Application of the generalized Polya process to two types of shock models

Ji Hwan Cha; Hyunju Lee

doi:10.1063/1.5114493

Application of the generalized Polya process to two types of shock models

Ji Hwan Cha, Hyunju Lee

Department of Statistics

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

1 Scopus citations

Abstract

Point process is very useful tool in reliability applications. Until now, the nonhomogeneous Poisson process has taken very important role in reliability area as a useful model for arrival process. The generalized Polya process (GPP) has been recently introduced and characterized in the literature. Distinct from the nonhomogeneous Poisson process, the important feature of this process is the dependence of its future behavior on the number of previous events. In this article, we briefly introduce the GPP and discuss its applications to two types of shock models.

Original language	English
Title of host publication	International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018
Editors	T.E. Simos, T.E. Simos, T.E. Simos, T.E. Simos, Ch. Tsitouras, T.E. Simos
Publisher	American Institute of Physics Inc.
ISBN (Electronic)	9780735418547
DOIs	https://doi.org/10.1063/1.5114493
State	Published - 24 Jul 2019
Event	International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018 - Rhodes, Greece Duration: 13 Sep 2018 → 18 Sep 2018

Publication series

Name	AIP Conference Proceedings
Volume	2116
ISSN (Print)	0094-243X
ISSN (Electronic)	1551-7616

Conference

Conference	International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018
Country/Territory	Greece
City	Rhodes
Period	13/09/18 → 18/09/18

Bibliographical note

Publisher Copyright:
© 2019 Author(s).

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10.1063/1.5114493

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Cha, J. H., & Lee, H. (2019). Application of the generalized Polya process to two types of shock models. In T. E. Simos, T. E. Simos, T. E. Simos, T. E. Simos, C. Tsitouras, & T. E. Simos (Eds.), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018 Article 450026 (AIP Conference Proceedings; Vol. 2116). American Institute of Physics Inc.. https://doi.org/10.1063/1.5114493

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Cha, JH & Lee, H 2019, Application of the generalized Polya process to two types of shock models. in TE Simos, TE Simos, TE Simos, TE Simos, C Tsitouras & TE Simos (eds), International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018., 450026, AIP Conference Proceedings, vol. 2116, American Institute of Physics Inc., International Conference on Numerical Analysis and Applied Mathematics 2018, ICNAAM 2018, Rhodes, Greece, 13/09/18. https://doi.org/10.1063/1.5114493

Application of the generalized Polya process to two types of shock models. / Cha, Ji Hwan; Lee, Hyunju.
International Conference on Numerical Analysis and Applied Mathematics, ICNAAM 2018. ed. / T.E. Simos; T.E. Simos; T.E. Simos; T.E. Simos; Ch. Tsitouras; T.E. Simos. American Institute of Physics Inc., 2019. 450026 (AIP Conference Proceedings; Vol. 2116).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

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AB - Point process is very useful tool in reliability applications. Until now, the nonhomogeneous Poisson process has taken very important role in reliability area as a useful model for arrival process. The generalized Polya process (GPP) has been recently introduced and characterized in the literature. Distinct from the nonhomogeneous Poisson process, the important feature of this process is the dependence of its future behavior on the number of previous events. In this article, we briefly introduce the GPP and discuss its applications to two types of shock models.

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Application of the generalized Polya process to two types of shock models

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