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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.

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