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线性模型中回归系数广义岭估计的小样本性质
引用本文:韦剑,缪柏其.线性模型中回归系数广义岭估计的小样本性质[J].中国科学技术大学学报,2006,36(9):936-940.
作者姓名:韦剑  缪柏其
作者单位:中国科学技术大学统计与金融系,安徽合肥,230026
摘    要:在均方误差矩阵准则和Pitman closeness(PC)准则下讨论了线性回归模型中回归系数的广义岭估计相对于最小二乘估计的优良性及其相对效率的界.

关 键 词:线性回归模型  最小二乘估计  广义岭估计  均方误差矩阵准则  PC准则  相对效率
文章编号:0253-2778(2006)09-0936-05
收稿时间:08 25 2005 12:00AM
修稿时间:03 26 2006 12:00AM

Small-sample properties for generalized ridge estimator of regression coefficients in linear regression model
WEI Jian,MIAO Bai-qi.Small-sample properties for generalized ridge estimator of regression coefficients in linear regression model[J].Journal of University of Science and Technology of China,2006,36(9):936-940.
Authors:WEI Jian  MIAO Bai-qi
Institution:Department of Statistics and Finance ,University of Science and Technology of China, Hefei 230026, China
Abstract:Under the mean square error matrix(MSEM) criterion and Pitman closeness(PC) criterion,the superiorities of the generalized ridge estimator over the least square estimator was studied,and the boundaries of their relative efficiencies for the linear regression model were presented.
Keywords:linear regression model  least square estimator(LSE)  generalized ridge estimator  mean square error matrix criterion  Pitman closeness criterion  relative efficiency
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