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Inference for the stress-strength reliability for the two-parameter Burr type X under Type I and Type II censoring
Communications in Statistics - Simulation and Computation ( IF 0.8 ) Pub Date : 2021-04-28 , DOI: 10.1080/03610918.2021.1892761
Li Luo 1 , James G. Surles 2
Affiliation  

Abstract

In this paper, asymptotic normal, approximate F-based and BCa bootstrap inferences are proposed for the stress-strength reliability model P(X<Y), with the assumption that both samples from the two-parameter Burr type X distribution under Type I and Type II censoring. A simulation study is carried out. There is no clear winner among these methods, asymptotic normal and approximate F-based inference work well for the heavy censoring case when R is small, while BCa bootstrap inference could a good choice when R is large.



中文翻译:

I 型和 II 型审查下双参数 Burr X 型应力强度可靠性的推断

摘要

在本文中,渐近正态、近似 F 基和公元前A为应力-强度可靠性模型提出了引导推论P(X<),假设两个样本都来自 I 型和 II 型审查下的双参数 Burr X 型分布。进行了模拟研究。这些方法中没有明显的赢家,当R较小时,渐近正态和基于近似 F 的推理适用于重审查情况,而公元前A当R很大时,bootstrap 推理可能是一个不错的选择。

更新日期:2021-04-28
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