| 一类强大数定律的推广与应用 |
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| 引用本文： | 邱育锋. 一类强大数定律的推广与应用[J]. 龙岩学院学报, 2012, 0(2): 1-3,8 |
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| 作者姓名： | 邱育锋 |
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| 作者单位： | 龙岩学院 |
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| 基金项目： | 福建省教育厅B类课题(JB10171);福建省仿脑智能系统重点实验室开放课题(BLISSOS2010105) |
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| 摘 要： | 引入了随机变量序列的一类可求和方法,证明了一类强大数定律成立的充要条件。它们还是Kolmogorov和Marcinkiewicz两个经典强大数定律在某种意义上的推广。
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| 关 键 词： | 可求和方法 强大数定律 收敛等价 Kroneker引理 Borel-Cantelli.引理 |
Generalization and Application for a Class of Strong Laws of Large Numbers |
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| QIU YU-feng. Generalization and Application for a Class of Strong Laws of Large Numbers[J]. Journal of Longyan Univercity, 2012, 0(2): 1-3,8 |
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| Authors: | QIU YU-feng |
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| Affiliation: | QIU YU-feng |
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| Abstract: | The method of summability for a class of random variable sequence is introduced.The sufficient and necessary conditions for a class of strong laws of large numbers are proved.It is the generalization in some sense of the classical strong laws of large numbers of Kolmogorov and that of Marcinkiewicz. |
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| Keywords: | ethod of summability strong law of large numbers convergence equivalence lemma of Kronecker lemma of Borel-canttelli |
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