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This article is cited in 2 scientific papers (total in 2 papers)
Short Communications
Distribution of fractional parts of random vectors: Gaussian case. II
A. A. Kulikovaa, Yu. V. Prokhorovb, V. I. Khokhlovb a M. V. Lomonosov Moscow State University, Faculty of Computational Mathematics and Cybernetics
b Steklov Mathematical Institute, Russian Academy of Sciences
Abstract:
This paper improves the inequalities for deviation from 1 of a density of the fractional part of the $s$-dimensional Gaussian random vector (uniform distribution density) obtained in part I [Theory Probab. Appl., 48 (2004), pp. 355–359].
Keywords:
uniform distribution, Poisson summation formula, fractional Gaussian vectors.
Received: 16.11.2005
Citation:
A. A. Kulikova, Yu. V. Prokhorov, V. I. Khokhlov, “Distribution of fractional parts of random vectors: Gaussian case. II”, Teor. Veroyatnost. i Primenen., 50:4 (2005), 776–778; Theory Probab. Appl., 50:4 (2006), 685–687
Linking options:
https://www.mathnet.ru/eng/tvp132https://doi.org/10.4213/tvp132 https://www.mathnet.ru/eng/tvp/v50/i4/p776
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