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关于多指标变量的Marcinkiewicz大数律和完全收敛性 被引量：2

Marcinkiewicz Laws of Large Numbers and Complete Convergence with Multidimensional Indices
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摘要 该文讨论了两两NQD多指标随机变量序列{X-k;k∈Nd}(d≥2)的Marcinkiewicz型弱大数律和强大数律,同时得到了一个关于多指标变量部分和完全收敛的充要条件. In this paper, the authors consider a set of pairwise NQD multidimensional index random sequences {Xk;k∈Nd}（d≥2）. The classical strong and weak Marcinkiewicz laws are generalized to this case. Also, the complete convergence of partial sums is derived.
作者 王建峰 金敬森
机构地区 浙江大学数学系 台州学院数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2005年第5期734-743,共10页 Acta Mathematica Scientia
基金 国家自然科学基金(10471126)资助
关键词 两两NOD列 多指标 强大数律 完全收敛性 Pairwise NQD random sequences Multidimensional index Strong law of large numbers Complete convergence.
分类号 O211.4 [理学—概率论与数理统计]
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参考文献11

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共引文献145

同被引文献22

  • 1金敬森,王建峰.NA序列的部分和乘积的渐近正态性[J].高校应用数学学报（A辑）,2006,21(4):451-457. 被引量：8
  • 2苏淳,赵林城,王岳宝.NA序列的矩不等式与弱收敛[J].中国科学（A辑）,1996,26(12):1091-1099. 被引量：88
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数学物理学报（A辑）
2005年 第5期

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