| 单瞬时态单边生灭Q过程的常返性和遍历性 |
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| 引用本文： | 张正军,吴慧中,张汉君,邹捷中. 单瞬时态单边生灭Q过程的常返性和遍历性[J]. 南京理工大学学报(自然科学版), 2002, 26(2): 183-185 |
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| 作者姓名： | 张正军 吴慧中 张汉君 邹捷中 |
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| 作者单位： | 1. 南京理工大学计算机科学与技术系,南京,210094
2. 中南大学铁道校区科研所,长沙,410075 |
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| 摘 要： | 设Q为单瞬时态单边生灭矩阵，该文利用单边生灭Q－矩阵的定性理论和单时态Q过程的分解定理得到了单边生灭Q－矩阵存在常返Q过程和遍历Q过程的充要条件，并在Q－矩阵满足定理条件时构造了单边生灭常返Q过程和遍历Q过程。
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| 关 键 词： | 单返性 遍历性 单瞬时态 单边生灭过程 常返Q过程 遍历Q过程 马尔可夫过程 |
| 修稿时间： | 2001-12-25 |
Existence for Recurrent and Ergodic Single-side Birth and Death Q Processes with Single Instantaneous State |
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| Abstract: | Let Q be a single side birth and death Q matrix with single instantaneous state. In this paper, utilizing the qualitative theorem about a single side birth and death Q matrix and the decomposition theorem about Q processes with single instantaneous state,the sufficient and necessary conditions are obtained for existence of recurrent Q processes and ergodic Q processes about a single side birth and death Q matrix. The recurrent and ergodic single side birth and death Q processes are constructed if Q matrix can satisfy the theorem. |
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| Keywords: | single instantaneous state single side birth and death processes recurrent Q processes ergodic Q processes |
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