On the necessity of Statulevičius' condition in limit theorems for large-deviation probabilities

On the necessity of Statulevičius' condition in limit theorems for large-deviation probabilities
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论大偏差概率极限定理中Statulevičius条件的必要性

DOI:
10.1007/bf02465843
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发表时间:
1999
影响因子:
0.4
通讯作者:
N. Amosova
N. Amosova
中科院分区:
数学4区
文献类型:
--
作者:
N. Amosova

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对于均值为零且方差为单位的独立同分布随机变量序列,研究了大偏差概率极限定理中Statulevičius条件的必要性问题.
For a sequence of independent identically distributed random variables with zero mean and unit variance, the problem of necessity of Statulevičius' condition in limit theorems for large-deviation probabilities is investigated.