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Prediction of the residual failure processes based on the process history

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  • Ji Hwan Cha
  • F. G. Badía

Abstract

In the reliability area, the concept of the residual lifetime of a non repairable system is very important and its property has been intensively studied. In this article, we define the “residual failure process” for a repairable system and study its stochastic properties thoroughly. The detailed discussions are given when the corresponding failure process is a renewal process. An illustrative example is also discussed.

Suggested Citation

  • Ji Hwan Cha & F. G. Badía, 2017. "Prediction of the residual failure processes based on the process history," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(13), pages 6336-6357, July.
  • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:13:p:6336-6357
    DOI: 10.1080/03610926.2015.1122059
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