定时截尾数据回归分析方法
Regression analysis method for type-Ⅰcensored data
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摘要: 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.Abstract: Regression analysis method for type-Ⅰ censored data was presented.The regression equation for type-Ⅰ censored data was established.The best unbiased integral estimators of the regression coefficients and the standard deviation,the point estimators and confidence intervals of percentiles were given.The regression analysis methods for type-Ⅰ censored data from extreme distribution,Weibull distribution,normal distribution and location-scale distribution were discussed in detail.As the experimental information at the censoring time and the cross information among test data in different states were fully exploited,the presented method could reach a high precision.The method provides a feasible and effective approach to life prediction and reliability estimation of products when the test time or expense are limited.
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