On the remained term for the central limit theorem

On the remained term for the central limit theorem
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关于中心极限定理的剩余项

DOI:
10.1007/bf02479815
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发表时间:
1974
影响因子:
1
通讯作者:
R. Shimizu
R. Shimizu
中科院分区:
数学4区
文献类型:
--
作者:
R. Shimizu

文献摘要

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SummaryAn upper bound for the remainder term of the Edgeworth expansion for the distribution of the normalized sum of independent and identically distributed random variables is given in terms of 3rd and 4th order moments, together with the total variation of the probability density function of the underlying distribution.