On variance-covariance components estimation in linear models with AR(1) disturbances.
Witkovský, V. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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Witkovský, V. (1996)
Acta Mathematica Universitatis Comenianae. New Series
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J.M. Begun (1987)
Metrika
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Karel Hron (2007)
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica
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The linear regression model, where the mean value parameters are divided into stable and nonstable part in each of both epochs of measurement, is considered in this paper. Then, equivalent formulas of the best linear unbiased estimators of this parameters in both epochs using partitioned matrix inverse are derived.
H. Truszczyńska (1987)
Applicationes Mathematicae
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Viktor Witkovský (1998)
Kybernetika
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The paper deals with modified minimax quadratic estimation of variance and covariance components under full ellipsoidal restrictions. Based on the, so called, linear approach to estimation variance components, i. e. considering useful local transformation of the original model, we can directly adopt the results from the linear theory. Under normality assumption we can can derive the explicit form of the estimator which is formally find to be the Kuks–Olman type estimator.