Minimum mean squared error estimation of each individual coefficient in a linear regression model
β Scribed by Kazuhiro Ohtani
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 653 KB
- Volume
- 62
- Category
- Article
- ISSN
- 0378-3758
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π SIMILAR VOLUMES
In this paper, the problem of nonnegative quadratic estimation of the mean squared errors of minimax estimators of/3 in the linear regression model E(y) = X/3, Var(y) = cr2I is discussed. An explicit formula for the admissible nonnegative minimum biased estimator is given. Some applications to one-w
## Abstract Consider the two linear regression models of __Y__~__ij__~ on __X__~__ij__~, namely __Y__~__ij__~ = Ξ²~__io__~ + Ξ²~__ij__~, __X__~__ij__~ + __E__~__ij__~ = 1, 2,β¦, __n__~__i__~, __i__ = 1, 2, where __E__~__ij__~ are assumed to be normally distributed with zero mean and common unknown var