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Bad Luck In Quadratic Improvement of The Linear Estimator In A Special Linear Model
Authors:Gejza Wimmer
Institution:(1) Mathematical Institute, Slovak Academy of Sciences, Scarontefánikova 49, 81473 Bratislava, Slovak Republic
Abstract: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.
Keywords:linear model with dispersions depending on the mean value parameters  locally best linear-quadratic unbiased estimator (LBLQUE) of mean value parameters
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