Robust estimation with independent observations has been investigated in the field of geodesy. However, robust estimation in the dependent situation has not widely been studied. Robust estimation models for correlated observations, based on the principles of M-estimation and equivalent weights, are established in this paper. The general linear expressions of solutions and their corresponding influence functions are derived. Based on iterative calculation procedures, six computation schemes are performed and compared. A new equivalent weight function for correlated observations is proposed.
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