Abstract
A procedure which utilizes an initial estimate to estimate the coefficients in a linear mode is introduced. A linear model containing replications with the same input matrix is considered and a class of two-stage estimators is defined. Optimal estimators in the class are determined, and it is shown that the proposed estimators are better than the corresponding single-sample least squares estimator if the initial estimate is accurate, and are as good (asymptotically) as the corresponding single-sample least squares estimator if the initial estimate is inaccurate.
Original language | English (US) |
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Pages (from-to) | 219-222 |
Number of pages | 4 |
Journal | Journal of the American Statistical Association |
Volume | 69 |
Issue number | 345 |
DOIs | |
State | Published - Mar 1974 |
ASJC Scopus subject areas
- Statistics and Probability
- Statistics, Probability and Uncertainty