Estimation of stress–strength reliability for Maxwell distribution under progressive type-II censoring scheme

  • Sachin Chaudhary
  • Sanjeev K. TomerEmail author
Original Article


This paper deals with the estimation of stress–strength reliability \(P=P[Y<X]\), when the strength X and stress Y both follow Maxwell distribution with different parameters. We obtain maximum likelihood and Bayes estimates of P using progressive type-II censored samples. We also provide procedures to evaluate asymptotic and bootstrap confidential intervals, as well as, Bayesian credible and highest posterior density intervals for P. We present simulation study and analyze a real data set for numerical illustrations.


Asymptotic confidence intervals Bayes estimator Bootstrap Credible intervals Highest posterior density Maximum likelihood estimator Stress–strength model 



We are thankful to the editor and reviewers for their helpful suggestions that greatly improved the original manuscript. The first author’s research work is supported by University Grant Commission in the form of Basic Scientific Research fellowship.


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Copyright information

© The Society for Reliability Engineering, Quality and Operations Management (SREQOM), India and The Division of Operation and Maintenance, Lulea University of Technology, Sweden 2018

Authors and Affiliations

  1. 1.Department of StatisticsBanaras Hindu UniversityVaranasiIndia

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