期刊文献+
任意字段
题名或关键词
题名
关键词
文摘
作者
第一作者
机构
刊名
分类号
参考文献
作者简介
基金资助
栏目信息

随机序列和的几乎必然收敛 被引量：1

Almost Sure Convergence for the Sums of Random Sequence
在线阅读 下载PDF
导出
摘要 通过研究上可加的r阶矩结构的随机序列和的几乎必然收敛性、收敛速度,给出了2个重要定理的证明,得出的随机序列和的收敛速度在数量级上已达到最优,并给出了定理的相关应用. In this paper, we mainly study almost sure convergence for the sums of random sequence under rth moment function of superadditive properties and convergence rate, and prove three important theorems. We obtain the best convergence rate for the sums of random sequence on the order of magnitude. The application is known, we obtain a new theorem.
作者 沈燕
机构地区 安徽大学数学与计算机科学学院
出处 《合肥学院学报（自然科学版）》 2006年第1期16-19,共4页 Journal of Hefei University :Natural Sciences
关键词 几乎必然收敛 收敛速度 上可加r阶矩结构 随机序列和 almost sure convergence almost sure convergence rate rth moment function of superaddit- ive structure sums of random sequence
分类号 O211.5 [理学—概率论与数理统计]
  • 相关文献

参考文献5

  • 1[1]Fazekas I,Klesov O.A general approach to the storng law of large numers[J].Theore Probab Appl,2000,45(2).
  • 2胡舒合.强大数定律的若干新结果[J].数学学报（中文版）,2003,46(6):1123-1134. 被引量：11
  • 3[3]Moricz F A.Moment inequalities and strong laws of large numbers[J].Z Wahrsch Verw Gebiete,1976,35(2):299-314.
  • 4[4]Mori T F.On the strong law of large numbers for logarithmically weighted sums[J].Ann Univ Sci Budapest,1999,36(1):35-46.
  • 5[5]Longnecker M,Serlfing R J.General moment and probability inequalities for the maximum partial sum[J].Acta Math Acad Sci Hungar,1977,30(1):129-133.

二级参考文献11

  • 1Brunk H. D., The strong law of large numbers, Duke Math. J., 1948, 15: 181-195.
  • 2Prokhorv Y. V., On the strong law of large numbers, Matem: Izv. ANSSSR Ser., 1950, 14: 523-536.
  • 3Stout W F. Almost sure convergence, London: Academic Press, Inc. 1974.
  • 4Lin Z. Y., Lu C. R., Su Z. G., Foundation of probability limit theorems, Beijing: Higher Education Press,1999 (in Chinese).
  • 5Loèye M., Probability theory, D. Van Nostrand Company, Inc. Second Edition, 1960.
  • 6Hall P., Heyde C. C., Martingale limit thoery and its application, New York, London: Academic Press, 1980.
  • 7Chow Y. S., On a strong law of large numbers for martingales, Ann. Math. Statist., 1967, 38: 610-611.
  • 8Fazekas I., Klesov O., A general approach to the strong law of large numbers, Theory Probab. Appl., 2000,45: 436-449.
  • 9Lu C. R., Lin Z. Y., Limit theorems on mixing random variables, Beijing: Science Press, 1997 (in Chinese).
  • 10Shao Q. M., Maximal inequalities for partial sums of p-mixing sequences, Ann. Probab., 1995, 23: 948-965.

共引文献10

同被引文献6

  • 1[1]Kruse R.The Strong Law of Large Numbers for Fuzzy Random Variables[J].Inform Sci,1982,28:233-241.
  • 2[2]Miyakoshi M,Shimbo M.A Strong Law of Large Numbers for Fuzzy Random Variables[J].Fuzzy Sets and Systems,1984,12(2):133-142.
  • 3[3]Kim Y K.A Strong Law of Large Numbers for Fuzzy Random Variables[J].Fuzzy Sets and Systems,2000,111 (3):319-323.
  • 4[5]Goetschel R,Voxman W.Elementary Fuzzy Calculus[J].Fuzzy Sets and Systems,1986,18(1):31-43.
  • 5[6]Kim Y K,Ghil B M.Integrals of Fuzzy Number Valued Functions[J].Fuzzy Sets and Systems,1997,86 (2):213-222.
  • 6刘文,杨卫国,张丽娜.关于任意随机变量序列的一类强极限定理[J].数学学报（中文版）,1997,40(4):537-544. 被引量：35

引证文献1

合肥学院学报（自然科学版）
2006年 第1期

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部