Locally best linear-quadratic estimators

Gejza Wimmer

Displaying similar documents to “Locally best linear-quadratic estimators”

Bad luck in quadratic improvement of the linear estimator in a special linear model

Gejza Wimmer (1998)

Applications of Mathematics

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The paper concludes our investigations in looking for the locally best linear-quadratic estimators of mean value parameters and of the covariance matrix elements in a special structure of the linear model (2 variables case) where the dispersions of the observed quantities depend on the mean value parameters. Unfortunately there exists no linear-quadratic improvement of the linear estimator of mean value parameters in this model.

Covariance matrix elements estimation: special linear model without and with repeated measurement

Gejza Wimmer (1997)

Mathematica Slovaca

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Estimation of variance components in mixed linear models

Júlia Volaufová, Viktor Witkovský (1992)

Applications of Mathematics

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The MINQUE of the linear function $\int^{'} ϑ$ of the unknown variance-components parameter $ϑ$ in mixed linear model under linear restrictions of the type $𝐑 ϑ = c$ is defined and derived. As an illustration of this estimator the example of the one-way classification model with the restrictions $ϑ_{1} = k ϑ_{2}$ , where $k \geq 0$ , is given.