Open AccessA 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 -
karpatsʹkì matematičnì publìkacìï
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.