| 关于单生过程指数遍历和l遍历的注记 |
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| 引用本文： | 张余辉. 关于单生过程指数遍历和l遍历的注记[J]. 北京师范大学学报(自然科学版), 2010, 46(1): 1-5 |
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| 作者姓名： | 张余辉 |
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| 作者单位： | 北京师范大学数学科学学院,100875,北京 |
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| 基金项目： | 国家“九七三”计划资助项目(2006CB805901);;国家自然科学基金资助项目(10721091) |
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| 摘 要： | 用击中时矩比较的方法证明了单生过程指数遍历的一个显式充分条件,此方法不同于以前的工作;同时给出了单生过程l遍历的显式判别准则.
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| 关 键 词： | 单生过程 生灭过程 指数遍历 强遍历 l遍历 |
A NOTE ON EXPONENTIAL ERGODICITY AND l-ERGODICITY OF SINGLE BIRTH PROCESSES |
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| ZHANG Yuhui. A NOTE ON EXPONENTIAL ERGODICITY AND l-ERGODICITY OF SINGLE BIRTH PROCESSES[J]. Journal of Beijing Normal University(Natural Science), 2010, 46(1): 1-5 |
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| Authors: | ZHANG Yuhui |
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| Affiliation: | School of Mathematical Sciences;Beijing Normal University;100875;Beijing;China |
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| Abstract: | In the paper,an explicit and sufficient condition on exponential ergodicity of single birth processes is proven again by the comparison of moments of hitting time,which is different from the method reported in a previous work.Meanwhile,an explicit criterion on l-ergodicity for single birth processes is obtained. |
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| Keywords: | single birth processes birth-death processes exponentially ergodic strongly ergodic l-ergodic |
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