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Stochastic Aspects of Proportional Vitalities Model

Author

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  • Mansour Shrahili

    (Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia)

  • Abdulhakim A. Albabtain

    (Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia)

  • Mohamed Kayid

    (Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia
    Department of Mathematics and Computer Science, Faculty of Science, Suez University, Suez 43511, Egypt)

  • Zahra Kaabi

    (Department of Statistics and Operations Research, College of Science, King Saud University, Riyadh 11362, Saudi Arabia)

Abstract

In this paper, a family of models requiring proportional mean life vitalities is considered. The problem of estimation of the parameter(s) of the model is studied in two cases of known and unknown baselines along with some simulation studies to detect the adequacy of fitting. Closure and preservation properties of some ageing classes and stochastic orders are derived.

Suggested Citation

  • Mansour Shrahili & Abdulhakim A. Albabtain & Mohamed Kayid & Zahra Kaabi, 2020. "Stochastic Aspects of Proportional Vitalities Model," Mathematics, MDPI, vol. 8(10), pages 1-14, October.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:10:p:1823-:d:430545
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    References listed on IDEAS

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    Cited by:

    1. Chrys Caroni, 2022. "Regression Models for Lifetime Data: An Overview," Stats, MDPI, vol. 5(4), pages 1-11, December.

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