Does adding data always improve linear regression estimates?
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.
Year of publication: |
2013
|
---|---|
Authors: | den Boer, A.V. |
Published in: |
Statistics & Probability Letters. - Elsevier, ISSN 0167-7152. - Vol. 83.2013, 3, p. 829-835
|
Publisher: |
Elsevier |
Subject: | Least-squares linear regression | Strong consistency | Inconsistency |
Saved in:
Saved in favorites
Similar items by subject
-
Bonneau, Mathieu, (2014)
-
Freise, Fritjof, (2021)
-
A Note on an Estimation Problem in Models with Adaptive Learning
Christopeit, Norbert, (2013)
- More ...