War against error using the method of surplus errors

Abstract

Although the errors of the modelparameters increase if the primary measuring errors are artificially increased by superposition of surplus errors to the measured values, if this surplus error superposition, however, is carried out many times enough, the medians of the inversion-determined modelparameters can be more (or even much more) accurate than the modelparameter got by one single inversion of the originally measured data.

The practical application of this fundamental conception is shown in the present paper on a microgravimetric example. It turned out that this “surplus error method” can give well applicable modelparameters even if some modelparameter values are fully unusable if these values are calculated directly on the basis of the original measuring data but using only one single inversion.