5 papers
Isotropic covariance matrix functions on compact two-point homogeneous spaces
Tianshi Lu, Chunsheng Ma
The covariance matrix function is characterized in this paper for a Gaussian or elliptically contoured vector random field that is stationary, isotropic, and mean square continuous…
Time-Varying Isotropic Vector Random Fields on Compact Two-Point Homogeneous Spaces
Chunsheng Ma, Anatoliy Malyarenko
A general form of the covariance matrix function is derived in this paper for a vector random field that is isotropic and mean square continuous on a compact connected two-point ho…
Time varying axially symmetric vector random fields on the sphere
Chunsheng Ma
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 se…
Time Varying Isotropic Vector Random Fields on Spheres
Chunsheng Ma
For a vector random field that is isotropic and mean square continuous on a sphere and stationary on a temporal domain, this paper derives a general form of its covariance matrix f…
Priority and correctness on "From Schoenberg to Pick-Nevanlinna: Toward a complete picture of the variogram class" by Porcu and Schilling (2011, arXiv:0812.2936)
Chunsheng Ma
It is not the purpose of this correspondence to complain about that six out of seven theorems listed in Porcu and Schilling (arXiv:0812.2936; 2011, Bernoulli) belong to others, but…