The asymptotic Berry–Esseen constant for intervals
Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 2, pp. 381-384
Cet article a éte moissonné depuis la source Math-Net.Ru
@article{TVP_2012_57_2_a10,
author = {T. Dinev and L. Mattner},
title = {The asymptotic {Berry{\textendash}Esseen} constant for intervals},
journal = {Teori\^a vero\^atnostej i ee primeneni\^a},
pages = {381--384},
year = {2012},
volume = {57},
number = {2},
language = {en},
url = {http://geodesic.mathdoc.fr/item/TVP_2012_57_2_a10/}
}
T. Dinev; L. Mattner. The asymptotic Berry–Esseen constant for intervals. Teoriâ veroâtnostej i ee primeneniâ, Tome 57 (2012) no. 2, pp. 381-384. http://geodesic.mathdoc.fr/item/TVP_2012_57_2_a10/
[1] Esseen C.-G., “Fourier analysis of distribution functions”, Acta Math., 77:1 (1945), 1–125 | DOI | MR
[2] Esseen C.-G., “A moment inequality with an application to the central limit theorem”, Skand. Aktuarietidskr., 39:2 (1956), 160–170 | MR
[3] Rogozin B. A., “Odno zamechanie k state Esseena «Momentnoe neravenstvo s primeneniem k tsentralnoi predelnoi teoreme»”, Teoriya veroyatn. i ee primen., 5:1 (1960), 125–128 | MR
[4] Shevtsova I. G., On the absolute constants in the Berry–Esseen type inequalities for identically distributed summands, Preprint, 2011, arXiv: 1111.6554v1
[5] von Mises R., “An inequality for the moments of a discontinuous distribution”, Skand. Aktuarietidskr., 22 (1938), 32–36