# On self-normalized sums and student's statistic

(2005) On self-normalized sums and student's statistic. Theory of Probability and Its Applications, 49 (2) . pp. 336-344. ISSN 0040-585X [Article] (doi:10.1137/S0040585X97981081)

## 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 13 Oct 2016 14:12 https://eprints.mdx.ac.uk/id/eprint/586