变换数据对约束线性模型拟合值的影响  

THE INFLUENCE TO FITTED VALUES IN RESTRICTED LINEAR REGRESSION MODEL WITH AGGREGATED DATA

作　　者：归庆明[1] 黄顺玉[1] 

机构地区：[1]郑州测绘学院基础部

出　　处：《河南科学》1997年第2期144-148,共5页Henan Science

摘　　要：研究变换数据对约束线性回归模型拟合值的影响问题，提出了Ｗｅｌｓｃｈ－Ｋｕｈ统计量、广义方差比等统计量作为变换对约束ＢＬＵ估计下拟合值影响大小的度量，得到了影响的上界与下界。In this paper, we discuss the influence on fitted values in the restricted linear regression model with aggregated data. We propose Welsch Kuh statistic and generalized variance ratio to study the influence of aggregated data to fitted values, get the upper bound and lower bound of the influence, and establish the relations between these statistics and generalized correlation coefficients.

关 键 词：线性回归模型 无偏估计 变换数据 拟合值 

分 类 号：O212.1[理学—概率论与数理统计]