ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

数学物理学报(英文版) ›› 1996, Vol. 16 ›› Issue (3): 287-295.

ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

龙红卫

Institute of Mathematical Sciences, Academia Sinica, Wuhan 430071, China

收稿日期:1994-03-17 修回日期:1994-09-14 出版日期:1996-09-25 发布日期:1996-09-25
基金资助:
Research supported by the National Natural Science Foundation of China.

ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

Long Hongwei

Institute of Mathematical Sciences, Academia Sinica, Wuhan 430071, China

Received:1994-03-17 Revised:1994-09-14 Online:1996-09-25 Published:1996-09-25
Supported by:
Research supported by the National Natural Science Foundation of China.

摘要/Abstract

摘要： In this paper we obtain the uniform bounds on the rate of convergence in the central limit theorem (CLT) for a class of two-parameter martingale difference sequences under certain conditions.

关键词: noncomplete half-plane martingale difference, central limit theorem, rates of convergence, uniform bound

Abstract: In this paper we obtain the uniform bounds on the rate of convergence in the central limit theorem (CLT) for a class of two-parameter martingale difference sequences under certain conditions.

Key words: noncomplete half-plane martingale difference, central limit theorem, rates of convergence, uniform bound

龙红卫. ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES[J]. 数学物理学报(英文版), 1996, 16(3): 287-295.

Long Hongwei. ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES[J]. Acta mathematica scientia,Series B, 1996, 16(3): 287-295.

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ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

ON THE RATES OF CONVERGENCE IN THE CENTRAL LIMIT THEOREM FOR TWO-PARAMETER MARTINGALE DIFFERENCES

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