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| 带壁生灭过程的定性理论 | |
| 引用本文： | 杨向群,肖临,汪和松. 带壁生灭过程的定性理论[J]. 数学学报, 2010, 53(5): 1019-1026 |
| 作者姓名： | 杨向群 肖临 汪和松 |
| 作者单位： | 1. 湖南师范大学数学与计算机科学学院 长沙 410081; 2. 湖南商学院统计系 长沙 410205; 3. 长沙理工大学数学与计算科学学院 长沙 410076 |
| 基金项目： | 国家自然科学基金(10571051,10871064);湖南省普通高校重点实验室创新平台开放基金(09K026) |
| 摘 要： | 研究带壁生灭过程(BDP)的定性理论.按照壁0的分类,边界点Z的分类,BDP是否诚实,是否满足向后或向前方程组,存在许多组合类型的BDP.对于每一种类型的BDP,或者没有,或者仅一个,或者有无穷多个.列出了一个详细的表. |
| 关 键 词： | 带壁生灭过程 定性理论 壁的分类 |
| 收稿时间： | 2008-09-01 |
| 修稿时间： | 2010-04-19 |
The Qualitative Theory for Birth and Death Processes with Barrier |
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| Affiliation: | 1. College of Mathematics and Computer Science, Hu'nan Normal University, Changsha 410081, P. R. China; 2. Department of Statistics, Hu'nan University of Commerce, Changsha 410205, P. R. China; 3. College of Mathematics and Computer Science, Changsha University of Science and Technology, Changsha 410081, P. R. China |
| Abstract: | The qualitative theory for birth and death processes with barrier (BDP) is researched. According to kinds of barrier 0, kinds of boundary point Z, BDP is whether or not honest, whether or not satisfying backward equations or forward equations, there are many combinations and there are many types of BDPs. For each type there is not or only one, or there are infinitely many BDFs. A table obtained in detail. |
| Keywords: | birth and death process with barrier qualitative theory kinds of barrier |
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