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Stochastische Modelle der aktuariellen Risikotheorie
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Stochastische Modelle sind bei der Bewertung von Schadensbetrgen fr Versicherungen von besonderer Bedeutung. Das Buch gibt eine Einfhrung in die dabei verwendeten Modelle fr kleine und groe Schadensbetrge wie auch in die stochastische Prozesse der aktuariellen Risikotheorie (Zhlprozesse und Poisson-Prozess). Zentrales Thema ist die Analyse der Ruinwahrscheinlichkeit, wobei exakte Berechnungsmethoden, asymptotische Approximationen und numerische Algorithmen wie Monte Carlo-Simulation und schnelle Fourier-Transformation vorgestellt werden. Ein Appendix mit wichtigen Resultaten der Wahrscheinlichkeitstheorie erleichtert die Lektre dieses Buches.
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