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Teoriya Veroyatnostei i ee Primeneniya, 1970, Volume 15, Issue 3, Pages 562–563 (Mi tvp1869)  
Short Communications

On a property of the correlation coefficient

O. V. Sarmanov

Moscow
Full-text PDF (101 kB)
Abstract: Let (4) be a two-dimensional density function, then the correlation coefficient between $\xi$ and $\eta$ is equal zero, if and only if they are independent.
Received: 19.02.1970
English version:
Theory of Probability and its Applications, 1970, Volume 15, Issue 3, Pages 544–546
DOI: https://doi.org/10.1137/1115062
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: O. V. Sarmanov, “On a property of the correlation coefficient”, Teor. Veroyatnost. i Primenen., 15:3 (1970), 562–563; Theory Probab. Appl., 15:3 (1970), 544–546
Citation in format AMSBIB
\Bibitem{Sar70}
\by O.~V.~Sarmanov
\paper On a~property of the correlation coefficient
\jour Teor. Veroyatnost. i Primenen.
\yr 1970
\vol 15
\issue 3
\pages 562--563
\mathnet{http://mi.mathnet.ru/tvp1869}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=278434}
\zmath{https://zbmath.org/?q=an:0222.62024|0204.52803}
\transl
\jour Theory Probab. Appl.
\yr 1970
\vol 15
\issue 3
\pages 544--546
\crossref{https://doi.org/10.1137/1115062}
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