Stationary and isotropic vector random fields on spheres

dc.contributor.author	Ma, Chunsheng
dc.date.accessioned	2012-09-09T02:31:39Z
dc.date.available	2012-09-09T02:31:39Z
dc.date.issued	2012-08
dc.identifier.citation	Ma, Chunsheng. 2012. Stationary and Isotropic Vector Random Fields on Spheres. Mathematical Geosciences, v.44 no.6 pp.765-778	en_US
dc.identifier.issn	1874-8961
dc.identifier.other	WOS:000306593700006
dc.identifier.uri	http://dx.doi.org/10.1007/s11004-012-9411-8
dc.identifier.uri	http://hdl.handle.net/10057/5269
dc.description	Click on the DOI link below to access the article (may not be free).	en_US
dc.description.abstract	This paper presents the characterization of the covariance matrix function of a Gaussian or second-order elliptically contoured vector random field on the sphere which is stationary, isotropic, and mean square continuous. This characterization involves an infinite sum of the products of positive definite matrices and Gegenbauer's polynomials, and may not be available for other non-Gaussian vector random fields on spheres such as a chi (2) or log-Gaussian vector random field. We also offer two simple but efficient constructing approaches, and derive some parametric covariance matrix structures on spheres.	en_US
dc.language.iso	en_US	en_US
dc.publisher	Springer	en_US
dc.relation.ispartofseries	Mathematical Geosciences;v.44 no.6
dc.subject	Absolutely monotone function	en_US
dc.subject	Cross covariance	en_US
dc.subject	Covariance matrix function	en_US
dc.subject	Direct covariance	en_US
dc.subject	Elliptically contoured random field	en_US
dc.subject	Gaussian random field	en_US
dc.subject	Gegenbauer's polynomials	en_US
dc.subject	Positive definite matrix	en_US
dc.title	Stationary and isotropic vector random fields on spheres	en_US
dc.type	Article	en_US
dc.description.version	Peer reviewed
dc.rights.holder	Copyright 2012 Springer