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| 摘要: |
| 用算子半群方法研究了参数连续Markov链中转移函数的逼近.给出了最小转移函数收敛的Q-矩阵条件;证明了当转移函数是忠实的情况下,一列转移函数的收敛性与其相应的预解函数的收敛性是等价的 |
| 关键词: 参数连续Markov链,算子半群,转移函数,保守的q-矩阵,逼近 |
| DOI： |
| 分类号:O152.7 TP23 |
| 基金项目: |
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| Study on approximation of transition functions using semigroup method |
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ZHAO Wen-qiang
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| Abstract: |
| We study the approximation of transition functions using semigroup method and a condition on Q-matrices in order that their corresponding minimal transition functions converge is obtained. We also show that the convergence of a sequence of honest tran |
| Key words: continuous-time Markov chains,semigroups of linear operators,transition function,conservative q-matrix,approximation. |
