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1 results

  • On Stochastic Predictions of Failure Processes Under Population Heterogeneity

  • Part of
  • Ji Hwan Cha
  • Journal:
    Journal of Applied Probability / Volume 50 / Issue 3 / September 2013
    Published online by Cambridge University Press:
    30 January 2018, pp. 810-826
    Print publication:
    September 2013
    • Article
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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.