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同分布ND序列加权和的强大数律
  • 期刊名称：浙江大学学报（理学版），34（6），499-504, 2007
  • 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]浙江大学数学系,浙江杭州310027
  • 相关基金：国家自然科学基金资助项目（10131040）;高校博士学科点专项科研基金（2002335090）.
  • 相关项目：非高斯过程样本理论中的极限定理
关键词： ND序列的加权和, 强大数律, Marcinkiewicz—Zygmund, 几乎处处收敛, weighted sums of ND arrays, strong law of large numbers, Marcinkiewicz-Zygmund, almost sure convergence
中文摘要：

证明了负相依（ND）序列的两个强大数律．BAI和CHENG（2000）以及SUNG（2001）分别证明了它们对独立同分布序列是成立的，本文推广了他们的结果，并且在证明方法上有所简化．

英文摘要：

It will be shown that two strong laws of large numbers, which were proved for arrays of i. i. d. random variables by BAI, CHENG（2000） and SUNG（2001）, can be also obtained for arrays of negative dependent （ND） random variables. The proof is somewhat simplified.

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