A New Flexible Stress-Strength Model

  • Alimohammad Beiranvand
  • Ramin Kazemi Imam Khomeini international university
  • ‎Akram Kohansal
  • Farshin‎ ‎ Hormozinejad
Keywords: ‎Stress-strength model, ‎Two-parameter new Weibull-Fr\'{e}chet distribution, ‎Type II progressive censored sample, ‎Monte Carlo simulation

Abstract

‎To introduce a flexible stress-strength model‎, ‎statistical inference of the stress-strength parameter $R=P(X<Y)$‎, ‎when stress $X$ and strength $Y$ are two independent‎ two-parametre new Weibull-Fr\'{e}chet variables‎, ‎is considered under Type II progressive censored samples‎. ‎The MLE‎, ‎AMLE‎, ‎asymptotic confidence intervals‎, ‎Bayes estimate and HPD intervals of $R$ are achieved in three different cases‎. ‎Also‎, ‎to compare the performance of three different methods‎, ‎we apply the Monte Carlo simulations and also analyze a data set for illustrative aims‎.

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Published
2021-12-15
How to Cite
Beiranvand, A., Kazemi, R., Kohansal‎., & HormozinejadF. ‎. (2021). A New Flexible Stress-Strength Model. Statistics, Optimization & Information Computing, 10(4), 1072-1094. https://doi.org/10.19139/soic-2310-5070-1230
Section
Research Articles