| 概率母函数的应用与拓展 |
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| 引用本文： | 邵良峰,夏道明.概率母函数的应用与拓展[J].安庆师范学院学报(自然科学版),2014(4):44-47. |
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| 作者姓名： | 邵良峰 夏道明 |
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| 作者单位： | 合肥电子工程学院 基础部,安徽 合肥,230037;合肥幼儿师范高等专科学校 基础部,安徽 合肥,230011 |
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| 摘 要： | 概率母函数是概率论中的一个重要运算工具。本文由概率母函数的定义，总结了它的若干性质，并举例应用。然后通过变量的参数分布将其推广为广义概率母函数，拓展了概率母函数的内涵和应用。
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| 关 键 词： | 概率母函数 相互独立 广义概率母函数 |
Application and Expansion of the Probability Generating Function |
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| SHAO Liang-feng,XIA Dao-ming.Application and Expansion of the Probability Generating Function[J].Journal of Anqing Teachers College(Natural Science Edition),2014(4):44-47. |
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| Authors: | SHAO Liang-feng XIA Dao-ming |
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| Institution: | SHAO Liang-feng, XIA Dao-ming ( 1. Department of Basic, Electronic Engineering Institute of Hefei, Hefei 230037, China; 2. Department of Basic, Hefei Preschool Education College,Hefei 230011, China) |
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| Abstract: | Probability generating function is an important operation tool in probability .This paper concludes some property of probability generating function from its definition,and demonstrates some application of it.Then, it is expanded to generalized probability generating function by the parameter distribution of variable .Thus, the connotation and application of probability gener-ating function is expanded. |
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| Keywords: | probability generating function mutual independence generalized probability generating function |
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