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A characterization of admissible linear estimators of fixed and random effects in linear models

✍ Scribed by Ewa Synówka-Bejenka; Stefan Zontek

Book ID
105856813
Publisher
Springer
Year
2007
Tongue
English
Weight
219 KB
Volume
68
Category
Article
ISSN
0026-1335

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✦ Synopsis

In the paper the problem of simultaneous linear estimation of fixed and random effects in the mixed linear model is considered. A necessary and sufficient conditions for a linear estimator of a linear function of fixed and random effects in balanced nested and crossed classification models to be admissible are given.

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In this paper it is demonstrated that a homogeneous linear estimator for the vector of parameters in a linear regression model is either a general ridge estimator, or a specific linear function of a general ridge estimator which satisfies certain homogeneous linear restrictions. As long as one is no