考虑交互效应的双应力恒加试验可靠性推断  

Reliability Inference of Constant-Multiple-Stress Acceletated Life Test with Interaction Effect

作　　者：林慧中 王亮 LIN Huizhong;WANG Liang(School of Mathematics,Yunnan Normal University,Kunming 650500,China)

机构地区：[1]云南师范大学数学学院,云南昆明650500

出　　处：《昆明理工大学学报（自然科学版）》2023年第1期180-192,共13页Journal of Kunming University of Science and Technology(Natural Science)

基　　金：国家自然科学基金项目(12061091);云南省基础研究项目(202101AT070103);云南师范大学博士科研启动费项目(xj2021102716)。

摘　　要：基于双应力恒加寿命试验,在定数截尾试验场合,研究具有应力交互效应的寿命产品可靠性推断问题.针对一类服从广义逆指数分布的寿命产品,利用广义线性Eyring模型构建了具有交互效应的寿命应力关系,进而利用极大似然、最小二乘与Bootstrap方法获得了模型参数与可靠性指标的点估计与区间估计.最后,通过数值模拟、敏感性分析及实例说明了本文所给方法的有效性.Based on constant-stress accelerated life test with multiple-stress,reliability inference of life products with stress interaction effect is discussed under Type-II censoring.When the lifetime of testing products follows a generalized inverse exponential distribution,a life-stress relationship is constructed by using generalized linear Eyring model with stress interaction effect.Maximum likelihood,least square and Bootstrap methods are used respectively to obtain point and interval estimates of the model parameters and reliability indices.Finally,extensive numerical simulations,sensitivity analysis and a real-life example are provided to illustrate the effectiveness of our methods.

关 键 词：双应力恒加试验 交互效应 广义逆指数分布 定数截尾试验 

分 类 号：O212.6[理学—概率论与数理统计]