Browsing Mathematics, Statistics, and Physics by Subject "Gaussian random field"
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Covariance matrix functions of isotropic vector random fields
(Taylor & Francis Group, 20140515)An isotropic scalar or vector random field is a secondorder random field in (d > 2), whose covariance function or direct/cross covariance functions are isotropic. While isotropic scalar random fields have been well developed ... 
Hyperbolic vector random fields with hyperbolic direct and cross covariance functions
(Taylor & Francis, 20120626)This article introduces the hyperbolic vector random field whose finitedimensional distributions are the generalized hyperbolic one, which is formulated as a scale mixture of Gaussian random fields and is thus an elliptically ... 
Isotropic covariance matrix functions on all spheres
(Springer International Publishing AG, 201508)This paper reviews and introduces characterizations of the covariance function on all spheres that is isotropic and continuous, and characterizations of the covariance matrix function on all spheres whose entries are ... 
Logistic vector random fields with logistic direct and cross covariances
(Elsevier B.V., 201506)The logistic vector random field is introduced in this paper as a scale mixture of Gaussian vector random fields, and is thus a particular elliptically contoured (spherically invariant) vector random field. Such a logistic ... 
MittagLeffler vector random fields with MittagLeffler direct and cross covariance functions
(Springer Heidelberg, 201310)In terms of the twoparameter MittagLeffler function with specified parameters, this paper introduces the MittagLeffler vector random field through its finitedimensional characteristic functions, which is essentially ... 
Multifractional vector Brownian motions, their decompositions, and generalizations
(Taylor & Francis Group, 20150504)This article introduces three types of covariance matrix structures for Gaussian or elliptically contoured vector random fields in space and/or time, which include fractional, bifractional, and trifractional vector Brownian ... 
Stationary and isotropic vector random fields on spheres
(Springer, 201208)This paper presents the characterization of the covariance matrix function of a Gaussian or secondorder elliptically contoured vector random field on the sphere which is stationary, isotropic, and mean square continuous. ... 
Stochastic representations of isotropic vector random fields on spheres
(Taylor & Francis Group, 2016)A stochastic representation is derived for a vector random field that is stationary, isotropic, and mean square continuous on a sphere or unit circle. The established stochastic representation is an infinite series involving ... 
Student's t vector random fields with powerlaw and loglaw decaying direct and cross covariances.
(Taylor & Francis, Inc, 20130101)This article deals with the Student's t vector random field, which is formulated as a scale mixture of Gaussian vector random fields, and whose finitedimensional distributions decay in powerlaw and have heavy tails. There ... 
Variogram matrix functions for vector random fields with secondorder increments
(Springer, 201205)The variogram matrix function is an important measure for the dependence of a vector random field with secondorder increments, and is a useful tool for linear predication or cokriging. This paper proposes an efficient ... 
Vector random fields with compactly supported covariance matrix functions
(Elsevier, 201303)The objective of this paper is to construct covariance matrix functions whose entries are compactly supported, and to use them as building blocks to formulate other covariance matrix functions for secondorder vector ...