Summary
The recent results obtained in optimum processing of data affected by a systematic influence, mainly the equivalent algorithms of processing them on the basis of the observation vector before and after the optimum elimination of the nuisance affects are applied for processing the results obtained by a group of gravimeters within one daily section. Such equivalent procedures yield and important check of the correctness and numerical stability of the results obtained. New statistical models respecting the individual character of a measurement device are used to process the results obtained by a group of gravimeters. The efficiency of the obtained new estimators, in comparison with the efficiency of estimators obtained from the models usually used is surprisingly higher. In the new models, which also respect the presence of nuisance parameters, equivalent procedures have been elaborated. This means that the data processing algorithms are given on the basis of the observation vector before and also after optimum elimination of the nuisance parameters. Such equivalent procedures provide an important check of the correctness and numerical stability of the results obtained.
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Kubáčková, L., Kubáček, L. Statistical models with nuisance parameters as applied to an experiment performed by a group of devices. Stud Geophys Geod 38, 333–351 (1994). https://doi.org/10.1007/BF02296166
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DOI: https://doi.org/10.1007/BF02296166