Wimmer, Gejza Linear-quadratic estimators in a special structure of the linear model. (English) Zbl 0832.62050 Appl. Math., Praha 40, No. 2, 81-105 (1995). 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. Cited in 2 Documents MSC: 62H12 Estimation in multivariate analysis 62J99 Linear inference, regression 62F10 Point estimation 62F99 Parametric inference Keywords:variances depending on the mean value parameters; linear model; uncorrelated observations; locally best linear-quadratic unbiased estimators; locally best linear unbiased estimators PDFBibTeX XMLCite \textit{G. Wimmer}, Appl. Math., Praha 40, No. 2, 81--105 (1995; Zbl 0832.62050) Full Text: EuDML References: [1] V. Fajt: Electrical measurements. SNTL/ALFA, Praha, 1978. [2] Guido del Pino: The unifying role of iterative generalized least squares in statistical algorithms. Statistical Science 4 (1980), 394-408. · Zbl 0955.62607 [3] J. Nelder and R. Wedderburn: Generalized linear models. J. Roy. Statist. Soc. Ser A (1972), 370-384. [4] C.R. Rao and S.K. Mitra: Generalized Inverse of Matrices and Its Applications. J. Willey, New York, 1971. [5] K. Rinner and F. Benz: Jordan/Eggert/Kneissl Handbuch der Vermessungskunde. Band VI, Stuttgart, 1966. [6] R. Wedderburn: Quasi-likelihood functions, generalized linear models and the GaussNewton method. Biometrika 61 (1974), 439-447. · Zbl 0292.62050 [7] G. Wimmer: Linear model with variance depending on the mean value. Mathematica Slovaca 42 (1992), 223-238. · Zbl 0764.62055 [8] G. Wimmer: Estimation in a special structure of the linear model. Mathematica Slovaca 43 (1993), 221-264. · Zbl 0779.62061 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.