| 独立随机变量和的分布 |
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| 引用本文： | 王颖喆.独立随机变量和的分布[J].北京师范大学学报(自然科学版),2010,46(1):6-9. |
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| 作者姓名： | 王颖喆 |
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| 作者单位： | 北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,100875,北京 |
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| 基金项目： | 国家自然科学基金资助项目(10721091);;北京师范大学教改项目 |
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| 摘 要： | 利用有限测度的广义加法公式,对取值在有限区间的n个独立同分布的随机变量的和的分布给出了一种求法.并求出了总体分布为均匀分布、截尾指数分布、截尾Γ分布情况下n个随机变量和的分布.
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| 关 键 词： | 随机变量 独立 广义加法公式 截尾分布 |
DISTRIBUTION OF THE SUM OF INDEPENDENT RANDOM VARIABLES |
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| WANG Yingzhe.DISTRIBUTION OF THE SUM OF INDEPENDENT RANDOM VARIABLES[J].Journal of Beijing Normal University(Natural Science),2010,46(1):6-9. |
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| Authors: | WANG Yingzhe |
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| Institution: | School of Mathematical Sciences;Beijing Normal University;Key Laboratory of Mathematics and Complex Systems;Ministry of Education;100875;Beijing;China |
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| Abstract: | Consider a series random variables which are independent of each other and have identical distribution.By using the generalized addition formula of finite measures,a method of calculus is given in order to obtain distribution of the sum of those variables.Formulas of some special distribution functions,such as uniform distribution,interruption exponential distribution and interruption Gamma distribution are gotten. |
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| Keywords: | random variable independent generalized addition formula of finite measures interruption distribution |
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