江汉大学学报(自然科学版) ›› 2013, Vol. 41 ›› Issue (1): 43-46.

• 数学 • 上一篇    下一篇

ρ 混合序列的Hajek-Renyi 型不等式

万英   

  1. 湖北大学 数学与计算机科学学院,湖北 武汉 430062
  • 收稿日期:2014-12-26 修回日期:2014-12-26 出版日期:2013-02-12 发布日期:2013-12-27
  • 作者简介:万英(1988—),女,硕士生,研究方向:数理统计。

Hajek-Renyi Inequality for ρ -mixing Sequences

WAN Ying   

  1. School of Mathematics and Computer Science,Hubei University,Wuhan 430062,Hubei,China
  • Received:2014-12-26 Revised:2014-12-26 Online:2013-02-12 Published:2013-12-27

摘要: 将独立随机变量序列的Hajek-Renyi型不等式推广到ρ 混合序列,并应用此不等式研究其强大数定律。

关键词: ρ 混合序列, Hajek-Renyi型不等式, 强大数定律

Abstract: Promotes the Hajek-Renyi inequality of independent random variable sequence proved by Hajek and Renyi in 1955 to the ρ mixing sequence,then study the strong law of large numbers with applying this inequality.

Key words: ρ - mixing sequences, Hajek-Renyi inequality, strong law of large numbers

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