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September 2013 On stochastic predictions of failure processes under population heterogeneity
Ji Hwan Cha
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J. Appl. Probab. 50(3): 810-826 (September 2013). DOI: 10.1239/jap/1378401238

Abstract

In reliability a number of failure processes for repairable items are described by point processes, depending on the types of repairs being performed on failures of items. In this paper we describe the failure processes of repairable items from heterogeneous populations and study the stochastic predictions of future processes which utilize the failure/repair history. Two types of repair processes, perfect and minimal repair processes, will be considered. The results will be derived under a general stochastic formulation/setting. Applications of the obtained results to many different areas will be discussed and, specifically, some reliability applications will be illustrated in detail.

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Ji Hwan Cha. "On stochastic predictions of failure processes under population heterogeneity." J. Appl. Probab. 50 (3) 810 - 826, September 2013. https://doi.org/10.1239/jap/1378401238

Information

Published: September 2013
First available in Project Euclid: 5 September 2013

zbMATH: 1274.60261
MathSciNet: MR3102516
Digital Object Identifier: 10.1239/jap/1378401238

Subjects:
Primary: 60K10
Secondary: 62P30

Rights: Copyright © 2013 Applied Probability Trust

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Vol.50 • No. 3 • September 2013
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