The comparison of selected robust estimation methods for adjustment of measurements in geodetic network

Each measurement is subject to many disruptive effects that can cause measurement errors. These errors cannot be avoided, but they can be kept within certain limits so that the measurement results are usable. This leads to the implementation of new alternative procedures in a practical adjustment of measurements, in addition to the least square method-robust estimation methods. The presented paper discusses in detail the selected robust estimation method: Huber's robust M-estimation, Hampel's robust M-estimation, robust Tukey's biweight method and Danish method. The paper also compares them with the LSM on the example of adjustment of measurements of the geodetic network established in the underground areas of the Dobsinska Ice Cave.