Bayesian estimation and credible interval of stress–strength reliability for two-parameter bathtub-shaped lifetime (TPBL) distribution are considered based on simple random sampling (SRS), ranked set sampling (RSS) and maximum ranked set sampling with unequal samples (MRSSU). Monte Carlo simulations are used to compare the performances of different proposed methods for Bayesian inferences on R. The results of simulation show that the estimator of the stress–strength reliability based on MRSSU and RSS are more efficient than SRS. Also, we make a comparison between the performance of the proposed methods in this paper and Tarvirdizade and Ahmadpour's [Estimation of the stress–strength reliability for the two-parameter bathtub-shaped lifetime distribution based on upper record values. Stat Methodol. 2016;31:58–72] method, which is based on upper record values. Finally, a real data set has been analyzed for illustrative purposes.

中文翻译：

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基于不等样本最大排序集抽样的双参数浴缸形寿命分布的应力-强度可靠性贝叶斯估计

基于简单随机抽样（SRS）、排序集抽样（RSS）和不等样本的最大排序集抽样（MRSSU）考虑了双参数浴缸形寿命（TPBL）分布的贝叶斯估计和应力强度可靠性可信区间. 蒙特卡罗模拟被用来比较不同提出的方法对 R 的贝叶斯推断的性能。模拟结果表明，基于 MRSSU 和 RSS 的应力强度可靠性估计器比 SRS 更有效。此外，我们将本文中提出的方法的性能与 Tarvirdizade 和 Ahmadpour 的[基于上记录值的双参数浴缸形寿命分布的应力强度可靠性估计] 进行了比较。统计方法。2016;31:58-72] 方法，这是基于上记录值。最后，为了说明的目的，我们分析了一个真实的数据集。