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Reliability Analysis of the Proportional Mean Departure Time Model

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  • Mansour Shrahili
  • Mohamed Kayid
  • Antonio Di Crescenzo

Abstract

In this article, the mean lifetime of an individual whose lives lost based on a function of the time before which the individual has passed away is considered. The measure is used to construct a semi-parametric model called proportional mean departure time model. Examples are given and evidences are gathered to show that the model is a proper alternative for the proportional mean past lifetime model. Closure properties of the model concerning several stochastic orders and a number of reliability properties are established. Finally, the model is extended to entertain random amounts of the parameter and establish a proportional mean departure time frailty model. Further stochastic properties using several stochastic orders are developed in the context of the frailty model.

Suggested Citation

  • Mansour Shrahili & Mohamed Kayid & Antonio Di Crescenzo, 2022. "Reliability Analysis of the Proportional Mean Departure Time Model," Journal of Mathematics, Hindawi, vol. 2022, pages 1-13, September.
    • Handle: RePEc:hin:jjmath:7349598
    DOI: 10.1155/2022/7349598
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