Comparison of two sampling schemes in estimating the stress-strength reliability under the proportional reversed hazard rate model

  • Amineh Sadeghpour Shahrood University of Technology
  • Ahmad Nezakati Shahrood University of Technology
  • Mahdi Salehi University of Neyshabur
Keywords: Record values, Bootstrap confidence interval, Maximum likelihood estimator, Proportional reversed hazard rate model, Record ranked set sampling, Stress-Strength reliability, Uniformly minimum variance unbiased estimator.

Abstract

In this paper, point and interval estimation of stress-strength reliability based on lower record ranked set sampling scheme under the proportional reversed hazard rate model are considered. Maximum likelihood, uniformly minimum variance unbiased, and Bayesian estimators of $\mathcal{R}$ are derived and their performances are compared. Various confidence intervals for the parameter $\mathcal{R}$ are constructed, and compared based on the simulation study. Moreover, the record ranked set sampling scheme is compared with ordinary records in case of interval estimations. Finally, a data set has been analyzed for illustrative purposes.

Author Biographies

Amineh Sadeghpour, Shahrood University of Technology
Faculty of Mathematical Sciences
Ahmad Nezakati, Shahrood University of Technology
Faculty of Mathematical Sciences
Mahdi Salehi, University of Neyshabur
Department of Mathematics and Statistics
Published
2020-06-30
How to Cite
Sadeghpour, A., Nezakati, A., & Salehi, M. (2020). Comparison of two sampling schemes in estimating the stress-strength reliability under the proportional reversed hazard rate model. Statistics, Optimization & Information Computing, 9(1), 82-98. https://doi.org/10.19139/soic-2310-5070-781
Section
Research Articles