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 minim
um of the norm of the real errors of the quasi-accurate observations is res
trained.
The formulae and the scheme of the new method called "quasi-accurate detect
ion of gross errors (QUAD)" are presented. By using this method, not only m
ultiple gross errors can be identified and located exactly with these estim
ators calculated accurately, but also the precision of the estimators is ab
le to be evaluated strictly. This method may be suitable to dealing with th
e gross errors existing in various fields of science and engineering.