Numerical Simulation of Non‐Gaussian Random Fields with Prescribed Correlation Structure

In this paper we will consider the problem of the numerical simulation of non‐Gaussian, scalar random fields with a prescribed correlation structure either provided by a theoretical model or computed on a set of observational data. Although the numerical generation of a generic, non‐Gaussian random...

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Veröffentlicht in:Publications of the Astronomical Society of the Pacific 2001-08, Vol.113 (786), p.1009-1020
Hauptverfasser: Vio, Roberto, Andreani, Paola, Wamsteker, Willem
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Andreani, Paola
Wamsteker, Willem
description In this paper we will consider the problem of the numerical simulation of non‐Gaussian, scalar random fields with a prescribed correlation structure either provided by a theoretical model or computed on a set of observational data. Although the numerical generation of a generic, non‐Gaussian random field is a trivial operation, the task becomes difficult when the field is constrained with a prescribed correlation structure. In this regard, three numerical methods, useful for astronomical applications, are presented. The limits and capabilities of each method are discussed, and the pseudocodes describing the numerical implementation are provided for two of them.
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source Jstor Complete Legacy; Institute of Physics Journals; EZB-FREE-00999 freely available EZB journals; Alma/SFX Local Collection
subjects Coefficients
Correlations
Covariance
Distribution functions
Fourier transformations
Histograms
Random variables
Scalars
Skewed distribution
Subroutines
title Numerical Simulation of Non‐Gaussian Random Fields with Prescribed Correlation Structure
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