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Simulation of Infinitely Divisible Random Fields |
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| Authors: | Wolfgang Karcher Hans-Peter Scheffler Evgeny Spodarev |
| Institution: | 1. Institute of Stochastics, Ulm University , Ulm , Germany wolfgang.karcher@uni-ulm.de;3. University of Siegen, Fachbereich 6, Mathematik, Emmy-Noether-Campus , Siegen , Germany;4. Institute of Stochastics, Ulm University , Ulm , Germany |
| Abstract: | Two methods to approximate infinitely divisible random fields are presented. The methods are based on approximating the kernel function in the spectral representation of such fields, leading to numerical integration of the respective integrals. Error bounds for the approximation error are derived and the approximations are used to simulate certain classes of infinitely divisible random fields. |
| Keywords: | Approximation Infinitely divisible law Random field Simulation |