| 独立同分布的m值随机变量和的极限分布定理 |
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| 引用本文： | 刘凤梅,黄晓英. 独立同分布的m值随机变量和的极限分布定理[J]. 信息工程大学学报, 1998, 0(4) |
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| 作者姓名： | 刘凤梅 黄晓英 |
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| 作者单位： | 信息工程学院信息研究系 |
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| 摘 要： | 本文利用概率性质、齐次马氏链有关理论、矩阵理论以及初等数论的有关知识，得到了独立同分布的ｍ值随机变量和的极限分布为均匀分布的若干充要条件
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| 关 键 词： | m值随机变量，齐次马氏链，循环矩阵，均匀分布 |
Limit Distribution Theorem for a Sum of Independent, Identically distributed Random Variables |
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| Liu Fengmei Huang Xiaoying. Limit Distribution Theorem for a Sum of Independent, Identically distributed Random Variables[J]. , 1998, 0(4) |
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| Authors: | Liu Fengmei Huang Xiaoying |
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| Affiliation: | Liu Fengmei Huang Xiaoying |
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| Abstract: | By use of the property of probability,the theory of homogeneous Markov chain,the theory of matrix and the knowledge of number theory,we have obtained some sufficient and necessary conditions which make uniform the limit distribution of a sum of independent,identically distributed random variables.From these conditions,we see that it is easy for the distribution of a sum of independent,identically distributed random variables to converge to uniform distribution. |
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| Keywords: | m valued random variable homogeneous Markov chain circulant matrix uniform distribution |
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