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THE STRONG LAW OF LARGE NUMBERS FOR PAIRWISE NQD RANDOM VARIABLES 被引量:4

THE STRONG LAW OF LARGE NUMBERS FOR PAIRWISE NQD RANDOM VARIABLES
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摘要 In this paper, the almost sure convergence for pairwise negatively quadrant dependent random variables is studied. The strong law of large numbers for pairwise negatively quadrant dependent random variables is obtained. Our results generalize and improve those on almost sure convergence theorems previously obtained by Marcinkiewicz (1937), Jamison (1965), Matula (1992) and Wu (2001) from the independent identically distributed (i.i.d.) case to pairwise NQD sequences.
机构地区 College of Science
出处 《Journal of Systems Science & Complexity》 SCIE EI CSCD 2011年第2期347-357,共11页 系统科学与复杂性学报(英文版)
基金 This research is supported by the National Natural Science Foundation of China under Grant No. 11061012, the Support Program of the New Century Guangxi China Ten-hundred-thousand Talents Project under Grant No. 2005214, and the Guangxi, China Science Foundation under Grant No. 2010GXNSFA013120.
关键词 Almost sure convergence pairwise negatively quadrant dependent random variables strong law of large numbers. 两两NQD序列 相依随机变量 强大数定律 几乎处处收敛 独立同分布 收敛定理 象限
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  • 1邵启满,数学学报,1989年,32卷,377页
  • 2刘许国,数学杂志,1988年,18卷,117页
  • 3林正炎,概率极限理论基础,1999年
  • 4吴群英,中国基础科学,99卷,2/4期,89页

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