Applied Probability Theory
Investigation of basic questions of probability theory:
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Consistent designation of prior-probabilities using differential geometry
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Outlier tolerant parameter estimates
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Correlated random tests
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Simulation of hierarchic models
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Numerical methods for high-dimensional, multi-modal probability densities
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Badly conditioned inversion problems
Results are applied in the following fields:
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Analysis of results generated by Quantum Monte Carlo
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Complex data analysis in experimental physics
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Ellipsometry
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Tomography, Abel inversion
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Mass-spectroscopy
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Deconvolution and reconstruction of spectral functions
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