区间数据回归分析方法

基金项目: 国家自然科学基金项目(10472006);北京市教育委员会共建项目(XK100060418)

Regression analysis method for interval censored data

Research Center of Small Sample Technology, Beijing University of Aeronautics and Astronautics, Beijing 100083, China

摘要: 提出区间数据回归分析方法, 建立区间数据回归方程, 给出回归系数的最佳无偏整体估计及其协方差矩阵.详细讨论了工程中常见的极值分布、Weibull分布和正态分布的等尺度和非等尺度(或异方差)线性回归分析.该方法可以将各个不同状态下的区间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.
- 航空、航天推进系统 /
- 区间数据 /
- 回归分析 /
- 极值分布 /
- Weibull分布 /
- 正态分布
Abstract: A new method of regression analysis for interval censored data is presented,the regression equation for interval censored data is established,and the best unbiased integral estimators of the regression coefficients and their covariance matrix are given.The regression analysis methods for interval censored data from extreme distribution,Weibull distribution and normal distribution are discussed in detail.As the cross information among test data in different states is fully exploited,this method can reach higher precision than traditional method.
- aerospace propulsion system /
- interval censored data /
- regression analysis /
- extreme distribution /
- Weibull distribution /
- normal distribution

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