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Mixed multiepoch linear regression models with nuisance parameters. (English) Zbl 0852.62064

Summary: The optimum linear estimators of the useful mean value parameters and the optimum quadratic estimators of the variance parameters within a mixed linear regression model with stable and variable parameters and with nuisance parameters are derived including their characteristics of accuracy.

MSC:

62J05 Linear regression; mixed models
62H12 Estimation in multivariate analysis

References:

[1] Kubáčková L., Kubáček L.: Elimination transformation of an observation vector preserving information on the first and second order parameters. Technical report No 11 (1990), Institute of Geodesy, University of Stuttgart, 71 pp.
[2] Kubáčková L.: Locally best estimators of the second order parameters in fundamental replicated structures with nuisance parameters. Technical report No 12 (1990), Institute of Geodesy, University of Stuttgart, 67 pp.
[3] Kubáčková L.: The locally best estimators of the first and second order parameters in epoch regression models. Applications of Mathematics 37 (1992), 1-12. · Zbl 0743.62057
[4] Kubáčková L.: Multiepoch linear regression models. Technical report No 19 (1993), Institute of Geodesy, University of Stuttgart, 65 pp.
[5] Rao C. R., Kleffe J.: Estimation of variance components. P. R. Krisnaiah (ed.), Handbook of Statistics. Vol. I. North-Holland, Amsterdam-New York, 1980. · Zbl 0476.62058
[6] Rao C. R., Kleffe J.: Estimation of Variance Components and Applications. North Holland, Amsterdam-Oxford-New York-Tokyo, 1988. · Zbl 0645.62073
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