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- Title
Time varying axially symmetric vector random fields on the sphere.
- Authors
Chunsheng Ma
- Abstract
This paper presents a general form of the covariance matrix structure for a vector random field that is axially symmetric and mean square continuous on the sphere and provides a series representation for a longitudinally reversible one. The series representation is somehow an imitator of the covariance matrix function, and both of them have simpler forms than those proposed in the literature in terms of the associated Legendre functions and are useful for modeling and simulation. Also, a general form of the covariance matrix structure is derived for a spatio-temporal vector random field that is axially symmetric and mean square continuous over the sphere, and a series representation is given for a longitudinally reversible one.
- Subjects
RANDOM fields; COVARIANCE matrices; LEGENDRE'S functions; MEAN square algorithms; SIMULATION methods &; models
- Publication
Random Operators & Stochastic Equations, 2016, Vol 24, Issue 4, p255
- ISSN
0926-6364
- Publication type
Article
- DOI
10.1515/rose-2016-0018