A new method of identifying and locating gross errors

Abstract

A new idea and a distinctive method have been proposed, which concern real errors and their estimators. By using the idea of “Quasi-Stable Adjustment” created by Prof. Zhou Jiangwen for reference, the rank-deficient equations on real errors are resolved by adding the conditions under which the minimum of the norm of the real errors of the quasi-accurate observations is restrained. The formulae and the scheme of the new method called “quasi-accurate detection of gross errors (QUAD)” are presented. By using this method, not only multiple gross errors can be identified and located exactly with these estimators calculated accurately, but also the precision of the estimators is able to be evaluated strictly. This method may be suitable to dealing with the gross errors existing in various fields of science and engineering.