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提出定时截尾数据回归分析方法,建立定时截尾数据回归方程,给出回归系数和标准差的最佳无偏整体估计、百分位值的点估计及其置信限估计.详细讨论了工程中常见的极值分布、Weibull分布、正态分布以及一般位置-尺度分布场合下定时截尾数据的回归分析问题.该方法可以充分利用截尾时刻的试验信息,并将各个状态下的定时截尾数据作为一个整体进行统计分析,具有信息量大、精度高的特点,从而可以在试验时间、经费等有限的情况下对产品进行高精度的寿命预测和可靠性评估.
A time-censored data regression analysis method is proposed, and a time-censored data regression equation is established, and an optimal unbiased global estimation of regression coefficients and standard deviations, a point estimate of percentile value and its confidence limit estimation are given. Weibull distribution, normal distribution and the regression analysis of time-censored data in the case of general location-scale distribution, this method can make full use of the experimental information of the censoring time, and censor the timing of each state Data as a whole for statistical analysis, with a large amount of information, high precision features, which can be in the test time, funding and other limited circumstances of the product life prediction and reliability of high-precision assessment.