| THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS |
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| 作者姓名： | 胡迪鹤 |
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| 作者单位： | School of |
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| 基金项目： | Project supported by the National Natural Science Foundation of China and the Foundation of Wuhan University |
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| 摘 要： | The investigation for branching processes has a long history by their strong physics background, but only a few authors have investigated the branching processes in random environments. First of all, the author introduces the concepts of the multitype canonical Markov branching chain in random environment (CMBCRE) and multitype Markov branching chain in random environment (MBCRE) and proved that CMBCRE must be MBCRE, and any MBCRE must be equivalent to another CMBCRE in distribution. The main results of this article are the construction of CMBCRE and some of its probability properties.
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| 关 键 词： | 随机Markov矩阵 随机环境 Markov链 Markov规范分歧链 |
| 收稿时间： | 2004-04-10 |
| 修稿时间： | 2005-04-18 |
THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS |
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| Hu Dihe.THE CONSTRUCTION OF MULTITYPE CANONICAL MARKOV BRANCHING CHAINS IN RANDOM ENVIRONMENTS[J].Acta Mathematica Scientia,2006,26(3):431-442. |
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| Authors: | Hu Dihe |
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| Abstract: | The investigation for branching processes has a long history by their strong physics background, but only a few authors have investigated the branching processes in random environments. First of all, the author introduces the concepts of the multitype canonical Markov branching chain in random environment (CMBCRE) and multitype Markov branching chain in random environment (MBCRE) and proved that CMBCRE must be MBCRE, and any MBCRE must be equivalent to another CMBCRE in distribution. The main results of this article are the construction of CMBCRE and some of its probability properties. |
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| Keywords: | Random Markov matrix Markov chain in random environment Markov branching chain in random environment canonical Markov branching chain in random environment generator random variables |
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