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φ混合序列的一些收敛性质
  • ISSN号：0253-2778
  • 期刊名称：《中国科学技术大学学报》
  • 时间：0
  • 分类：O211.4[理学—概率论与数理统计;理学—数学]
  • 作者机构：[1]安徽大学数学科学学院,安徽合肥230039, [2]合肥学院学报编辑部,安徽合肥230022
  • 相关基金：Supported by the National Natural Science Foundation of China （11171001, 11201001, 11126176）, Talents Youth Fund of Anhui Province Universities （2010SQRL016ZD） and Academic Innovation Team of Anhui University （KJTD001B）.
作者： 沈燕[1], 张永军[2], 王学军[1], 胡舒合[1]
关键词： 随机控制, Φ混合序列, 强大数定理, stochastically dominated, φ-mixing sequences, strong law of large numbers
中文摘要：

研究了不同分布φ混合序列的一些收敛性质．得到了不同分布φ混合序列的完全收敛性，推广了独立同分布情形的结果．并且还将独立序列的Marcinkiewicz强大数定理推广到不同分布φ混合序列的相应定理．

英文摘要：

Some convergence properties for φ-mixing sequences with different distributions were investigated. The complete convergence for φ-mixing sequences with different distributions was obtained, which generalized some previous known results for independent and identically distributed random variables. And the Marcinkiewicz strong law of large numbers for independent random variable sequences was extended to φ-mixing sequences with different distributions.

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期刊信息
  • 《中国科学技术大学学报》
  • 北大核心期刊（2011版）
  • 主管单位:中国科学院
  • 主办单位:中国科学技术大学
  • 主编：何多慧
  • 地址：安徽省合肥市金寨路96号
  • 邮编：230026
  • 邮箱：JUST@USTC.EDU.CN
  • 电话：0551-63601961 63607694
  • 国际标准刊号：ISSN：0253-2778
  • 国内统一刊号：ISSN：34-1054/N
  • 邮发代号:26-31
  • 获奖情况:
  • 1999年，全国优秀高等学校自然科学学报及教育部优...,2001年，安徽省1999-2001年度优秀科技期刊一等奖,2002年，第三届华东地区优秀期刊奖
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  • 俄罗斯文摘杂志,美国化学文摘（网络版）,美国数学评论（网络版）,德国数学文摘,荷兰文摘与引文数据库,美国剑桥科学文摘,英国科学文摘数据库,日本日本科学技术振兴机构数据库,中国中国科技核心期刊,中国北大核心期刊（2004版）,中国北大核心期刊（2008版）,中国北大核心期刊（2011版）,中国北大核心期刊（2014版）,中国北大核心期刊（2000版）
  • 被引量:8237