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Information geometry of Lévy processes and financial models

Choi, Jaehyung
arXiv (All) · Papers
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differential-geometryinformation-theorymathematical-financeprobabilitystatistics-theory
We develop the information geometry of Lévy processes. The $α$-divergence is derived directly in terms of the Lévy triplets, and the corresponding Fisher information matrix and $α$-connection are obtained from it. Potential functions and dually flat structures for a class of parametric Lévy processe
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