| 关于两两NQD序列的强大数定律 |
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| 引用本文： | 张林松,程千明. 关于两两NQD序列的强大数定律[J]. 合肥学院学报(自然科学版), 2008, 18(3): 8-9 |
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| 作者姓名： | 张林松 程千明 |
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| 作者单位： | 合肥学院数学与物理系,合肥,230601;石岗中学,安徽,舒城,231300 |
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| 基金项目： | 安徽省教育厅青年教师科研项目，合肥学院自然科学研究发展基金 |
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| 摘 要： | 两两NQD序列的研究已有数十年，根据吴群英对两两NQD序列收敛性质，利用Kronecker引理和三级数定理证明了一个更一般性的收敛定理，并加以推广应用，得到两个相关推论，从而推广了两两NQD序列的强大数定律．
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| 关 键 词： | 两两NQD序列 强大数定律 几乎处处收敛 Kronecker引理 |
On Pairwise NQD Sequence of Strong Law of Large Numbers |
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| ZHANG Lin-song,CHENG Qian-ming. On Pairwise NQD Sequence of Strong Law of Large Numbers[J]. Journal of Hefei University(Natural Sciences Edition), 2008, 18(3): 8-9 |
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| Authors: | ZHANG Lin-song CHENG Qian-ming |
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| Affiliation: | ZHANG Lin-song, CHENG Qian-ming ( 1. Department of Mathematics and Physics, Hefei University, Hefei 230601 ; 2. Shigang High Sehool,Shueheng,Anhui 231300,China) |
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| Abstract: | According to the convergence nature of pairwise NQD sequence on which Wu Qunying has made research for about several decades, this paper proves a more general convergence theorem by using Lemma of Kronecker and other three series of theorem,puts it into application in a wider way, and two related inferences are put forward. So pairwise NQD sequence of strong Law of Large Numbers is generalized in application. |
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| Keywords: | Pairwise NQD sequence strong law of large number almost sure convergence Lemma of Kronecker |
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