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December 2012 A Glaser twist: focus on the mixture parameters
Henry W. Block, Naftali A. Langberg, Thomas H. Savits
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J. Appl. Probab. 49(4): 1144-1155 (December 2012). DOI: 10.1239/jap/1354716663

Abstract

In this paper we introduce a variation on Glaser's method for determining the shape of the failure rate function of a mixture. It has often been seen that the shape of the failure rate depends on the mixing parameter q. Our method provides an explanation for this phenomenon. We then illustrate our technique with the mixture of an exponential and a gamma density for all possible cases.

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Henry W. Block. Naftali A. Langberg. Thomas H. Savits. "A Glaser twist: focus on the mixture parameters." J. Appl. Probab. 49 (4) 1144 - 1155, December 2012. https://doi.org/10.1239/jap/1354716663

Information

Published: December 2012
First available in Project Euclid: 5 December 2012

zbMATH: 1254.62105
MathSciNet: MR3058994
Digital Object Identifier: 10.1239/jap/1354716663

Subjects:
Primary: 62N05

Keywords: bathtub failure rate , Failure rate function , reliability

Rights: Copyright © 2012 Applied Probability Trust

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Vol.49 • No. 4 • December 2012
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