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Estimation of the third and fourth order central moments of measurement errors from sums of powers of least squares adjustment residuals
Authors:Wiśniewski Zbigniew
Institution:(1) Institute of Geodesy and Photogrammetry, Olsztyn University of Agriculture and Technology, PL-10-957 Olsztyn, Poland
Abstract:Summary In the paper a method of determination of estimators of the central moments of the third and fourth order on the basis of the least squares adjustment is presented. These estimators concern the moments of the observation results as well as to readjustment (better) of observation sets with application of methods that take into consideration moments of higher order (not only the variance-covariance matrix).The obtained estimators are not biased, but their effectiveness was not studied. That is why the presented theory is not completed (in the sense of the estimators properties).
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