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一类随机变量序列部分和的强大数定律
  • 期刊名称：大学数学24（2008）63-66
  • 时间：0
  • 分类：O211[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,合肥230039
  • 相关基金：[基金项目]国家自然科学基金（10871001;60803059）;安徽大学创新团队基金资助课题
  • 相关项目：若干复杂的统计推断问题的理论及其应用
关键词： 几乎必然收敛, PA序列, NA序列, 两两NQD序列, almost sure convergence, PA sequence, NA sequence, Pairwise NQD sequence
中文摘要：

设{Xn，n≥1}是随机变量序列．文[4]在二阶矩限制下，获得了任意随机变量序列的Hajek—Renyi型不等式，并给出了随机变量序列的强大数定律．本文利用胡舒合等获得的强大数定律，给出了随机变量序列的一些几乎必然收敛性，并给出了结果在PA，NA和两两NQD序列场合下的应用．

英文摘要：

Let {Xn,n≥1} be a random variable sequence. [4]obtained the Hajek-Renyi-type inequality and strong law of large numbers for the random variables under second moment conditions. The article gives some almost sure convergence properties for the random variables by using the strong law of large numbers obtained by Hu. Some applications for the PA, NA sequences and pairwise NQD sequense are given.

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