Sharp orders of convergence in the random central limit theorem-Reference-Cited by-同舟云学术

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Sharp orders of convergence in the random central limit theorem

Published:1988-04 Issue:1 Volume:53 Page:86-111
ISSN:0021-9045
Container-title:Journal of Approximation Theory
language:en
Short-container-title:Journal of Approximation Theory

Author:

Landers Dieter,Rogge Lothar

Publisher

Elsevier BV

Subject

Applied Mathematics,General Mathematics,Numerical Analysis,Analysis

Reference25 articles.

1. The Accuracy of the Normal Approximation for U-Statistics with a random Summation Index Converging to a Random Variable;Aerts;Technical report,1982

2. On the Berry-Esseen theorem for random U-statistics;Ahmad;Ann. Statist.,1980

3. Normal Approximation and Asymptotic Expansions;Bhattacharya,1976

4. On the central limit theorem for the sum of a random number of independent random variables;Blum;Z. Wahrsch. Verw. Gebiete,1963

5. Equi-convergence of martingales;Boylan;Ann. Math. Statist.,1971

Cited by 4 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. Random central limit theorem for associated random variables and the order of approximation;Statistics & Probability Letters;2016-04

2. Convergence rates for stopped random sums;Journal of Computational and Applied Mathematics;1994-09

3. The exact approximation order of the random maximum Of cumulative sums Of independent variables;Sequential Analysis;1993-01

4. On the speed of convergence of the distribution of random sums of weighted independent variables;Sequential Analysis;1991-01

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