| 关于随机环境分枝过程存活概率的几个定理 |
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| 引用本文： | 张俊英.关于随机环境分枝过程存活概率的几个定理[J].太原理工大学学报,2007,38(6):564-566. |
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| 作者姓名： | 张俊英 |
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| 作者单位： | 太原理工大学,理学院,山西,太原,030024 |
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| 摘 要： | 通过对随机环境分枝过程灭绝概率的讨论,应用条件概率和条件期望的性质得到了关于存活概率的界,此结论可以确定该过程是否灭绝,对研究该过程的灭绝时是有帮助的。
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| 关 键 词： | 分枝过程 存活概率 灭绝概率 随机环境 |
| 文章编号： | 1007-9432（2007）06-0564-03 |
| 修稿时间： | 2006-04-20 |
Some Theorem of survival Probabilities of Branching Processes with Random Environments |
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| ZHANG Jun-ying.Some Theorem of survival Probabilities of Branching Processes with Random Environments[J].Journal of Taiyuan University of Technology,2007,38(6):564-566. |
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| Authors: | ZHANG Jun-ying |
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| Institution: | College of Sciences of TUT , Tai yuan 030024, China |
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| Abstract: | The general model of branching processes in random environments was introduced and the bounds of extinction probability were obtained according to the conditional probability and conditional expectation.Thus the extinction of the branching processes could be decided and the result is useful for investigation on extinction time of branching processes in random environments. |
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| Keywords: | branching process survival probability the probability of extinction random environment |
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