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
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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.
@article{JMAG_2001_8_1_a1,
author = {K. I. Kabanov},
title = {On the independence of the linear and quadratic forms on independent random variables},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {17--41},
year = {2001},
volume = {8},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a1/}
}
TY - JOUR AU - K. I. Kabanov TI - On the independence of the linear and quadratic forms on independent random variables JO - Žurnal matematičeskoj fiziki, analiza, geometrii PY - 2001 SP - 17 EP - 41 VL - 8 IS - 1 UR - http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a1/ LA - ru ID - JMAG_2001_8_1_a1 ER -
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/