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Improved point and interval estimation of the stress-strength reliability based on ranked set sampling

机译：基于排序集抽样的应力强度可靠性改进点和区间估计

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摘要

In this paper, the problem of estimating the stress-strength reliability (R) based on ranked set sampling (RSS) is studied in the exponential model. For estimation purposes, the preliminary test estimator and its shrinkage version as well as the Stein-type estimators of R are proposed. Their exact asymptotic distributional properties are derived. Conditions of superiority for the proposed shrinkage estimators are discussed. Furthermore, some improved bootstrap confidence intervals, based on the superior estimators, are constructed. An extensive simulation study is carried out in order to assess the inferential methods developed here. Both asymptotic and simulation evidences revealed that our proposed shrinkage strategies perform well in the estimation of R based on RSS. The results are concluded with the analysis of a real data set and a summary.
机译：本文研究了在指数模型中基于排序集抽样（RSS）估计应力强度可靠性（R）的问题。出于估计的目的，提出了R的初步测试估计量及其收缩版本以及Stein型估计量。推导了它们的精确渐近分布特性。讨论了拟议的收缩率估算器的优越性条件。此外，基于高级估计量，构造了一些改进的自举置信区间。为了评估此处开发的推理方法，进行了广泛的仿真研究。渐近和模拟证据均表明，我们提出的收缩策略在基于RSS的R估计中表现良好。通过对真实数据集的分析和总结得出结论。

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