Extreme shock model with change point based on the Poisson process of shocks

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

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Detail(s)

Original languageEnglish
Journal / PublicationApplied Stochastic Models in Business and Industry
Online published15 Jun 2024
Publication statusOnline published - 15 Jun 2024

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DOI

DOI
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Link to Scopus https://www.scopus.com/record/display.uri?eid=2-s2.0-85196076563&origin=recordpage
Permanent Link https://scholars.cityu.edu.hk/en/publications/publication(3b944541-4110-48f2-9778-e3a897b5e481).html

Abstract

In this article, we introduce and study an extreme shock model in which the distribution of magnitude of shocks can change due to environmental effects. A new decision parameter is used to model the change point, and the non-homogeneous Poisson process is employed to model the arrival of shocks. We derive the reliability function and mean time to system failure for the defined model. Furthermore, we propose an optimal age replacement policy. The results are illustrated when the change point follows the Erlang distribution. © 2024 John Wiley & Sons Ltd.

Research Area(s)

  • age replacement policy, change point, extreme shock model, non-homogeneous Poisson process, reliability

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Publication fingerprints text

100
Shock Keyphrases
100
Poisson Process Keyphrases
100
Point-based Keyphrases
100
Extreme Shock Model Keyphrases
100
Points Mathematics
100
Shock Model Mathematics
100
distribution INIS
50
failures INIS
50
reliability INIS
50
policy INIS
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Citation Format(s)

[ RIS ] [ BibTeX ]
Extreme shock model with change point based on the Poisson process of shocks. / Goyal, Dheeraj; Xie, Min.
In: Applied Stochastic Models in Business and Industry, 15.06.2024.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review