| 一类相关随机游动问题的母函数方法 |
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| 引用本文： | 张元林. 一类相关随机游动问题的母函数方法[J]. 东南大学学报(自然科学版), 1990, 0(1) |
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| 作者姓名： | 张元林 |
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| 作者单位： | 东南大学数学力学系 |
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| 摘 要： | 定义并讨论了具有吸收壁的一类相关随机游动,并利用母函数的方法导出了在第 n 步被吸收的概率母函数表达式、最终吸收的概率及期望持续时间的明显表达式等.这些结果使得经典的随机游动的相应结论成为特殊情况.
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| 关 键 词： | 随机游动 母函数 差分方程/吸收壁 期望持续时间 相关随机游动 |
The Method of Generating Functions for the Problems of a Class of Correlated Random Walks |
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| Zhang Yuanlin. The Method of Generating Functions for the Problems of a Class of Correlated Random Walks[J]. Journal of Southeast University(Natural Science Edition), 1990, 0(1) |
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| Authors: | Zhang Yuanlin |
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| Affiliation: | Department of Mathematics and Mechanics |
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| Abstract: | The auther defines and discusses a class of correlated random walks with the absorbing probability generating functions at nth step,explicit expres- sions of ultimate absorbing probability and expected duration by the method of generating function.These results make the corresponding conclusions of couventional ones the special cases. |
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| Keywords: | random walks generating function difference equation/absorbing barrier expected duration correlated random walk |
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