| THE EXISTENCE AND MOMENTS OF CANONICAL BRANCHING CHAIN IN RANDOM ENVIRONMENT |
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| 作者姓名： | 胡迪鹤 |
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| 作者单位： | TheCollegeofMathematicsandStatistics,WuhanUniversity,Wuhan430072,China |
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| 基金项目： | 国家自然科学基金，武汉大学校科研和教改项目 |
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| 摘 要： | The concepts of branching chain in random environmnet and canonical branch-ing chain in random environment are introduced. Moreover the existence of these chains is proved. Finally the exact formulas of mathematical expectation and variance of branching chain in random environment are also given.
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| 关 键 词： | 标准随机变换 随机支链 马尔可夫链 数学期望 |
| 收稿时间： | 13 February 2003 |
THE EXISTENCE AND MOMENTS OF CANONICAL BRANCHING CHAIN IN RANDOM ENVIRONMENT |
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| Hu Dihe The College of Mathematics and Statistics,Wuhan University,Wuhan ,China.THE EXISTENCE AND MOMENTS OF CANONICAL BRANCHING CHAIN IN RANDOM ENVIRONMENT[J].Acta Mathematica Scientia,2004,24(3):499-506. |
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| Authors: | Hu Dihe The College of Mathematics and Statistics Wuhan University Wuhan China |
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| Institution: | Hu Dihe The College of Mathematics and Statistics,Wuhan University,Wuhan 430072,China |
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| Abstract: | The concepts of branching chain in random environmnet and canonical branching chain in random environment axe introduced. Moreover the existence of these chains is proved. Finally the exact formulas of mathematical expectation and variance of branching chain in random environment axe also given. |
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| Keywords: | Random transition matrix branching chain in random environment canonical branching chains in random environments generator random vaxialble |
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