On some general survival models with delayed failures

Ji Hwan Cha, Maxim Finkelstein

Research output: Contribution to journalArticlepeer-review


In practice, the point events (e.g., shocks) affecting a system often result in some consequences only after some random delays. In this paper, we generalize the previous results reported in the literature to a meaningful case of the generalized Polya process of initial shocks, which is characterized by dependent increments. We derive and analyze the distribution of the lifetime and the failure rate of a system. Generalizations to the cases when each initial shock triggers the delay only with a given probability and when it results in the corresponding wear process are also considered.

Original languageEnglish
JournalCommunications in Statistics - Theory and Methods
StateAccepted/In press - 2021

Bibliographical note

Funding Information:
The work of the first author was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education (Grant Number: 2019R1A6A1A11051177).

Publisher Copyright:
© 2021 Taylor & Francis Group, LLC.


  • Poisson process
  • Shocks
  • delayed failure
  • generalized Polya process


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