Realistic Uncertainty Measures for GPS Observations

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The classical concept in geodesy of an exclusively stochastic assessment of the total error budget of observation data is extended. Uncertainty due to remaining systematics (imprecision) is treated consistently by interval mathematics. The superposition of both random variability (stochasticity) and imprecision yields uncertainty measures such as extended point confidence regions which are more realistic. The new concept is applied to GPS phase measurements. It is exemplarily discussed for a synthetic GPS network.