On Polynomial Statistics for the Normal and Related Laws

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1964 English Publisher:Society for Industrial & Applied Mathematics (SIAM)Journal:Theory of Probability & Its Applications, volume 9, pages 494-497 (issn: 0040-585X, eissn: 1095-7219,

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Authors: Zinger, A. A.; Linnik, Yu. V.;

doi: 10.1137/1109068

On Polynomial Statistics for the Normal and Related Laws

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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.

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statistics

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