加速寿命试验中关键性基础理论与统计分析

Abstract For a step-stress pattern,step stess applies stress to the.experimental units such that the stress on a unit is changed at pre-specified.times,and that will affect the failure distribution of the unit and statistical analysis.Up till now,there have been four corresponding models of statistical analysis:(1)The cumulative exposure model (called CE model);(2)The tampered random.variable model (called TRV model);(3)The tampered failure rate model(called TFR.model);(4)Khamis and Higgins(1998)prpose a model(called KH model).We show that the KH model is not a new model but is a special case of the multiple step stress TFR model for Weibull distribution,conditions for the coincidence of the TFR ,TRV and CE models. For Weibull distribution, we give the AMLE and inverse moment method of estimation under the TFR model. We proved the uniqueness of the MLE of the Weibull distribution under the TFR model. We discussed the statistical.test methods of TFR model and CE model. We propose the statistical analysis method of the progressive stress accelerated life testing for the TFR model under the Weibull distribution, give the interval estimates of CE model for the step-stress accelerated life testing,the statistccal analysis methods of the constant stress.accelerated life testing under multiple type-Ⅱ censoring and the moment method.for no complete sampling.

研究步进应力加速寿命试验中CE模型,TRV模型和TFR模型之间的相互关系和模型选择的统计煅榉椒?给出加速系数的区间估计.研究含有缺失数据的定数载尾下加速寿命试验的统计分龇椒?以及TRV和TFR模型在序进应力加速寿命试验下的统计理论.本项目在理论和数据处理衔铀偈倜匝榈姆⒄购褪导视τ玫於酥匾幕?意义深远.