Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 161-166
Citer cet article
N. V. Smorodina. Conditions of smoothness of density for $L_p$-norm distribution of Gaussian random vector. Zapiski Nauchnykh Seminarov POMI, Problems of the theory of probability distributions. Part X, Tome 158 (1987), pp. 161-166. http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a16/
@article{ZNSL_1987_158_a16,
author = {N. V. Smorodina},
title = {Conditions of smoothness of density for $L_p$-norm distribution of {Gaussian} random vector},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {161--166},
year = {1987},
volume = {158},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a16/}
}
TY - JOUR
AU - N. V. Smorodina
TI - Conditions of smoothness of density for $L_p$-norm distribution of Gaussian random vector
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1987
SP - 161
EP - 166
VL - 158
UR - http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a16/
LA - ru
ID - ZNSL_1987_158_a16
ER -
%0 Journal Article
%A N. V. Smorodina
%T Conditions of smoothness of density for $L_p$-norm distribution of Gaussian random vector
%J Zapiski Nauchnykh Seminarov POMI
%D 1987
%P 161-166
%V 158
%U http://geodesic.mathdoc.fr/item/ZNSL_1987_158_a16/
%G ru
%F ZNSL_1987_158_a16
In this paper sufficient conditions are given for the smoothness indicated in the title. The restrictions on the Gaussian measure are connected only with the dimension of its topological support.
