| 复合泊松过程的可加性 |
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| 引用本文： | 徐怀,唐玲. 复合泊松过程的可加性[J]. 大学数学, 2006, 22(6): 114-117 |
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| 作者姓名： | 徐怀 唐玲 |
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| 作者单位： | 安徽大学,数学与计算科学学院,合肥,230039;安徽建筑工业学院,数理系,合肥,230022 |
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| 基金项目： | 安徽建筑工业学院硕士科研基金项目(20051101-14) |
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| 摘 要： | 对复合泊松分布可加性的研究在许多的文献中都可以看到,本文首先应用特征函数的方法证明了复合泊松分布的可加性.以此为基础,结合对随机过程相关性质的讨论,证明了复合泊松过程也具有与复合泊松分布可加性相似的,某种意义上的可加性性质.
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| 关 键 词： | 复合泊松分布 复合泊松过程 可加性 |
| 文章编号： | 1672-1454（2006）06-0114-04 |
| 收稿时间： | 2005-06-20 |
| 修稿时间： | 2005-06-20 |
Additive Property of Compound Poisson Process |
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| XU Huai,TANG Ling. Additive Property of Compound Poisson Process[J]. College Mathematics, 2006, 22(6): 114-117 |
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| Authors: | XU Huai TANG Ling |
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| Abstract: | Research on the additive property of compound Poisson distribution are founded in lots of papers.In this article,we apply characteristic function method to study the additive property,basing on the compound Poisson distribution additive property,considering stochastic process character,conclusion that Compound Poisson Process also have the additive property similar to the additive property of compound Poisson distribution are got at the end of the paper. |
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| Keywords: | compund Poisson distribution compound Poisson stochastic process additive property |
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