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September, 1992 Admissible Estimators of Variance Components Obtained Via Submodels
Witold Klonecki, Stefan Zontek
Ann. Statist. 20(3): 1454-1467 (September, 1992). DOI: 10.1214/aos/1176348778

Abstract

Simultaneous estimation of the vector of variance components under unbalanced mixed models w.r.t. the ordinary quadratic loss function is considered. A new method of constructing invariant quadratic admissible estimators, both with and without the condition of unbiasedness, is presented. Using this method, admissible estimators for the factorial models with imbalance at the last stage and the unbalanced $(p - 1)$-way nested factors design are constructed.

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Witold Klonecki. Stefan Zontek. "Admissible Estimators of Variance Components Obtained Via Submodels." Ann. Statist. 20 (3) 1454 - 1467, September, 1992. https://doi.org/10.1214/aos/1176348778

Information

Published: September, 1992
First available in Project Euclid: 12 April 2007

zbMATH: 0760.62066
MathSciNet: MR1186259
Digital Object Identifier: 10.1214/aos/1176348778

Subjects:
Primary: 62F10
Secondary: 62J10

Rights: Copyright © 1992 Institute of Mathematical Statistics

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Vol.20 • No. 3 • September, 1992
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