contribution to journal › Article › peer-review

Abstract

It can be seen that a mixture of an exponential distribution and a gamma distribution with increasing failure rate for the right choice of parameters can yield a distribution with a bathtub-shaped failure rate. In this paper we consider a continuous mixture of exponentials and a continuous mixture of gammas with increasing failure rates and show that the resulting mixture has a bathtub-shaped failure rate.

Original language	English
Pages (from-to)	899-907
Number of pages	9
Journal	Journal of Applied Probability
Volume	47
Issue number	4
DOIs	https://doi.org/10.1239/jap/1294170507
State	Published - Dec 2010

Keywords

Bathtub failure rate
Failure rate function
Reliability

ASJC Scopus subject areas

Statistics and Probability
General Mathematics
Statistics, Probability and Uncertainty

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10.1239/jap/1294170507

Cite this

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abstract = "It can be seen that a mixture of an exponential distribution and a gamma distribution with increasing failure rate for the right choice of parameters can yield a distribution with a bathtub-shaped failure rate. In this paper we consider a continuous mixture of exponentials and a continuous mixture of gammas with increasing failure rates and show that the resulting mixture has a bathtub-shaped failure rate.",

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AU - Wang, Jie

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KW - Reliability

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Continuous mixtures of exponentials and IFR gammas having bathtub-shaped failure rates

Abstract

Keywords

ASJC Scopus subject areas

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