Maxim Finkelstein, Ji Hwan Cha

Research output: Contribution to journalArticlepeer-review


The new reliability notion describing the remaining lifetime is introduced for items with monotonically increasing degradation. We consider the remaining lifetime of an item (to be called, the predicted remaining lifetime) after its degradation reaches the predetermined level. The prediction is executed at inception of an item into operation. For the nonhomogeneous stochastic processes of degradation, this characteristic depends on the random first passage time of a degradation process. Some properties of the predicted remaining lifetime and the corresponding stochastic comparisons are discussed for items from homogeneous and heterogeneous populations, and a generalization to the case of the n-component coherent system is outlined. The problem of regime switching is described, and the new notion of the corresponding virtual age after the switching is proposed.

Original languageEnglish
Pages (from-to)812-823
Number of pages12
JournalProbability in the Engineering and Informational Sciences
Issue number3
StatePublished - 1 Jul 2022

Bibliographical note

Publisher Copyright:
Copyright © The Author(s), 2021. Published by Cambridge University Press.


  • first passage time
  • gamma process
  • stochastic comparisons
  • virtual age


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