an:00808200
Zbl 0832.62050
Wimmer, Gejza
Linear-quadratic estimators in a special structure of the linear model
EN
Appl. Math., Praha 40, No. 2, 81-105 (1995).
00026902
1995
j
62H12 62J99 62F10 62F99
variances depending on the mean value parameters; linear model; uncorrelated observations; locally best linear-quadratic unbiased estimators; locally best linear unbiased estimators
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.