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Stochastic Aspects of Proportional Vitalities Model

Author

Listed:
  • 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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    2. David J. Sharrow & James J. Anderson, 2016. "Quantifying Intrinsic and Extrinsic Contributions to Human Longevity: Application of a Two-Process Vitality Model to the Human Mortality Database," Demography, Springer;Population Association of America (PAA), vol. 53(6), pages 2105-2119, December.
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    6. Majid Rezaei, 2016. "On proportional mean past lifetimes model," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 45(14), pages 4035-4047, July.
    7. M. Kayid & S. Izadkhah & H. Alhalees, 2014. "Reliability Analysis of the Proportional Mean Residual Life Order," Mathematical Problems in Engineering, Hindawi, vol. 2014, pages 1-8, August.
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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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