Applications of the generalized Polya process

Ji Hwan Cha, Maxim Finkelstein

Research output: Chapter in Book/Report/Conference proceedingChapterpeer-review


In Chap. 8, a new point process, the Generalized Polya Process (GPP), has been characterized and its simple reliability application has been discussed. The crucial distinction of the GPP from the nonhomogeneous Poisson process (NHPP) is that the former does not possess the property of independent increments, which is really appealing as many real world problems can be described via the dependent events. For instance, in various shock models, a system’s susceptibility to shocks increases with the number of shocks experienced previously and the GPP models this phenomenon. As another example, the future reliability performance of a system deteriorates faster as the number of system failures in the past increases.

Original languageEnglish
Title of host publicationSpringer Series in Reliability Engineering
PublisherSpringer London
Number of pages49
StatePublished - 2018

Publication series

NameSpringer Series in Reliability Engineering
ISSN (Print)1614-7839
ISSN (Electronic)2196-999X

Bibliographical note

Publisher Copyright:
© 2018, Springer International Publishing AG.


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