Failure rate, vitality, and residual lifetime measures: Characterizations based on stress-strength bivariate model with application to an automated life test data

  • M. S Eliwa Faculty of Science, Mansoura University, Mansoura 35516, Egypt
  • Abhishek Tyagi
  • Morad Alizadeh
  • Mahmoud El-Morshedy
Keywords: Bivariate distributions, Reliability analysis, Maximum likelihood method, Bayesian estimation.

Abstract

 In this article, we introduce some reliability concepts for the bivariate Pareto Type II distribution including joint hazard rate function, CDF for parallel and series systems, joint mean residual lifetime, and joint vitality function. The maximum likelihood and Bayesian estimation methods are utilized to estimate the model parameters. Simulation is carried out to assess the performance of the maximum likelihood and Bayesian estimators, and it is found that the two approaches work quite well in estimation process. Finally, a real lifetime data is analyzed to show the flexibility and the importance of the introduced bivariate mode.
Published
2023-11-17
How to Cite
Eliwa, M. S., Tyagi, A., Alizadeh, M., & El-Morshedy, M. (2023). Failure rate, vitality, and residual lifetime measures: Characterizations based on stress-strength bivariate model with application to an automated life test data. Statistics, Optimization & Information Computing, 12(1), 256-266. https://doi.org/10.19139/soic-2310-5070-1321
Section
Research Articles

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