Prediction of the residual failure processes based on the process history

Ji Hwan Cha, F. G. Badía

Research output: Contribution to journalArticlepeer-review


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.

Original languageEnglish
Pages (from-to)6336-6357
Number of pages22
JournalCommunications in Statistics - Theory and Methods
Issue number13
StatePublished - 3 Jul 2017

Bibliographical note

Publisher Copyright:
© 2017 Taylor & Francis Group, LLC.


  • Prediction
  • Process history
  • Renewal process
  • Residual failure process


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