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高校应用数学学报
Applied Mathematics A Journal of Chinese Universities  2015, Vol. 30 Issue (4): 425-431    DOI:
    
Law of iterated logarithm for WOD random variables sequences with different distributions
CAI Guang-hui, PAN Xue-yan
College of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou 310018, China
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Abstract  Basing on a law of the iterated logarithm for independent random variables sequences, an iterated logarithm theorem for WOD random variables sequences with different distributions is obtained. The proof is based on a Kolmogrov type exponential inequality.

Key words： different distribution      WOD random variables sequences      law of iterated logarithm     
Received: 04 July 2015      Published: 19 May 2018
CLC:  O211.4  
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CAI Guang-hui
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Cite this article:

CAI Guang-hui, PAN Xue-yan. Law of iterated logarithm for WOD random variables sequences with different distributions. Applied Mathematics A Journal of Chinese Universities, 2015, 30(4): 425-431.

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http://www.zjujournals.com/amjcua/     OR     http://www.zjujournals.com/amjcua/Y2015/V30/I4/425


不同分布WOD随机变量序列的重对数律

在一个独立随机变量序列的重对数律的基础上, 获得了一个不同分布WOD随机变量序列的重对数定理, 定理的证明基于一个Kolmogorov型指数不等式.

关键词： 不同分布,  WOD随机变量序列,  重对数律 
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