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关于—混合序列的若干强极限定理 被引量：3

Some Limit Theorems for —mixing Random Variable Sequences
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摘要 运用截尾的方法和三级数定理,在一定条件下研究了—混合随机变量序列的强大数定理。 Applying of truncation methods and three series theorem, the strong law of large number for p-mixing random variable sequences is discussed under certain conditions.
作者 唐健 汪忠志
机构地区 安徽工业大学数理学院
出处 《安徽工业大学学报（自然科学版）》 CAS 2009年第3期313-317,共5页 Journal of Anhui University of Technology（Natural Science）
基金 国家自然科学基金(10571076) 安徽省教育厅科研项目(2006kj246B)
关键词 -混合随机变量序列 三级数定理 强大数定理 ρ-mixing random variable sequences three series theorem strong law of large number
分类号 O211.4 [理学—概率论与数理统计]
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参考文献8

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同被引文献15

  • 1LIU Li School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China.Necessary and sufficient conditions for moderate deviations of dependent random variables with heavy tails[J].Science China Mathematics,2010,53(6):1421-1434. 被引量：44
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  • 4Mason D M. An extended version of the Erdas-R e nyi strong law of large numbers[J].Annals of Probability,1989,17(1):257-265.
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  • 6Gaposhkin V F. The law of large numbers for moving averages of independent random[J]. Mathematicheskie Zametid, 1987,42(1):124-131.
  • 7Shepp L A. A Limit law of concerning moving averages[J]. Annals of Mathematical Statistcis, 1964,35(1):424-428.
  • 8Jain N C. Tail probabilities for sums of independent Ba-nach space valued random variables[J].ProbabilityTheory and Related Fields,1975.155-166.
  • 9Caposhkin V F. The law of large numbers for moving av-erages of independent random[J].MathematicheskieZametki,1987,(01):124-131.
  • 10Mason D M. An extended version of the Erdos-R e nyistrong law of large numbers[J].Annals of Probability,1989,(01):257-265.

引证文献3

二级引证文献2

安徽工业大学学报（自然科学版）
2009年 第3期

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