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.
机构:
Freiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, GermanyFreiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, Germany
Korner, R
Nather, W
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机构:
Freiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, GermanyFreiberg Univ Min & Technol, Fac Math & Comp Sci, D-09596 Freiberg, Germany