CALIBRATION OF LÉVY PROCESSES USING OPTIMAL CONTROL OF KOLMOGOROV EQUATIONS WITH PERIODIC BOUNDARY CONDITIONS

DOI10.3846/mma.2018.024zbMath1488.93185arXiv1506.08439OpenAlexW2963993461MaRDI QIDQ4959400

Hanno Gottschalk, Mario Annunziato

Publication date: 13 September 2021

Published in: Mathematical Modelling and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1506.08439

zbMATH Keywords

Lévy processesKolmogorov-Fokker-Planck equationIMEX numerical methodnon-parametric maximum likelihood methodoptimal control of PIDE

Mathematics Subject Classification ID

Processes with independent increments; Lévy processes (60G51) Optimality conditions for problems involving partial differential equations (49K20) Integro-partial differential equations (45K05) Optimal stochastic control (93E20)

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Cites Work

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• Lévy processes, integral equations, statistical physics. Connections and interactions
• A Fokker-Planck control framework for multidimensional stochastic processes
• Spectral calibration of exponential Lévy models
• Analysis of the Chang-Cooper discretization scheme for a class of Fokker-Planck equations
• Implicit-explicit numerical schemes for jump-diffusion processes
• The Feynman graph representation of convolution semigroups and its applications to Lévy statistics
• Nonparametric maximum likelihood estimation by the method of sieves
• M-matrix characterizations. I: nonsingular M-matrices
• Analysis of splitting methods for solving a partial integro-differential Fokker-Planck equation
• Nonparametric adaptive estimation for pure jump Lévy processes
• Dynamic optimization and differential games.
• A practical difference scheme for Fokker-Planck equations
• hp-DGFEM FOR KOLMOGOROV–FOKKER–PLANCK EQUATIONS OF MULTIVARIATE LÉVY PROCESSES
• OPTIMAL CONTROL OF PROBABILITY DENSITY FUNCTIONS OF STOCHASTIC PROCESSES
• A jump-diffusion Libor model and its robust calibration
• Numerical Analysis of Additive, Lévy and Feller Processes with Applications to Option Pricing
• Computational Optimization of Systems Governed by Partial Differential Equations
• Affine LIBOR Models with Multiple Curves: Theory, Examples and Calibration
• Lévy Processes and Stochastic Calculus
• Global Convergence Properties of Conjugate Gradient Methods for Optimization
• Conjugate Gradient Methods with Inexact Searches
• Numerical Optimization
• Model Selection and Multimodel Inference
• Financial Modelling with Jump Processes
• A Nonlinear Conjugate Gradient Method with a Strong Global Convergence Property
• A Finite Difference Scheme for Option Pricing in Jump Diffusion and Exponential Lévy Models
• RELAXATION METHODS APPLIED TO DETERMINE THE MOTION, IN TWO DIMENSIONS, OF A VISCOUS FLUID PAST A FIXED CYLINDER