@article{AIHPB_2005__41_1_35_0,
author = {Ouchti, Lahcen},
title = {On the rate of convergence in the central limit theorem for martingale difference sequences},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
pages = {35--43},
year = {2005},
publisher = {Elsevier},
volume = {41},
number = {1},
doi = {10.1016/j.anihpb.2004.03.003},
mrnumber = {2110445},
zbl = {1063.60060},
language = {en},
url = {https://www.numdam.org/articles/10.1016/j.anihpb.2004.03.003/}
}
TY - JOUR AU - Ouchti, Lahcen TI - On the rate of convergence in the central limit theorem for martingale difference sequences JO - Annales de l'I.H.P. Probabilités et statistiques PY - 2005 SP - 35 EP - 43 VL - 41 IS - 1 PB - Elsevier UR - https://www.numdam.org/articles/10.1016/j.anihpb.2004.03.003/ DO - 10.1016/j.anihpb.2004.03.003 LA - en ID - AIHPB_2005__41_1_35_0 ER -
%0 Journal Article %A Ouchti, Lahcen %T On the rate of convergence in the central limit theorem for martingale difference sequences %J Annales de l'I.H.P. Probabilités et statistiques %D 2005 %P 35-43 %V 41 %N 1 %I Elsevier %U https://www.numdam.org/articles/10.1016/j.anihpb.2004.03.003/ %R 10.1016/j.anihpb.2004.03.003 %G en %F AIHPB_2005__41_1_35_0
Ouchti, Lahcen. On the rate of convergence in the central limit theorem for martingale difference sequences. Annales de l'I.H.P. Probabilités et statistiques, Tome 41 (2005) no. 1, pp. 35-43. doi: 10.1016/j.anihpb.2004.03.003
[1] , The accuracy of the Gaussian approximation to the sum of independent variates, Trans. Amer. Math. Soc. 49 (1941) 122-136. | MR | JFM
[2] , Convergence of Probability Measures, Wiley, 1968. | Zbl | MR
[3] , Exact convergence rates in some martingale central limit theorems, Ann. Probab. 10 (3) (1982) 672-688. | Zbl | MR
[4] M. El Machkouri, D. Volný, On the central and local limit theorems for martingale difference sequences, Stochastics and Dynamics, submitted for publication. | Zbl | MR
[5] , On the Liapounoff limit of error in the theory of probability, Ark. Math. Astr. och Fysik A 28 (1942) 1-19. | MR | JFM
[6] , , Limit Distributions for Sums of Independent Random Variables, Addison-Wesley, Reading, MA, 1954, translated by K.L. Chung. | Zbl | MR
[7] W.F. Grams, Rate of convergence in the central limit theorem for dependent variables, Dissertation, Florida State Univ., 1972.
[8] , On the rate of convergence in the central limit theorem for martingales with discrete and continuous time, Ann. Probab. 16 (1) (1988) 275-299. | Zbl | MR
[9] , On the rate of convergence in mean central limit theorem for martingale differences, Rep. Statist. Appl. Res. Un. Japan. Sci. Engrs. 23 (1976) 10-15. | Zbl | MR
[10] , , Martingale Limit Theory and Its Application, Academic Press, New York, 1980. | Zbl | MR
[11] , A central limit theorem for a class of dependent random variables, Theory Probab. Appl. 8 (1963) 83-89. | Zbl | MR
[12] , Rates of convergence in central limit theorem for martingale differences, Bull. Math. Statist. 18 (1979) 1-8. | Zbl | MR
[13] , Probability Theory, D. Van Nostrand, Princeton, NJ, 1955. | Zbl | MR
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