scholarly journals Series representations and simulations of isotropic random fields in the Euclidean space

2021 ◽  
Vol 105 (0) ◽  
pp. 93-111
Author(s):  
Z. Ma ◽  
C. Ma
Keyword(s):  
Euclidean Space ◽  
Random Fields ◽  
Spectral Representation ◽  
Series Representation ◽  
Gaussian Random Fields ◽  
Mean Square ◽  
Ultraspherical Polynomial ◽  
Series Representations ◽  
Non Gaussian ◽  
Isotropic Random

This paper introduces the series expansion for homogeneous, isotropic and mean square continuous random fields in the Euclidean space, which involves the Bessel function and the ultraspherical polynomial, but differs from the spectral representation in terms of the ordinary spherical harmonics that has more terms at each level.The series representation provides a simple and efficient approach for simulation of isotropic (non-Gaussian) random fields.

About approximation of 3-D random fields and statistical simulation

2003 ◽  
Vol 11 (3) ◽  
Author(s):  
Zoya O. Vyzhva
Keyword(s):  
Random Fields ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Statistical Simulation ◽  
Gaussian Random Fields ◽  
Statistical Characteristics ◽  
Mean Square ◽  
The Mean ◽  
Isotropic Random ◽  
Three Dimensional Space

The estimator of the mean-square approximation of 3-D homogeneous and isotropic random field is investigated. The problem of statistical simulation of realizations of random fields in threedimensional space is considered. The algorithm for the receiving of this realization has been formulated, which has been constructed on the base the mean-square approximation of random fields estimator. It has been constructed the statistical model for the Gaussian random fields in three-dimensional space, which has been given by its statistical characteristics.

scholarly journals Inference on dynamic models for non-Gaussian random fields using INLA

2017 ◽  
Vol 31 (1) ◽  
pp. 1-23 ◽  
Author(s):  
R. X. Cortes ◽  
T. G. Martins ◽  
M. O. Prates ◽  
B. A. Silva
Keyword(s):  
Random Fields ◽  
Dynamic Models ◽  
Gaussian Random Fields ◽  
Non Gaussian
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