On a terminating renewal shock process with an independent wear process

Ji Hwan Cha, Maxim Finkelstein

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3 Scopus citations


In this article, we study shock models that can stochastically describe, for example, collapses of different structures. For this purpose, we consider a combination of an extreme shock model and a specific cumulative shock model, where shocks occur according to a renewal process. A new interpretation of the previous shock model studied by the authors, where shocks arrive according to a nonhomogeneous Poisson process, is given. Based on this interpretation, the results are extended to the case when the shock process follows a renewal process. Some examples are discussed.

Original languageEnglish
Pages (from-to)403-408
Number of pages6
JournalStructure and Infrastructure Engineering
Issue number4
StatePublished - Feb 2012

Bibliographical note

Funding Information:
The authors would like to thank the referees and the Editor for very helpful and careful comments and suggestions, which have considerably improved the presentation of this article. The work of the first author was supported by Priority Research Centers Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2009-0093827). The work of the second author was supported by the NRF (National Research Foundation of South Africa) grant FA2006040700002.


  • cumulative shock model
  • extreme shock model
  • failures
  • memoryless property
  • reliability
  • renewal shock process
  • repair
  • wear


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