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Teoriya Veroyatnostei i ee Primeneniya, 1964, Volume 9, Issue 3, Pages 547–550 (Mi tvp403)  
Short Communications

On Polynomial Statistics for the Normal and Related Laws

A. A. Singera, Yu. V. Linnikb

a Leningrad
b Leningrad
Full-text PDF (270 kB)
Abstract: Polynomial statistics are studied for a normal vector and a random vector related to the normal one (this concept is defined by means of differential equations). It is proved that the independence property of polynomial statistics is, roughly speaking, equivalent to the absence of correlation between a finite number of special functions of them. A similar statement holds for the property of equidistribution of polynomial statistics.
Received: 31.01.1964
English version:
Theory of Probability and its Applications, 1964, Volume 9, Issue 3, Pages 494–497
DOI: https://doi.org/10.1137/1109068
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. A. Singer, Yu. V. Linnik, “On Polynomial Statistics for the Normal and Related Laws”, Teor. Veroyatnost. i Primenen., 9:3 (1964), 547–550; Theory Probab. Appl., 9:3 (1964), 494–497
Citation in format AMSBIB
\Bibitem{ZinLin64}
\by A.~A.~Singer, Yu.~V.~Linnik
\paper On Polynomial Statistics for the Normal and Related Laws
\jour Teor. Veroyatnost. i Primenen.
\yr 1964
\vol 9
\issue 3
\pages 547--550
\mathnet{http://mi.mathnet.ru/tvp403}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=168063}
\zmath{https://zbmath.org/?q=an:0171.40003}
\transl
\jour Theory Probab. Appl.
\yr 1964
\vol 9
\issue 3
\pages 494--497
\crossref{https://doi.org/10.1137/1109068}
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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