A new criterion for testing hypothesis about the covariance function of the homogeneous and isotropic random field

In this paper, we consider a continuous in mean square homogeneous and isotropic Gaussian random field. A criterion for testing hypotheses about the covariance function of such field using estimates for its norm in the space $L_p(\mathbb{T}), p\geq 1$ is constructed.

Bibliographic Details
Main Author: V.B. Troshki
Format: Article
Language:English
Published: Vasyl Stefanyk Precarpathian National University 2015-07-01
Series:Karpatsʹkì Matematičnì Publìkacìï
Subjects:
Online Access:https://journals.pnu.edu.ua/index.php/cmp/article/view/1390