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Since a single bad measurement can severely distort WLS estimation results, other estimators have been proposed with the purpose of improving the robustness of the estimation. Least absolute value (LAV) belongs to the category of robust estimators, i.e. procedures that are less sensitive to bad measurements than WLS technique. This estimator has also been exhaustively analyzed in technical literature [19–22].

The objective function of the LAV estimator is computed as the sum of the absolute values of all weighted measurement errors.