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END随机序列的完全收敛性与强收敛性 被引量:1

Complete Convergence and Strong Convergence Properties for END Random Sequences
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摘要 利用END随机序列矩不等式和截尾法,探讨END随机序列的完全收敛性和强收敛性.给出了其相应的三级数定理,并利用所得结论获得了其完全收敛性与强收敛性的一些充分条件. Complete convergence and strong convergence properties for extended negatively dependent(END)random sequences were investigated by means of the moment inequality for END random sequence and with the help of truncated method.We obtained three series theorem and some sufficient condition about complete convergence and strong complete convergence for END random sequences.
出处 《吉林大学学报(理学版)》 CAS CSCD 北大核心 2015年第6期1139-1144,共6页 Journal of Jilin University:Science Edition
基金 安徽省自然科学基金重点项目(批准号:KJ2013A179) 安徽省自然科学基金(批准号:1208085MF114)
关键词 END随机序列 矩不等式 完全收敛性 强收敛性 extended negatively dependent(END)random sequences moment inequality complete convergence strong convergence
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参考文献8

  • 1Ebrahim N,Ghosh M, Multivariate Negative Dependence [J]. Communication in Statistics A: Theory andMethods, 1981,10(4) : 307-337.
  • 2LIU Li. Precise Large Deviations for Dependent Random Variables with Heavy Tails [ J ]. Statistics andProbability Letters,2009,79(9) : 1290-1298.
  • 3Joag-Dev K,Proschan F. Negative Association of Random Variables with Applications [J]. The Annals ofStatistics. 1983,11(1): 286-295.
  • 4WU Yongfeng,SONG Mingzhu,WANG Chunhua. Complete Moment Convergence and Mean Convergence forArrays of Rowwise Extended Negatively Dependent Random Variables [J/OL]. The Scientific World Journal,2014-02-05. http://dx. doi. org/10. 1155/2014/478612.
  • 5兰冲锋,吴群英.END样本最近邻密度估计的一致强相合速度[J].吉林大学学报(理学版),2014,52(3):494-498. 被引量:3
  • 6WU Yongfeng, GUAN Mei. Convergence Properties of the Partial Sums for Sequences of End Random Variables[J]. Journal of the Korean Mathematical Society, 2012,49(6) : 1097-1110.
  • 7QIU Dehua, CHEN Pingyan, Antonini R G, et al. On the Complete Convergence for Arrays of RowwiseExtended Negatively Dependent Random Variables [J]. Journal of the Korean Mathematical Society. 2013,50(2) : 379-392.
  • 8Stoat W F. Almost Sure Convergence [M]. New York: Academic Press, 1974.

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