Does adding data always improve linear regression estimates?

被引:1
|
作者
den Boer, A. V. [1 ]
机构
[1] Eindhoven Univ Technol, NL-5600 MB Eindhoven, Netherlands
关键词
Least-squares linear regression; Strong consistency; Inconsistency;
D O I
10.1016/j.spl.2012.12.001
中图分类号
O21 [概率论与数理统计]; C8 [统计学];
学科分类号
020208 ; 070103 ; 0714 ;
摘要
Intuitively one might expect that the quality of statistical estimates cannot worsen if they are based on more data. We show in a least-squares linear regression setting that this intuition is wrong. Adding data may worsen the quality of parameter estimates, and in fact may even cause a design sequence to lose strong consistency. (C) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:829 / 835
页数:7
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