| 分支过程的前对偶过程 |
| |
| 引用本文： | 谷安辉,李扬荣.分支过程的前对偶过程[J].西南农业大学学报,2007,29(4):21-24. |
| |
| 作者姓名： | 谷安辉 李扬荣 |
| |
| 作者单位： | [1]西南大学数学与统计学院,重庆400715 [2]应用物理与计算数学研究所,北京100088 |
| |
| 基金项目： | 国家博士后科学基金资助项目（2005038326）;西南大学发展基金项目资助（20700501）. |
| |
| 摘 要： | 讨论了分支过程的前对偶过程（以下称对偶分支过程）的单调性、Feller-Reuter-Riley（简称FRR）性和常返性等基本性质,同时给出了对偶分支过程最小Q-函数为FRR和遍历的判别条件.
|
| 关 键 词： | 分支过程 对偶分支过程 FRR性 非朝上跳跃 对偶分支性质 遍历 强遍历 |
| 文章编号： | 1000-2642（2007）04-0021-04 |
| 修稿时间： | 2006-05-08 |
Pre-dual Process of Markov Branching Process |
| |
| GU An-hui, LI Yang-rong.Pre-dual Process of Markov Branching Process[J].Journal of Southwest Agricultural University,2007,29(4):21-24. |
| |
| Authors: | GU An-hui LI Yang-rong |
| |
| Affiliation: | 1School of Mathematics and Statistics, Southwest University, Chongqing 400715, China;2 Institute of Applied Physics and Computational Mathematics, Beijing 100088, China |
| |
| Abstract: | In this paper, the basic properties regarding stochastic monotonicity, duality and FRR property on the q-matrix and the minimal transition function for the pre-dual process are discussed. Also, the predual property and ctiteria of the minimal transition function to be FRR and ergodic by the honest condition are given. |
| |
| Keywords: | branching process pre-dual process Feller-Reuter-Riley property upwardly skip-free predual property ergodicity strong ergodicity |
| 本文献已被 CNKI 维普 等数据库收录！ |
| 点击此处可从《西南农业大学学报》浏览原始摘要信息 |
|
点击此处可从《西南农业大学学报》下载全文 |
