We consider the linear regression model where prior information in the form of linear inequalities restricts the parameter space to a polyhedron. Since the linear minimax estimator has, in general, to be determined numerically, it was proposed to minimize an upper bound of the maximum risk instead.
Pseudo-minimax linear and mixed regression estimation of regression coefficients when prior estimates are available
โ Scribed by H. Shalabh; H. Toutenburg
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 170 KB
- Volume
- 63
- Category
- Article
- ISSN
- 0167-7152
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โฆ Synopsis
When prior estimates of regression coe cients along with their standard errors or their variance-covariance matrix are available, they can be incorporated into the estimation procedure through minimax linear and mixed regression approaches. It is demonstrated that the mixed regression approach provides more e cient estimators, at least asymptotically, in comparison to the minimax linear approach with respect to the criterion of variance-covariance matrix.
๐ SIMILAR VOLUMES
In this paper properties of an estimator of the population mean on current occasion under successive sampling scheme, when various weights (9h.s) and regression coefficients (BA.h-1) are estimated for A ~2 , have been studied. Some empirical results on the estimation of the variance of an unbiased e