Abstract

In this paper, asymptotic normal, approximate F-based and ${\text{BC}}_{\mathrm{a}}$ 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 ${\text{BC}}_{\mathrm{a}}$ bootstrap inference could a good choice when R is large.

中文翻译：

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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${\text{公元前}}_{\mathrm{A}}$为应力-强度可靠性模型提出了引导推论$P(X<是),$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${\text{公元前}}_{\mathrm{A}}$当R很大时，bootstrap 推理可能是一个不错的选择。