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一类独立随机变量列的平稳律
引用本文:祝东进.一类独立随机变量列的平稳律[J].安徽师范大学学报(自然科学版),2007,30(3):225-229.
作者姓名:祝东进
作者单位:安徽师范大学,数学计算机科学学院,安徽,芜湖,241000
摘    要:利用截尾法,研究了一类独立随机变量列的平稳律,在适当的条件下,证明了该随机变量列的部分和弱收敛到一个具有非退化分布的随机变量.

关 键 词:平稳律  弱收敛  非退化分布
文章编号:1001-2443(2007)03-0225-05
收稿时间:2007-01-30
修稿时间:2007-01-30

The Stable Laws of a Kind Independent Random Variable's Sequence
ZHU Dong-jin.The Stable Laws of a Kind Independent Random Variable's Sequence[J].Journal of Anhui Normal University(Natural Science Edition),2007,30(3):225-229.
Authors:ZHU Dong-jin
Institution:College of Mathematics and Computer Science, Anhui Normal University, Wuhu 241000, China
Abstract:By applying truncation method, the stable laws of a kind independent random variable's sequence was studied in this paper. We have proved that the part sum of this random variable's sequence converges weakly to a random variable which has a nondegenerate distribution.
Keywords:stable laws  weak convergence  nondegenerate distribution
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