Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 153 (1986), pp. 37-44
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A. A. Zinger; A. M. Kagan. Contribution to the analytic theory of linear forms of independent random variables. Zapiski Nauchnykh Seminarov POMI, Boundary-value problems of mathematical physics and related problems of function theory. Part 18, Tome 153 (1986), pp. 37-44. http://geodesic.mathdoc.fr/item/ZNSL_1986_153_a3/
@article{ZNSL_1986_153_a3,
author = {A. A. Zinger and A. M. Kagan},
title = {Contribution to the analytic theory of linear forms of independent random variables},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {37--44},
year = {1986},
volume = {153},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1986_153_a3/}
}
TY - JOUR
AU - A. A. Zinger
AU - A. M. Kagan
TI - Contribution to the analytic theory of linear forms of independent random variables
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1986
SP - 37
EP - 44
VL - 153
UR - http://geodesic.mathdoc.fr/item/ZNSL_1986_153_a3/
LA - ru
ID - ZNSL_1986_153_a3
ER -
%0 Journal Article
%A A. A. Zinger
%A A. M. Kagan
%T Contribution to the analytic theory of linear forms of independent random variables
%J Zapiski Nauchnykh Seminarov POMI
%D 1986
%P 37-44
%V 153
%U http://geodesic.mathdoc.fr/item/ZNSL_1986_153_a3/
%G ru
%F ZNSL_1986_153_a3
Characterizations of the Gaussian distribution through natural properties of linear forms of independent random variables are refined by replacing the $\sigma$-algebra generated by one form with a finite dimensional space of the polynomials in this form.