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Teoriya Veroyatnostei i ee Primeneniya, 2005, Volume 50, Issue 4, Pages 776–778
DOI: https://doi.org/10.4213/tvp132 (Mi tvp132) 		 
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
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DOI: https://doi.org/10.4213/tvp132
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
English version:
Theory of Probability and its Applications, 2006, Volume 50, Issue 4, Pages 685–687
DOI: https://doi.org/10.1137/S0040585X97982062
Bibliographic databases:
Document Type: Article
Language: Russian
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
Citation in format AMSBIB
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\transl
\jour Theory Probab. Appl.
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  • https://doi.org/10.4213/tvp132
  • https://www.mathnet.ru/eng/tvp/v50/i4/p776
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    		Теория вероятностей и ее применения Theory of Probability and its Applications
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