集美大学学报（自然科学版）2026，Vol.31Issue(1)：94-104,11.DOI:10.19715/j.jmuzr.2026.01.09
逐步I型混合截尾下多级恒定部分加速寿命试验的统计分析
Statistical Analysis of Multi-Level Constant Stress Partially Accelerated Life Test Under Progressive Type-I Hybrid Censoring
摘要
Abstract
The parametric estimation issues for a multi-level constant-partially accelerated life test(PALT)with Weibull distribution were studied under progressive type-I hybrid censored samples.Firstly,the condition under which product life follows a geometric process was derived from the distribution parameters and the stress in the life test.This result then serves as the basis for extending constant-PALT to multiple stress levels.Sec-ondly,the maximum likelihood method was used to obtain maximum likelihood estimations of the unknown pa-rameters and the acceleration factor.The approximate confidence intervals for the parameters were constructed using asymptotic likelihood theory and the Bootstrap method,respectively.Finally,the root mean square error of the estimators before and after the model extension was compared through Monte Carlo simulation,and the effects of parameter estimation under different removal schemes were discussed.The results indicated that the estimation outcomes under the multi-level constant-PALT are superior.关键词
部分加速寿命试验/威布尔分布/逐步I型混合截尾/极大似然估计/Bootstrap方法Key words
partially accelerated life test/Weibull distribution/type-I progressively hybrid censoring/maxi-mum likelihood estimation/Bootstrap method分类
数理科学引用本文复制引用
费涛,陈建伟,倪文清..逐步I型混合截尾下多级恒定部分加速寿命试验的统计分析[J].集美大学学报（自然科学版）,2026,31(1):94-104,11.基金项目
国家社会科学基金项目(18BTJ031) （18BTJ031）
福建省教育厅中青年教师教育科研项目(JAT210228) （JAT210228）
集美大学科研基金项目(ZP2022014) （ZP2022014）
