Geodesic
An inequality for distributions of quadratic forms in normal random variables
Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 680-684 
L. S. Ponomarenko. An inequality for distributions of quadratic forms in normal random variables. Teoriâ veroâtnostej i ee primeneniâ, Tome 23 (1978) no. 3, pp. 680-684. http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a22/
@article{TVP_1978_23_3_a22,
     author = {L. S. Ponomarenko},
     title = {An inequality for distributions of quadratic forms in normal random variables},
     journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
     pages = {680--684},
     year = {1978},
     volume = {23},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TVP_1978_23_3_a22/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the paper lower estimates for the distributions of quadratic forms in normal random variables are obtained.