Geodesic
On Polynomial Statistics for the Normal and Related Laws
Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 3, pp. 547-550

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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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     author = {A. A. Singer and Yu. V. Linnik},
     title = {On {Polynomial} {Statistics} for the {Normal} and {Related} {Laws}},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
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     number = {3},
     year = {1964},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1964_9_3_a13/}
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A. A. Singer; Yu. V. Linnik. On Polynomial Statistics for the Normal and Related Laws. Teoriâ veroâtnostej i ee primeneniâ, Tome 9 (1964) no. 3, pp. 547-550. http://geodesic.mathdoc.fr/item/TVP_1964_9_3_a13/