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

Viktor B. Troshki | Zendy

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

Author(s) -

Viktor B. Troshki

Publication year - 2015

Publication title -

carpathian mathematical publications

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.63

H-Index - 4

eISSN - 2313-0210

pISSN - 2075-9827

DOI - 10.15330/cmp.7.1.114-119

Subject(s) - mathematics , covariance function , isotropy , covariance , random field , homogeneous , gaussian , field (mathematics) , norm (philosophy) , gaussian random field , function (biology) , mean square , mathematical analysis , statistics , gaussian function , combinatorics , pure mathematics , physics , quantum mechanics , evolutionary biology , biology , political science , law

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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