Summary
A theorem on the invariance of a unit dispersion estimator with respect to a transformation eliminating a systematic influence from measured data is presented. In the case of a normally distributed observation vector the resulting estimator of the unit dispersion is unbiased, uniformly (with respect to the parametric space) effective and invariant (with respect to the first order parametric space). A typical domain of application is the case of processing results of measurements by gravimeters.
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References
L. Kubáček: Elimination of Nuisance Parameters in a Regression Model. Math. Slovaca, 36 (1986), 137.
L. Kubáček: Foundations of Estimation Theory. Elsevier, N. York, Oxford, Tokyo, Amsterdam 1987.
L. Kubáček, L. Kubáčková: Statistical Aspects of Eliminating Systematic Effects. Studia geoph. et geod., 30 (1986), 1.
L. Kubáčková: Optimum Processing of Gravimetric Observations Affected by the Drift in a One-stage Net, and the Analysis of the Accuracy of the Results. Studia geoph. et geod., 30 (1986), 236.
L. Kubáčková: Collocations with an Error Component Trend. Contr. Geophys. Inst. Slov. Acad. Sci., 16 (1986), 7.
C. R. Rao, S. K. Mitra: Generalized Inverse of Matrices and Its Applications. J. Wiley, N. York 1971.
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Kubáček, L., Kubáčková, L. An effective estimator of the dispersion from data affected by a systematic influence. Stud Geophys Geod 33, 307–314 (1989). https://doi.org/10.1007/BF01637686
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DOI: https://doi.org/10.1007/BF01637686