An improvement of convergence rate estimates in the Lyapunov theorem-Reference-Cited by-同舟云学术

An improvement of convergence rate estimates in the Lyapunov theorem

Published:2010-12 Issue:3 Volume:82 Page:862-864
ISSN:1064-5624
Container-title:Doklady Mathematics
language:en
Short-container-title:Dokl. Math.

Author:

Shevtsova I. G.

Publisher

Pleiades Publishing Ltd

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1134/S1064562410060062.pdf

Reference9 articles.

1. R. N. Bhattacharyya and R. Rao, Normal Approximation and Asymptotic Expansions (New York, Wiley, 1976; Nauka, Moscow, 1982).

2. V. Korolev and I. Shevtsova, An Improvement of the Berry-Esseen Inequality with Applications to Poisson and Mixed Poisson Random Sums, Scand. Actuar. J. (2010), http://www.informaworld.com/10.1080/03461238 . 2010.485370, 4 June 2010.

3. I. S. Tyurin, Dokl. Math. 80, 840–843 (2009) [Dokl. Akad. Nauk 429, 312–316 (2009)].

4. I. Tyurin, Usp. Mat. Nauk 65(3 (393)), 201–202 (2010).

5. V. Bentkus and K. Kirsha, Litov. Mat. Sb. 29, 657–673 (1989).

Cited by 70 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. The “Power of Few” Phenomenon: The Sparse Case;Random Structures & Algorithms;2024-09-14

2. On the Convergence of Nonlinear Averaging Dynamics with Three-Body Interactions on Hypergraphs;SIAM Journal on Applied Dynamical Systems;2024-09-04

3. Quasi‐majority functional voting on expander graphs;Random Structures & Algorithms;2024-05-21

4. Combinatorial Problems and Extreme Values;Springer Series in Operations Research and Financial Engineering;2024

5. Normal and nonnormal approximation by Stein's method;Handbook of Statistics;2024