Geodesic
On self-normalized sums and Student's statistic
Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 365-373 Cet article a éte moissonné depuis la source Math-Net.Ru

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We evaluate the accuracy of normal approximation for the distributions of some non-linear functionals of sums of random vectors. A Berry–Esseen-type inequality with explicit constants for the distribution of Student's statistic is established as a consequence of the main result.
Keywords: self-normalized sums, Student's statistic, Berry–Esseen inequality. 
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S. Yu. Novak. On self-normalized sums and Student's statistic. Teoriâ veroâtnostej i ee primeneniâ, Tome 49 (2004) no. 2, pp. 365-373. http://geodesic.mathdoc.fr/item/TVP_2004_49_2_a9/

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