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  • 朱宁,徐标,李兵.半相依回归系统参数的Stein型主成分改进估计[J].广西科学,2006,13(3):184-186,193.    [点击复制]
  • ZHU Ning,XU Biao,LI Bing.The Stein-type Principal Components Adjusted Estimate of the Parameters in Seemingly Unrelated Regression System[J].Guangxi Sciences,2006,13(3):184-186,193.   [点击复制]
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半相依回归系统参数的Stein型主成分改进估计
朱宁, 徐标, 李兵
0
(桂林电子工业学院计算科学与数学系广西桂林 541004)
摘要:
将Stein压缩思想与主成分改进估计相结合,研究两个半相依回归系统.当设计阵呈病态时,提出Stein型主成分改进估计,同时,给出当V未知时的两步估计.证明在均方误差意义下,Stein型主成分改进估计局部优于主成分改进估计和协方差改进估计.
关键词:  半相依回归系统  协方差改进估计  Stein型主成分改进估计  两步估计
DOI:
投稿时间:2005-12-19修订日期:2006-03-22
基金项目:
The Stein-type Principal Components Adjusted Estimate of the Parameters in Seemingly Unrelated Regression System
ZHU Ning, XU Biao, LI Bing
(Department of Computational Science and Mathematics, Guilin University of Electronic Technology, Guilin, Guangxi, 541004, China)
Abstract:
We would relate Stein-Type Shrunken thingking to the principal components adjusted estimate to study a seemingly unrelated regression system.A Stein-Type principal Components adjusted estimate is proposed as the design matrix is ill-conditioned while giving two-age estimate when V is unknown.Under the criteria of means square error, the Stein-Type principal components adjust estimate is better than the principal components adjust estimate and covariance adjusted estimate.
Key words:  the seemingly regression  covariance adjusted estimate  Stein-type principal components adjusted estimate  two-stage estimate

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