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山东大学学报(理学版) ›› 2017, Vol. 52 ›› Issue (2): 97-100.doi: 10.6040/j.issn.1671-9352.0.2016.398

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一类高斯序列极值的强律

张涛1,李晓林1,陈平炎2*   

  1. 1. 暨南大学统计学系, 广东 广州 510630;2. 暨南大学数学系, 广东 广州 510630
  • 收稿日期:2016-08-11 出版日期:2017-02-20 发布日期:2017-01-18
  • 通讯作者: 陈平炎(1968— ),男,教授,研究方向为概率极限理论、应用概率、分形随机场.E-mail: tchenpy@jnu.edu.cn E-mail:zhangt.jnu@foxmail.com
  • 作者简介:张涛(1992— ),男,硕士研究生,研究方向为极限理论与分析概率.E-mail: zhangt.jnu@foxmail.com
  • 基金资助:
    国家自然科学基金资助项目(11271161)

Strong laws for extreme values from a class of Gaussian sequences

ZHANG Tao1, LI Xiao-lin1, CHEN Ping-yan2*   

  1. 1. Department of Statistics, Jinan University, Guangzhou 510630, Guangdong, China;
    2. Department of Mathematics, Jinan University, Guangzhou 510630, Guangdong, China
  • Received:2016-08-11 Online:2017-02-20 Published:2017-01-18

摘要: 证明了一类高斯序列极值的强律,该高斯序列既不是相互独立的,也没有对相关系数做任何假设。

关键词: 极值理论, 高斯序列, 强律

Abstract: In this paper, our goal is to prove the strong laws theorem for extreme values from a class of Gaussian sequences. The Gaussian sequence is neither mutually independent nor any condition on the correlation coefficient.

Key words: strong law, Gaussian sequence, extreme value theory

中图分类号: 

  • O211.4
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