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On Stochastic Predictions of Failure Processes Under Population Heterogeneity

Part of: Special processes Applications

Published online by Cambridge University Press:  30 January 2018

Ji Hwan Cha
Ji Hwan Cha*
Affiliation:
Ewha Womans University
*
∗ Postal address: Department of Statistics, Ewha Womans University, Seoul, 120-750, Korea. Email address: jhcha@ewha.ac.kr
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Abstract

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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.

Keywords

Failure processrepairable itemheterogeneous populationstochastic predictionprocess historystochastic intensity

MSC classification

Primary: 60K10: Applications (reliability, demand theory, etc.)
Secondary: 62P30: Applications in engineering and industry
Type
Research Article
Information
Journal of Applied Probability , Volume 50 , Issue 3 , September 2013 , pp. 810 - 826
Copyright
© Applied Probability Trust 

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