| 相互独立的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,李世取.相互独立的m值随机变量和的极限分布定理[J].高校应用数学学报(A辑),2000,15(1):57-64. |
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| 作者姓名： | 刘凤梅 李世取 |
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| 作者单位： | 1. 北京中国科技大学研究生院9921班
2. 郑州信息工程学院信息研究系,450002 |
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| 摘 要： | 利用ｍ值随机变量的特征函数，在一定条件下，得到了相互独立的ｍ值随机变量和的极限分布均匀的充要条件；再结合无穷乘积的有关性质，给出了相互独立的ｍ值随机变量和极限分布均匀分布的充分条件，特别当ｍ为素数Ｐ时，所得的充分条件易于验证，且不难满足。
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| 关 键 词： | m值随机变量 特征函数 和 极限分布定理 |
LIMIT DISTRIBUTION THEOREM FOR A SUM OF INDEPENDENT m-VALUED RANDOM VARIABLES |
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| Liu Fengmei,Li Shiqu.LIMIT DISTRIBUTION THEOREM FOR A SUM OF INDEPENDENT m-VALUED RANDOM VARIABLES[J].Applied Mathematics A Journal of Chinese Universities,2000,15(1):57-64. |
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| Authors: | Liu Fengmei Li Shiqu |
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| Abstract: | With the characteristic function of a m \|valued random variable,this paper gives a limit distribution theorem for a sum of independent m \|valued random variables.In addition,the sufficient condition has been discussed when the limit distribution of the sum of independent m \|valued random variables is uniform.For these conditions,it isn't difficult to satisfy them.Therefore,it is easy for the distribution of a sum of independent m \|valued random variables to converge to the uniform distribution,which is similar to the fact that the asymptotic distribution of a sum of independent real valued random variables is usually normal. |
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| Keywords: | Residue Class Ring m-valued Random Variable Characteristic Function Uniform Distribution |
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