On history-dependent mixed shock models

Goyal, Dheeraj and Finkelstein, Maxim and Hazra, Nil Kamal (2021) On history-dependent mixed shock models. Probability in the Engineering and Informational Sciences. (https://doi.org/10.1017/S0269964821000255)

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Abstract

In this paper, we consider a history-dependent mixed shock model which is a combination of the history-dependent extreme shock model and the history-dependent -shock model. We assume that shocks occur according to the generalized Pólya process that contains the homogeneous Poisson process, the non-homogeneous Poisson process and the Pólya process as the particular cases. For the defined survival model, we derive the corresponding survival function, the mean lifetime and the failure rate. Further, we study the asymptotic and monotonicity properties of the failure rate. Finally, some applications of the proposed model have also been included with relevant numerical examples.

  • Item type:Article
    ID code:79137
    Dates:
    Date
    Event
    6 August 2021
    Published
    6 August 2021
    Published Online
    22 June 2021
    Accepted
    Keywords:extreme shock model, optimal mission duration, optimal replacement policy, reliability, Management. Industrial Management, Management Science and Operations Research, Industrial and Manufacturing Engineering, Statistics and Probability, Statistics, Probability and Uncertainty
    Subjects:Social Sciences > Industries. Land use. Labor > Management. Industrial Management
    Department:Strathclyde Business School > Business Faculty Services
    Depositing user: Pure Administrator
    Date deposited:14 Jan 2022 11:16
    Last modified:25 Mar 2023 04:31
    URI:https://strathprints.strath.ac.uk/id/eprint/79137
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