Simultaneous Estimation in a Restricted Linear Model
We consider a linear normal modelY=X[theta]+ewith[theta]verifying a linear restriction and the standard estimators [theta](unrestricted MLE) and[theta]* (restricted MLE). We prove that[theta]* is preferable to [theta]using a new and strong criterion which implies the domination under other usual criteria; in particular it is proven that the standard simultaneous confidence intervals centered at[theta]* have more confidence than those centered at [theta].
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Volume (Year): 61 (1997)
Issue (Month): 1 (April)
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- Kushary D. & Cohen A., 1989. "Estimating Ordered Location And Scale Parameters," Statistics & Risk Modeling, De Gruyter, vol. 7(3), pages 201-214, March.
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