an:06661759
Zbl 1353.60048
Ma, Chunsheng
Time varying axially symmetric vector random fields on the sphere
EN
Random Oper. Stoch. Equ. 24, No. 4, 255-266 (2016).
00361202
2016
j
60G60 60G15 62M40 62M10 62M30
axially symmetric random fields; covariance matrix function; elliptically contoured random field; Gaussian random field; stationarity
Summary: 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.