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On Simulation of Manifold Indexed Fractional Gaussian Fields

Alexandre Brouste, Jacques Istas and Sophie Lambert-Lacroix

Journal of Statistical Software, 2010, vol. 036, issue i04

Abstract: To simulate fractional Brownian motion indexed by a manifold poses serious numerical problems: storage, computing time and choice of an appropriate grid. We propose an effective and fast method, valid not only for fractional Brownian fields indexed by a manifold, but for any Gaussian fields indexed by a manifold. The performance of our method is illustrated with different manifolds (sphere, hyperboloid).

Date: 2010-08-05
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Persistent link: https://EconPapers.repec.org/RePEc:jss:jstsof:v:036:i04

DOI: 10.18637/jss.v036.i04

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