THE FAILURE RATE SHAPE FOR A MIXTURE OF TWO GAMMAS

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

doi:10.1017/S0269964814000321

THE FAILURE RATE SHAPE FOR A MIXTURE OF TWO GAMMAS

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

Department of Statistics

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

Abstract

In this paper, we continue our investigation of the shape of the failure rate of a mixture of two densities. In our recent paper, Block, Langberg and Savits [2], we introduced a variation of Glaser's method in which we emphasized the role of the mixing parameter q. There we determined all possible shapes of the failure rate function for a mixture of one exponential and one gamma density. Here we classify all possible shapes for a mixture of two gamma densities having shape parameters b, c > 0 and scale parameters λ, μ > 0.

Original language	English
Pages (from-to)	253-264
Number of pages	12
Journal	Probability in the Engineering and Informational Sciences
Volume	29
Issue number	2
DOIs	https://doi.org/10.1017/S0269964814000321
State	Published - 2 Mar 2015

Bibliographical note

Publisher Copyright:
Copyright © Cambridge University Press 2015.

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty
Management Science and Operations Research
Industrial and Manufacturing Engineering

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Cite this

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abstract = "In this paper, we continue our investigation of the shape of the failure rate of a mixture of two densities. In our recent paper, Block, Langberg and Savits [2], we introduced a variation of Glaser's method in which we emphasized the role of the mixing parameter q. There we determined all possible shapes of the failure rate function for a mixture of one exponential and one gamma density. Here we classify all possible shapes for a mixture of two gamma densities having shape parameters b, c > 0 and scale parameters λ, μ > 0.",

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THE FAILURE RATE SHAPE FOR A MIXTURE OF TWO GAMMAS

Abstract

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