Geodesic
Linear-quadratic estimators in a special structure of the linear model
Applications of Mathematics, Tome 40 (1995) no. 2, pp. 81-105.

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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.
DOI : 10.21136/AM.1995.134282
Classification : 62F10, 62F99, 62H12, 62J99
Keywords: parametric estimation; linear model with variances depending on the mean value parameters; locally best linear-quadratic unbiased estimator (LBLQUE) 
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     author = {Wimmer, Gejza},
     title = {Linear-quadratic estimators in a special structure of the linear model},
     journal = {Applications of Mathematics},
     pages = {81--105},
     publisher = {mathdoc},
     volume = {40},
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     zbl = {0832.62050},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134282/}
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Wimmer, Gejza. Linear-quadratic estimators in a special structure of the linear model. Applications of Mathematics, Tome 40 (1995) no. 2, pp. 81-105. doi : 10.21136/AM.1995.134282. http://geodesic.mathdoc.fr/articles/10.21136/AM.1995.134282/

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