Step-stress accelerated degradation modeling based on nonlinear Wiener process

Lin Deng, Zegui Huang, Zhongyi Cai, Yunxiang Chen
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Abstract

Aiming at nonlinear degradation data in step-stress accelerated degradation test (SSADT), the reliability assessment method is put forward based on Wiener process. the process and degradation data model of SSADT is analyzed. The time scale model is used to convert nonlinear data into linear data. Draft coefficient of Wiener process is regarded as a random variable. Reliability model for nonlinear degradation data is built in consideration of individual variation. The two-step maximum likelihood estimation method (TSMLE) is used to derive the unknown parameters. An example is analyzed to show that presented model is correct.
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基于非线性Wiener过程的阶跃应力加速退化模型
针对阶跃应力加速退化试验(SSADT)中的非线性退化数据,提出了基于Wiener过程的可靠性评估方法。分析了SSADT的过程和退化数据模型。采用时间尺度模型将非线性数据转化为线性数据。将维纳过程的牵伸系数作为一个随机变量。建立了考虑个体变异的非线性退化数据的可靠性模型。采用两步极大似然估计法(TSMLE)推导未知参数。算例分析表明该模型是正确的。
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