| 摘要: |
| 给出具有突变率的广义生-灭过程的遍历与指数遍历的充分必要条件,以及强遍历的充分条件. |
| 关键词: 广义生-灭过程 遍历 指数遍历 强遍历 |
| DOI: |
| 投稿时间:2001-05-29 |
| 基金项目:国家自然科学基金资助项目(批准号:19871006)。 |
|
| Ergodicities for an Extended Birth-Death Process with Catastrophes |
|
Wu Qunying
|
| (Dept. of Basic Sci., Guilin Institute of Technology, 12 Jianganlu, Guilin, Guangxi, 541004, China) |
| Abstract: |
| An extended birth-death process with catastrophes is studied. The necessary and sufficient conditions of ergodicity and exponential ergodicity and sufficient condition of strong ergodicity for the process are presented. |
| Key words: extended birth-death process ergodicity exponential ergodicity strong ergodicity |