On the independence of the linear and quadratic forms on independent random variables
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 1, pp. 17-41 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider generalizations of the Laha's theorem on the independence of the sample mean and the quadratic form for any linear and quadratic forms.
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K. I. Kabanov. On the independence of the linear and quadratic forms on independent random variables. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 1, pp. 17-41. http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a1/