Numerical Simulation of Non‐Gaussian Random Fields with Prescribed Marginal Distributions and Cross‐Correlation Structure. II. Multivariate Random Fields | Zendy

R. Vio | Zendy; P. Andreani | Zendy; Luis Tenorio | Zendy; W. Wamsteker | Zendy

Open Access

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

Author(s) -

R. Vio,

P. Andreani,

Luis Tenorio,

W. Wamsteker

Publication year - 2002

Publication title -

publications of the astronomical society of the pacific

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 2.294

H-Index - 172

eISSN - 1538-3873

pISSN - 0004-6280

DOI - 10.1086/342767

Subject(s) - random field , gaussian , statistical physics , sky , cartesian coordinate system , physics , marginal distribution , gaussian random field , multivariate statistics , space (punctuation) , multivariate normal distribution , mathematics , mathematical analysis , statistics , computer science , random variable , geometry , gaussian process , astrophysics , quantum mechanics , operating system

We provide theoretical procedures and practical recipes to simulatenon-Gaussian correlated, homogeneous random fields with prescribed marginaldistributions and cross-correlation structure, either in a N-dimensionalCartesian space or on the celestial sphere. We illustrate our methods usingfar-infrared maps obtained with the Infrared Space Observatory. However, themethodology presented here can be used in other astrophysical applications thatrequire modeling correlated features in sky maps, for example, the simulationof multifrequency sky maps where backgrounds, sources and noise are correlatedand can be modeled by random fields.Comment: 24 pages, 4 figures. To appear in PAS

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