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Tempered stable distributions and processes
Authors:Uwe Kü  chler,Stefan Tappe
Affiliation:1. Humboldt Universität zu Berlin, Institut für Mathematik, Unter den Linden 6, D-10099 Berlin, Germany;2. Leibniz Universität Hannover, Institut für Mathematische Stochastik, Welfengarten 1, D-30167 Hannover, Germany
Abstract:We investigate the class of tempered stable distributions and their associated processes. Our analysis of tempered stable distributions includes limit distributions, parameter estimation and the study of their densities. Regarding tempered stable processes, we deal with density transformations and compute their pp-variation indices. Exponential stock models driven by tempered stable processes are discussed as well.
Keywords:60E07   60G51
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