| 随机环境中受控两性分枝过程的概率性质 |
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| 引用本文： | 胡杨利,潘振东,李德如.随机环境中受控两性分枝过程的概率性质[J].数学理论与应用,2014(2):1-6. |
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| 作者姓名： | 胡杨利 潘振东 李德如 |
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| 作者单位： | 长沙理工大学数学与计算机科学学院,长沙410114 |
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| 基金项目： | 湖南省自然科学基金（13JJ6048）、湖南省教育厅优秀青年项目（148010）资助 |
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| 摘 要： | 本文介绍了一类配对依赖人口数的随机环境中受控两性分枝过程,研究了它的马氏性,对偶律及其概率母函数的性质.
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| 关 键 词： | 受控两性分枝过程 随机环境 概率母函数 |
Probability Properties of Controlled Bisexual Branching Processes in Random Environments |
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| Hu Yangli Pan Zhendong Li Deru.Probability Properties of Controlled Bisexual Branching Processes in Random Environments[J].Mathematical Theory and Applications,2014(2):1-6. |
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| Authors: | Hu Yangli Pan Zhendong Li Deru |
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| Institution: | Hu Yangli Pan Zhendong Li Deru ( School of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410004, China) |
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| Abstract: | We introduce a class of controlled bisexual branching process with mating depending on the number of progenitor couples in random environment and discuss its Markov property, dual law and the properties of its generating functions. |
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| Keywords: | Controlled bisexual branching process Random environment Generating function |
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