Distribution of the Fractional Parts of Random Vectors: The Gaussian Case. II

This paper improves the inequalities for deviation of a density of the fractional part of the $s$-dimensional Gaussian random vector from 1 (uniform distribution density) obtained in part I [Theory Probab. Appl., 48 (2004), pp. 355-359].

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Bibliographic Details
Published in:Theory of probability and its applications 2006-01, Vol.50 (4), p.685-687
Main Authors: Kulikova, A. A., Prokhorov, Yu. V., Khokhlov, V. I.
Format: Article
Language:English
Subjects:
Computational mathematics
Prime numbers
Random variables
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Summary:This paper improves the inequalities for deviation of a density of the fractional part of the $s$-dimensional Gaussian random vector from 1 (uniform distribution density) obtained in part I [Theory Probab. Appl., 48 (2004), pp. 355-359].
ISSN:0040-585X
1095-7219
DOI:10.1137/S0040585X97982062