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@article{Heinrich:2019:10.1016/j.matcom.2019.04.006,
author = {Heinrich, C and Pakkanen, MS and Veraart, AED},
doi = {10.1016/j.matcom.2019.04.006},
journal = {Mathematics and Computers in Simulation},
pages = {224--244},
title = {Hybrid simulation scheme for volatility modulated moving average fields},
url = {http://dx.doi.org/10.1016/j.matcom.2019.04.006},
volume = {166},
year = {2019}
}

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TY  - JOUR
AB  - We develop a simulation scheme for a class of spatial stochastic processes called volatility modulated moving averages. A characteristic feature of this model is that the behaviour of the moving average kernel at zero governs the roughness of realisations, whereas its behaviour away from zero determines the global properties of the process, such as long range dependence. Our simulation scheme takes this into account and approximates the moving average kernel by a power function around zero and by a step function elsewhere. For this type of approach the authors of [8], who considered an analogous model in one dimension, coined the expression hybrid simulation scheme. We derive the asymptotic mean square error of the simulation scheme and compare it in a simulation study with several other simulation techniques and exemplify its favourable performance in a simulation study.
AU  - Heinrich,C
AU  - Pakkanen,MS
AU  - Veraart,AED
DO  - 10.1016/j.matcom.2019.04.006
EP  - 244
PY  - 2019///
SN  - 0378-4754
SP  - 224
TI  - Hybrid simulation scheme for volatility modulated moving average fields
T2  - Mathematics and Computers in Simulation
UR  - http://dx.doi.org/10.1016/j.matcom.2019.04.006
UR  - http://arxiv.org/abs/1709.01310v1
UR  - http://hdl.handle.net/10044/1/69881
VL  - 166
ER  -

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