# On self-normalized sums and student's statistic

Novak, Serguei (2005) On self-normalized sums and student's statistic. Theory of Probability and Its Applications, 49 (2). pp. 336-344. ISSN 0040-585X

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## Abstract

We evaluate the accuracy of normal approximation for the distributions of some nonlinear functionals of sums of random vectors. A Berry--Esseen type inequality {\em with explicit constants} for the distribution of Student's statistic is established as a consequence of the main result.

Item Type: Article A. > School of Science and Technology > Design Engineering and Mathematics 0 586 Middlesex University Expert Profile Repository team 28 Nov 2008 14:27 27 Jan 2016 11:54 http://eprints.mdx.ac.uk/id/eprint/586