107
Views
0
CrossRef citations to date
0
Altmetric
Articles

On some general survival models with delayed failures

&
Pages 7911-7928 | Received 08 Sep 2020, Accepted 27 Jan 2021, Published online: 25 Feb 2021
 

Abstract

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.

Additional information

Funding

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).

Log in via your institution

Log in to Taylor & Francis Online

PDF download + Online access

  • 48 hours access to article PDF & online version
  • Article PDF can be downloaded
  • Article PDF can be printed
USD 61.00 Add to cart

Issue Purchase

  • 30 days online access to complete issue
  • Article PDFs can be downloaded
  • Article PDFs can be printed
USD 1,069.00 Add to cart

* Local tax will be added as applicable

Related Research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.