Geodesic
An improvement of the residual in the Lyapunov theorem
Teoriâ veroâtnostej i ee primeneniâ, Tome 56 (2011) no. 4, pp. 808-811 Cet article a éte moissonné depuis la source Math-Net.Ru

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     author = {I. S. Tyurin},
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}
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I. S. Tyurin. An improvement of the residual in the Lyapunov theorem. Teoriâ veroâtnostej i ee primeneniâ, Tome 56 (2011) no. 4, pp. 808-811. http://geodesic.mathdoc.fr/item/TVP_2011_56_4_a13/

[1] Esseen C.-G., “On the Liapunoff limit of error in the theory of probability”, Ark. Mat. Astron. Fys., A28:9 (1942), 1–19 | MR | Zbl

[2] Shevtsova I. G., “Utochnenie verkhnei otsenki absolyutnoi postoyannoi v neravenstve Berri–Esseena”, Teoriya veroyatn. i ee primen., 51:3 (2006), 622–626

[3] Tyurin I. S., “O tochnosti gaussovskoi approksimatsii”, Dokl. RAN, 429:3 (2009), 312–316 | Zbl

[4] Tyurin I. S., “O skorosti skhodimosti v teoreme Lyapunova”, Teoriya veroyatn. i ee primen., 55:2 (2010), 250–270

[5] Korolev V. Yu., Shevtsova I. G., “O verkhnei otsenke absolyutnoi postoyannoi v neravenstve Berri–Esseena”, Teoriya veroyatn. i ee primen., 54:4 (2009), 671–695

[6] Tyurin I. S., “Utochnenie verkhnikh otsenok konstant v teoreme Lyapunova”, Uspekhi matem. nauk, 65:3 (2010), 201–202 | Zbl

[7] Tyurin I. S., “Some new results concerning the rate of convergence in Lyapunov's theorem”, Abstracts of the 10th International Vilnius Conference on Probability Theory and Mathematical Statistics, Vilnius, Lithuania, 2010, 279

[8] Korolev V. Yu., Shevtsova I. G., “An improvement of the Berry–Esseen inequality”, Abstracts of the 10th International Vilnius Conference on Probability Theory and Mathematical Statistics, Vilnius, Lithuania, 2010, 195–196 | MR

[9] Korolev V. Yu., Shevtsova I. G., “An improvement of the Berry–Esseen inequality with applications to Poisson and mixed Poisson random sums”, Scand. Actuar. J., iFirst, 2010 | DOI | MR

[10] Shevtsova I. G., “Utochnenie otsenok skorosti skhodimosti v teoreme Lyapunova”, Doklady RAN, 435:1 (2010), 26–28 | MR | Zbl

[11] Prawitz H., “On the remainder in the central limit theorem. I: One-dimensional independent variables with finite absolute moments of third order”, Scand. Actuar. J., 1975, no. 3, 145–156 | DOI | MR | Zbl