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JOURNALS // Teoriya Veroyatnostei i ee Primeneniya // Archive
Teor. Veroyatnost. i Primenen., 2005 Volume 50, Issue 4, Pages 776–778 (Mi tvp132)
This article is cited 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

DOI: 10.4213/tvp132


 English version: Theory of Probability and its Applications, 2006, 50:4, 685–687

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