The paper presents a general concept of geodetic observations adjustment based on application of the Edgeworth' series and the principle of an alternative choice. The Edgeworth' series approximates the empirical distribution of measurement errors and gives an opportunity to modify the empirical characteristics of errors distribution. The method of estimation used is based on the principle of the alternative choice. Its natural robustness for outliers was the basis for newly created method called PAC-E. The paper presents the algorithm and some numerical tests that were carried out to compare the results of the proposed method with the results of the classical LS adjustment. Special attention was paid on the effect of non-zero excess and robustness of the proposed method.

This paper presents a geeral concept of an adjustment method Edgeworth series applied. The author proposes to replace distributions with approximating functions representd by Edgeworth series, which would be a universal, probabilistic model of the adjustment problem. Special attention is paid to variance an lysis. A con variance matrix C, of the vector X, its estimate C,, and and estimate of the variance coefficient a0 are derived. Also some further properties of the proposed method are presented.