| 随机弱大数定律和弱大教定律的充要条件 |
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| 引用本文： | 王瑶.随机弱大数定律和弱大教定律的充要条件[J].雁北师范学院学报,2011,27(4). |
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| 作者姓名： | 王瑶 |
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| 作者单位： | 太原工业学院理学系,山西太原,030008 |
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| 基金项目： | 山西省高校科研开发项目 |
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| 摘 要： | 讨论了任意随机变量序列的弱大数定律，得到了随机变量序列分别服从随机弱大数定律和弱大数定律的充要条件，以及独立随机变量序列服从弱大数定律的相关结果。
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| 关 键 词： | 随机变量序列 随机弱大数定律 弱大数定律 |
Necessary and Sufficient Conditions of Stochastic Weak Law of Large Numbers and Weak Law of Large Numbers |
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| WANG Yao.Necessary and Sufficient Conditions of Stochastic Weak Law of Large Numbers and Weak Law of Large Numbers[J].Journal of Yanbei Teachers College,2011,27(4). |
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| Authors: | WANG Yao |
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| Institution: | WANG Yao(Department of Maths and Physics,Taiyuan Institute of Technology,Taiyuan Shanxi,030008) |
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| Abstract: | In this paper, the author discusses weak law of large numbers for the arbitrary sequences of random variable, obtains the necessary and sufficient conditions, which random variables follow stochastic weak law of large numbers and weak law of larger numbers respectively and also gets some relevant results of weak law of larger numbers for independent random variables. |
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| Keywords: | random variable sequences stochastic weak law of large numbers weak law of larger numbers |
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