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.
Original language | English |
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Pages (from-to) | 6336-6357 |
Number of pages | 22 |
Journal | Communications in Statistics - Theory and Methods |
Volume | 46 |
Issue number | 13 |
DOIs | |
State | Published - 3 Jul 2017 |
Bibliographical note
Publisher Copyright:© 2017 Taylor & Francis Group, LLC.
Keywords
- Prediction
- Process history
- Renewal process
- Residual failure process