Numerical Simulation of Non-Gaussian Random Fields with Prescribed Marginal Distributions and Cross-Correlation Structure II: Multivariate Random Fields

Abstract

We provide theoretical procedures and practical recipes to simulate non-Gaussian correlated, homogeneous random fields with prescribed marginal distributions and cross-correlation structure, either in a N-dimensional Cartesian space or on the celestial sphere. We illustrate our methods using far-infrared maps obtained with the Infrared Space Observatory. However, the methodology presented here can be used in other astrophysical applications that require modeling correlated features in sky maps, for example, the simulation of multifrequency sky maps where backgrounds, sources and noise are correlated and can be modeled by random fields.

24 pages, 4 figures. To appear in PASP

References in corpus (3)

• All-sky astrophysical component separation with Fast Independent Component Analysis (FastICA)
• FIRBACK: III. Catalog, Source counts, and cosmological implications of the 170 micron ISO Deep survey
• Numerical Simulation of Non-Gaussian Random Fields with Prescribed Correlation Structure

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