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Linear-quadratic estimators in a special structure of the linear model. (English) Zbl 0832.62050
Summary: The paper deals with the linear model with uncorrelated observations. The dispersions of the values observed are linear-quadratic functions of the unknown parameters of the mean (measurements by devices of a given class of precision). Investigated are the locally best linear-quadratic unbiased estimators as improvements of locally best linear unbiased estimators in the case that the design matrix has none, one or two linearly dependent rows.

62H12 Estimation in multivariate analysis
62J99 Linear inference, regression
62F10 Point estimation
62F99 Parametric inference
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