Does adding data always improve linear regression estimates?

Statistics and Probability Letters

Volumn 83, Issue 3, 2013, Pages 829-835

  den Boer, A V ^a  

^a EINDHOVEN UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

Inconsistency; Least squares linear regression; Strong consistency

Indexed keywords

EID: 84871665582     PISSN: 01677152     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.spl.2012.12.001     Document Type: Article

References (7)

1. Bartlett M.S. An inverse matrix adjustment arising in discriminant analysis. The Annals of Mathematical Statistics 1951, 22(1):107-111.
2. Bhatia R. Positive Definite Matrices 2007, Princeton University Press, Princeton.
3. den Boer, A.V., Zwart, B., 2010. Simultaneously learning and optimizing using controlled variance pricing (submitted for publication).
4. Broder J., Rusmevichientong P. Dynamic pricing under a general parametric choice model. Operations Research 2012, 60(4):965-980.
5. Lai T.L., Robbins H., Wei C.Z. Strong consistency of least squares estimates in multiple regression II. Journal of Multivariate Analysis 1979, 9(3):343-361.
6. Lai T.L., Wei C.Z. Least squares estimates in stochastic regression models with applications to identification and control of dynamic systems. The Annals of Statistics 1982, 10(1):154-166.
7. Nassiri-Toussi K., Ren W. On the convergence of least squares estimates in white noise. IEEE Transactions on Automatic Control 1994, 39(2):364-368.