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

Authors

  • V.B. Troshki Taras Shevchenko National University, 64/13 Volodymyrska str., 01601, Kyiv, Ukraine
https://doi.org/10.15330/cmp.7.1.114-119

Keywords:

criterion for testing hypotheses, spherical correlogram, isotropic field
Published online: 2015-07-03

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.

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How to Cite
(1)
Troshki, V. A New Criterion for Testing Hypothesis about the Covariance Function of the Homogeneous and Isotropic Random Field. Carpathian Math. Publ. 2015, 7, 114-119.