| 拟生灭过程几种遍历性的判别准则(Ⅱ) |
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| 引用本文： | 侯振挺,李晓花.拟生灭过程几种遍历性的判别准则(Ⅱ)[J].数学年刊A辑(中文版),2005(2). |
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| 作者姓名： | 侯振挺 李晓花 |
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| 作者单位： | 中南大学数学学院概率统计研究所，中南大学数学学院概率统计研究所 长沙 410075，长沙 410075 |
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| 基金项目： | 国家自然科学基金(No．10171009)
高校博士点基金(No．20010533001)
“985行动计划”
“211工程”
中南大学博士创新基金(No．030602)资助的项目． |
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| 摘 要： | 本文是文7]的继续,研究了连续时间拟生灭过程,给出了一类连续时间拟生灭过程l-遍历和几何遍历行之有效的判别准则,并证明其不可能是多项式一致遍历和强遍历的.
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| 关 键 词： | 拟生灭过程 遍历性 马尔可夫链 矩阵几何解 |
ERGODICITY OF QUASI-BIRTH AND DEATH PROCESSES (II) |
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| HOU Zhenting LI Xiaohua School of Mathematics,Central South University,Changsha,Hunan . China. School of Mathematics,Central South University. Changsha,Hunan ,China..ERGODICITY OF QUASI-BIRTH AND DEATH PROCESSES (II)[J].Chinese Annals of Mathematics,2005(2). |
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| Authors: | HOU Zhenting LI Xiaohua School of Mathematics Central South University Changsha Hunan China School of Mathematics Central South University Changsha Hunan China |
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| Institution: | HOU Zhenting LI Xiaohua School of Mathematics,Central South University,Changsha,Hunan 410075. China. School of Mathematics,Central South University. Changsha,Hunan 410075,China. |
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| Abstract: | As a continuation of 7], this paper studys continuous time quasi-birth-and-death processes. The explicit necessary and sufficient condition of l-ergodicity, geometric ergodicity for such quasi-birth-and-death processes are obtained and the authors prove that they are neither uniformly polynomial ergodicity nor strong ergodicity. |
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| Keywords: | Quasi-birth and death process Ergodicity Markov chain Matrix geometric solutions |
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