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本文引用的文献

1
Classical methods of estimation on constant stress accelerated life tests under exponentiated Lindley distribution.指数化林德利分布下恒定应力加速寿命试验的经典估计方法。
J Appl Stat. 2019 Sep 5;47(6):975-996. doi: 10.1080/02664763.2019.1661361. eCollection 2020.

在渐进型II型截尾下具有恒定应力部分加速寿命试验的Nadarajah-Haghighi分布推断。

Inference on Nadarajah-Haghighi distribution with constant stress partially accelerated life tests under progressive type-II censoring.

作者信息

Dey Sanku, Wang Liang, Nassar Mazen

机构信息

Department of Statistics, St. Anthony's College, Shillong, India.

School of Mathematics, Yunnan Normal University, Kunming, People's Republic of China.

出版信息

J Appl Stat. 2021 May 18;49(11):2891-2912. doi: 10.1080/02664763.2021.1928014. eCollection 2022.

DOI:10.1080/02664763.2021.1928014
PMID:36093036
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC9451544/
Abstract

This paper presents methods of estimation of the parameters and acceleration factor for Nadarajah-Haghighi distribution based on constant-stress partially accelerated life tests. Based on progressive Type-II censoring, Maximum likelihood and Bayes estimates of the model parameters and acceleration factor are established, respectively. In addition, approximate confidence interval are constructed via asymptotic variance and covariance matrix, and Bayesian credible intervals are obtained based on importance sampling procedure. For comparison purpose, alternative bootstrap confidence intervals for unknown parameters and acceleration factor are also presented. Finally, extensive simulation studies are conducted for investigating the performance of the our results, and two data sets are analyzed to show the applicabilities of the proposed methods.

摘要

本文提出了基于恒定应力部分加速寿命试验的Nadarajah-Haghighi分布参数和加速因子的估计方法。基于渐进II型截尾，分别建立了模型参数和加速因子的最大似然估计和贝叶斯估计。此外，通过渐近方差和协方差矩阵构建近似置信区间，并基于重要性抽样程序获得贝叶斯可信区间。为了进行比较，还给出了未知参数和加速因子的替代自助置信区间。最后，进行了广泛的模拟研究以考察我们结果的性能，并分析了两个数据集以展示所提方法的适用性。