| 随机环境中生灭过程的渐近性质 |
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| 引用本文： | 祝东进. 随机环境中生灭过程的渐近性质[J]. 安徽师范大学学报(自然科学版), 1995, 18(1): 6-14 |
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| 作者姓名： | 祝东进 |
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| 摘 要： | 本文讨论随机环境中的生来过程，得到了它的几乎收敛性质，通过差分方程的计算，还进一步得到ＢＤＰＲＥ的渐近性质。另外，我们还求出了生灭过程首中的Ｔｎ的分布，据此对ＢＤＰＲＥ首中Ｔｎ的分布作了一个估计。
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| 关 键 词： | 随机环境 生灭过程 首中时 渐近性质 |
The Asymptotic Behavior of Birth and Death Process in Random Environment |
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| Zhu Dongjin. The Asymptotic Behavior of Birth and Death Process in Random Environment[J]. Journal of Anhui Normal University(Natural Science Edition), 1995, 18(1): 6-14 |
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| Authors: | Zhu Dongjin |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper,the birth and death process in random environment(BDPRE)was studied.We have gotten the almost surely convergent property of BDPRE,Furethermore,Using different equation,we have gotten the asymptotic behavior of BD-PRE,In addition,the distribution of the first hitting time T_n of the birth and death pro-cess was given. From this,we estimate the distribution of the first hitting time of BD-PRE. |
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| Keywords: | Random envivonment Birth and death process Frist hitting time Dis-tribution Asymptotic behavior. |
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