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混合序列的Hájeck-Rènyi型不等式及强大数律
The Hájeck-Rènyi Inequality and Strong Law of Large Numbers for -mixing Sequences
【摘要】 利用Utev S.和Peligrad M.不等式,得到了-混合随机变量序列的Hájeck-Rènyi不等式、三级数定理和Chung型强大数律,改进了甘师信与吴群英等人的结论,达到了与独立时一致的结果.
【Abstract】 By the Utev S.and Peligrad M.inequality of-mixing random variable sequence,we obtain the Hájeck-Rènyi inequality and three series theorem and Chung′s strong law of large numbers for-mixing random variable sequence,which extend and improve the corresponding results of Gan shixin and Wu Qunying,these resuls are consistent with that for independent random variable sequence.
【关键词】 混合随机变量序列;
Hájeck-Rènyi不等式;
强大数律;
【Key words】 -mixing random variables sequences; the Hájeck-Rènyi inequality; strong law of large numbers;
【Key words】 -mixing random variables sequences; the Hájeck-Rènyi inequality; strong law of large numbers;
【基金】 湖南省自科基金(04JJ40009)
- 【文献出处】 数学的实践与认识 ,Mathematics in Practice and Theory , 编辑部邮箱 ,2007年03期
- 【分类号】O211.1
- 【被引频次】11
- 【下载频次】81