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

V. B. Troshki

Abstract


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.


Keywords


criterion for testing hypotheses, spherical correlogram, isotropic field

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