Bayesian Methods in Geodetic Earth System Research

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In the proposed study, we lay the foundations for the application of Bayesian methods in geodetic Earth system research. A bundle of algorithms and implementation schemes will be developed that allow to formulate Bayesian estimates when geodetic data is analysed or data and physical model output is to be combined, while existing software blocks for geodetic analysis and model integrations can be reused. Uncertainties will be strictly characterized by possibly non-Gaussian probability density functions. Numerically efficient algorithms will be developed, Our work will be generic and not restricted to a particular application within geodetic Earth system research. Yet, through case studies we will deal with the interpretation of satellite-gravimetric data.