Bayesian Reliability Analysis of Marshall and Olkin Model

  • Mohammed H. AbuJaradEmail author
  • Athar Ali Khan
  • Mundher A. Khaleel
  • Eman S. A. AbuJarad
  • Ali H. AbuJarad
  • Pelumi E. Oguntunde


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.


Marshall–Olkin with exponential Marshall–Olkin with exponentiated exponential Marshall–Olkin with exponentiated extension Posterior Simulation rstan Bayesian inference HMC 



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© Springer-Verlag GmbH Germany, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Statistics and Operations ResearchAMUAligarhIndia
  2. 2.Department of MathematicsAMUAligarhIndia
  3. 3.Gaza UniversityGazaPalestine
  4. 4.Department of Mathematics, Faculty of Computer Science and MathematicsUniversity of TikritTikrītIraq
  5. 5.Department of MathematicsCovenant UniversityOtaNigeria

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