Comparison of two sampling schemes in estimating the stress-strength reliability under the proportional reversed hazard rate model
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.
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
Issue
Section
Research Articles
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