September 2015 The limiting failure rate for a convolution of life distributions
Henry W. Block, Naftali A. Langberg, Thomas H. Savits
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J. Appl. Probab. 52(3): 894-898 (September 2015). DOI: 10.1239/jap/1445543854

Abstract

In this paper we investigate the limiting behavior of the failure rate for the convolution of two or more life distributions. In a previous paper on mixtures, Block, Mi and Savits (1993) showed that the failure rate behaves like the limiting behavior of the strongest component. We show a similar result here for convolutions. We also show by example that unlike a mixture population, the ultimate direction of monotonicity does not necessarily follow that of the strongest component.

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Henry W. Block. Naftali A. Langberg. Thomas H. Savits. "The limiting failure rate for a convolution of life distributions." J. Appl. Probab. 52 (3) 894 - 898, September 2015. https://doi.org/10.1239/jap/1445543854

Information

Published: September 2015
First available in Project Euclid: 22 October 2015

zbMATH: 1323.62100
MathSciNet: MR3414999
Digital Object Identifier: 10.1239/jap/1445543854

Subjects:
Primary: 62N05
Secondary: 60K10

Keywords: convolution , decreasing failure rate , Failure rate function , increasing failure rate , reliability

Rights: Copyright © 2015 Applied Probability Trust

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Vol.52 • No. 3 • September 2015
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