On admissibility in various classes of quadratic estimators (Q1068477)
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scientific article; zbMATH DE number 3932176
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On admissibility in various classes of quadratic estimators |
scientific article; zbMATH DE number 3932176 |
Statements
On admissibility in various classes of quadratic estimators (English)
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1986
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Estimation of variance components in several classes of quadratic estimators is considered. It includes estimation with or without unbiasedness and with or without invariance. Relations between sets of admissible estimators in these classes are investigated. It is shown that the set of admissible estimators among (unbiased) invariant quadratics is included in the set of admissible estimators among all (unbiased) quadratics but the set of admissible among all quadratics is disjoint with the set of all unbiased quadratics.
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linear model
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Estimation of variance components
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quadratic estimators
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unbiasedness
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invariance
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