Uniform Estimate for Distributions of the Sum of i.i.d. Random Variables with Fat Tail

被引:0
|
作者
Fushiya, Hirotaka [1 ]
Kusuoka, Shigeo [2 ]
机构
[1] Aoyama Gakuin Univ, Sch Social Informat, Tokyo 150, Japan
[2] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan
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D O I
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中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The research on asymptotic behavior of distributions of the sum of i.i.d random variables has a long history and a lot of facts are known. The authors consider the case where the distribution of a random variable has the second moment but has a fat tail, and they show a new limit theorem for large deviations.
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页码:79 / 121
页数:43
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