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Teoriya Veroyatnostei i ee Primeneniya, 1979, Volume 24, Issue 1, Pages 160–164 (Mi tvp966)  

Short Communications

Some examples of equivalent and orthogonal Gaussian distributions

S. M. Krasnits'kiĭ

Kiev
Abstract: Let $t = (t_1,\dots, t_N)\subset T\in E^N$, $\lambda=(\lambda_1,\dots,\lambda_N)\in E^N$, $E^N$ be the $N$-dimensional Euclidean space, $\xi_i\colon T \to E^1$, $i=1,2$, be homogeneous Gaussian fields, and let $\nu_1$, $\nu_2$ be measures induced by $\xi_1$, $\xi_2$. The random fields $\xi_1$ and $\xi_2$ are supposed to have the rational spectral densities. Three examples illustrating the difference between the cases $N=1$ and $N\ge 2$ are given.
Received: 22.07.1977
English version:
Theory of Probability and its Applications, 1979, Volume 24, Issue 1, Pages 161–165
DOI: https://doi.org/10.1137/1124015
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: S. M. Krasnits'kiǐ, “Some examples of equivalent and orthogonal Gaussian distributions”, Teor. Veroyatnost. i Primenen., 24:1 (1979), 160–164; Theory Probab. Appl., 24:1 (1979), 161–165
Citation in format AMSBIB
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\paper Some examples of equivalent and orthogonal Gaussian distributions
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\yr 1979
\vol 24
\issue 1
\pages 160--164
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\transl
\jour Theory Probab. Appl.
\yr 1979
\vol 24
\issue 1
\pages 161--165
\crossref{https://doi.org/10.1137/1124015}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=A1979JX60900014}
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  • https://www.mathnet.ru/eng/tvp/v24/i1/p160
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