| 关于两两独立的随机变量序列和的强大数定律的简洁证明 |
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| 引用本文： | 陈英霞.关于两两独立的随机变量序列和的强大数定律的简洁证明[J].长春师范学院学报,2010(8). |
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| 作者姓名： | 陈英霞 |
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| 作者单位： | 平顶山学院数学与信息科学学院; |
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| 摘 要： | 本文讨论了两两独立的r.v.序列和的强大数定律,将文1]中的结论进行了推广。与经典的强大数定律相比,本文的证明过程更简洁,不需要利用Kolmogrov不等式,而且结论更实用,只要求r.v.两两独立。
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| 关 键 词： | 强大数定律 两两独立且同分布的随机变量 |
An Elementary Proof of the Strong Law of Large Numbers of Pairwise Independent r.v.s |
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| CHEN Ying-xia.An Elementary Proof of the Strong Law of Large Numbers of Pairwise Independent r.v.s[J].Journal of Changchun Teachers College,2010(8). |
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| Authors: | CHEN Ying-xia |
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| Institution: | CHEN Ying-xia(Pingdingshan University,Pingdingshan 467002,China) |
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| Abstract: | We study the strong law of large numbers(SLLN) of pairwise independent r.v.s,and generalize the result in 1].In comparison with the classical SLLN,the proof in this paper is elementary,in the sense that it does not use the Kolmogrov inequality,and the result is more applicable because we only require the r.v.s to be pairwise independent. |
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| Keywords: | strong law of large numbers pairwise independent and identically distributed r v s |
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