Under Type-Ⅱ progressively hybrid censoring, this paper discusses statistical inference and optimal design on stepstress partially accelerated life test for hybrid system in presence of masked data. It is assumed tha...Under Type-Ⅱ progressively hybrid censoring, this paper discusses statistical inference and optimal design on stepstress partially accelerated life test for hybrid system in presence of masked data. It is assumed that the lifetime of the component in hybrid systems follows independent and identical modified Weibull distributions. The maximum likelihood estimations(MLEs)of the unknown parameters, acceleration factor and reliability indexes are derived by using the Newton-Raphson algorithm. The asymptotic variance-covariance matrix and the approximate confidence intervals are obtained based on normal approximation to the asymptotic distribution of MLEs of model parameters. Moreover,two bootstrap confidence intervals are constructed by using the parametric bootstrap method. The optimal time of changing stress levels is determined under D-optimality and A-optimality criteria.Finally, the Monte Carlo simulation study is carried out to illustrate the proposed procedures.展开更多
The optimum design of equivalent accelerated life testing plan based on proportional hazards-proportional odds model using D-optimality is presented. The defined equivalent test plan is the test plan that has the same...The optimum design of equivalent accelerated life testing plan based on proportional hazards-proportional odds model using D-optimality is presented. The defined equivalent test plan is the test plan that has the same value of the determinant of Fisher information matrix. The equivalent test plan of step stress accelerated life testing （SSALT） to a baseline optimum constant stress accelerated life testing （CSALT） plan is obtained by adjusting the censoring time of SSALT and solving the optimization problem for each case to achieve the same value of the determinant of Fisher information matrix as in the baseline optimum CSALT plan. Numer- ical examples are given finally which demonstrate the equivalent SSALT plan to the baseline optimum CSALT plan reduces almost half of the test time while achieving approximately the same estimation errors of model parameters.展开更多
针对基于寿命数据的预测方法效率不高的问题,在进行温、湿度双应力加速退化试验的基础上,研究了通过分析加速退化数据而进行寿命预测的途径.为了充分利用所收集的产品寿命数据来提高预测精度,提出了综合退化数据与寿命数据的寿命预测方...针对基于寿命数据的预测方法效率不高的问题,在进行温、湿度双应力加速退化试验的基础上,研究了通过分析加速退化数据而进行寿命预测的途径.为了充分利用所收集的产品寿命数据来提高预测精度,提出了综合退化数据与寿命数据的寿命预测方法.分别使用Wiener过程、逆高斯分布和广义Eyring模型对产品性能的退化数据、少量寿命数据以及产品反应率进行建模,并建立了综合以上信息的可靠性模型.在此基础上,利用Markov Chain Monte Carlo仿真方法得到模型参数的点估计值,通过Bootstrap自助抽样法获得了模型参数的估计区间.结果表明,所提出的综合退化数据与寿命数据的方法可以提高寿命预测精度.展开更多
基金supported by the National Natural Science Foundation of China(71401134 71571144+1 种基金 71171164)the Program of International Cooperation and Exchanges in Science and Technology Funded by Shaanxi Province(2016KW-033)
文摘Under Type-Ⅱ progressively hybrid censoring, this paper discusses statistical inference and optimal design on stepstress partially accelerated life test for hybrid system in presence of masked data. It is assumed that the lifetime of the component in hybrid systems follows independent and identical modified Weibull distributions. The maximum likelihood estimations(MLEs)of the unknown parameters, acceleration factor and reliability indexes are derived by using the Newton-Raphson algorithm. The asymptotic variance-covariance matrix and the approximate confidence intervals are obtained based on normal approximation to the asymptotic distribution of MLEs of model parameters. Moreover,two bootstrap confidence intervals are constructed by using the parametric bootstrap method. The optimal time of changing stress levels is determined under D-optimality and A-optimality criteria.Finally, the Monte Carlo simulation study is carried out to illustrate the proposed procedures.
文摘The optimum design of equivalent accelerated life testing plan based on proportional hazards-proportional odds model using D-optimality is presented. The defined equivalent test plan is the test plan that has the same value of the determinant of Fisher information matrix. The equivalent test plan of step stress accelerated life testing （SSALT） to a baseline optimum constant stress accelerated life testing （CSALT） plan is obtained by adjusting the censoring time of SSALT and solving the optimization problem for each case to achieve the same value of the determinant of Fisher information matrix as in the baseline optimum CSALT plan. Numer- ical examples are given finally which demonstrate the equivalent SSALT plan to the baseline optimum CSALT plan reduces almost half of the test time while achieving approximately the same estimation errors of model parameters.
文摘针对基于寿命数据的预测方法效率不高的问题,在进行温、湿度双应力加速退化试验的基础上,研究了通过分析加速退化数据而进行寿命预测的途径.为了充分利用所收集的产品寿命数据来提高预测精度,提出了综合退化数据与寿命数据的寿命预测方法.分别使用Wiener过程、逆高斯分布和广义Eyring模型对产品性能的退化数据、少量寿命数据以及产品反应率进行建模,并建立了综合以上信息的可靠性模型.在此基础上,利用Markov Chain Monte Carlo仿真方法得到模型参数的点估计值,通过Bootstrap自助抽样法获得了模型参数的估计区间.结果表明,所提出的综合退化数据与寿命数据的方法可以提高寿命预测精度.
