In this article, we consider the classical and Bayesian estimation of the multicomponent stress–strength reliability (MSSR) for the Burr XII distribution based on progressively first-failure censored samples. Both stress and strength random variables follow Burr XII distribution with common first shape parameter. The maximum likelihood estimator, asymptotic, boot-p and boot-t confidence interval of MSSR are studied. The Bayes estimator along with the Bayesian credible and highest posterior density credible intervals are derived. The uniformly minimum variance unbiased estimator of MSSR is discussed. A simulation study is performed to illustrate the proposed censoring and different estimation methods. At the end, two different real data sets are analysed for comparing different censoring schemes and estimation methods.

在本文中，我们考虑基于渐进式首次失效删失样本的 Burr XII 分布的多分量应力强度可靠性 (MSSR) 的经典和贝叶斯估计。应力和强度随机变量均遵循 Burr XII 分布，具有共同的第一形状参数。研究了MSSR的最大似然估计、渐近、boot-p和boot-t置信区间。推导出贝叶斯估计量以及贝叶斯可信区间和最高后验密度可信区间。讨论了MSSR的一致最小方差无偏估计量。进行模拟研究以说明所提出的审查和不同的估计方法。最后，分析了两个不同的真实数据集，以比较不同的审查方案和估计方法。