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Bayesian Reliability Analysis of Marshall and Olkin Model

Author

Listed:
  • Mohammed H. AbuJarad

    (AMU)

  • Athar Ali Khan

    (AMU)

  • Mundher A. Khaleel

    (University of Tikrit)

  • Eman S. A. AbuJarad

    (AMU)

  • Ali H. AbuJarad

    (Gaza University)

  • Pelumi E. Oguntunde

    (Covenant University)

Abstract

In this paper, an endeavor has been made to fit three distributions Marshall–Olkin with exponential distributions, Marshall–Olkin with exponentiated exponential distributions and Marshall–Olkin with exponentiated extension distribution keeping in mind the end goal to actualize Bayesian techniques to examine visualization of prognosis of women with breast cancer and demonstrate through utilizing Stan. Stan is an abnormal model dialect for Bayesian displaying and deduction. This model applies to a genuine survival controlled information with the goal that every one of the ideas and calculations will be around similar information. Stan code has been created and enhanced to actualize a censored system all through utilizing Stan technique. Moreover, parallel simulation tools are also implemented and additionally actualized with a broad utilization of rstan.

Suggested Citation

  • Mohammed H. AbuJarad & Athar Ali Khan & Mundher A. Khaleel & Eman S. A. AbuJarad & Ali H. AbuJarad & Pelumi E. Oguntunde, 2020. "Bayesian Reliability Analysis of Marshall and Olkin Model," Annals of Data Science, Springer, vol. 7(3), pages 461-489, September.
    • Handle: RePEc:spr:aodasc:v:7:y:2020:i:3:d:10.1007_s40745-019-00234-3
    DOI: 10.1007/s40745-019-00234-3
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    References listed on IDEAS

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    1. Carpenter, Bob & Gelman, Andrew & Hoffman, Matthew D. & Lee, Daniel & Goodrich, Ben & Betancourt, Michael & Brubaker, Marcus & Guo, Jiqiang & Li, Peter & Riddell, Allen, 2017. "Stan: A Probabilistic Programming Language," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 76(i01).
    2. Garib Nath Singh & Mohd Khalid, 2015. "Exponential chain dual to ratio and regression type estimators of population mean in two-phase sampling," Statistica, Department of Statistics, University of Bologna, vol. 75(4), pages 379-389.
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    Cited by:

    1. Mohamed Ibrahim & M. Masoom Ali & Haitham M. Yousof, 2023. "The Discrete Analogue of the Weibull G Family: Properties, Different Applications, Bayesian and Non-Bayesian Estimation Methods," Annals of Data Science, Springer, vol. 10(4), pages 1069-1106, August.

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