| LIMITING BEHAVIOR OF UNIFORM RECURSIVE TREES |
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| 作者姓名： | 苏淳 冯群强 刘杰 |
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| 作者单位： | Department of Statistics and Finance University of Science and Technology of China，Department of Statistics and Finance，University of Science and Technology of China，Department of Statistics and Finance，University of Science and Technology of China，Hefei 230026，China，Hefei 230026，China，Hefei 230026，China |
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| 基金项目： | 国家自然科学基金，高等学校博士学科点专项科研项目 |
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| 摘 要： | The authors consider the limiting behavior of various branches in a uniform recursive tree with size growing to infinity.The limiting distribution ofζ_(n,m),the number of branches with size m in a uniform recursive tree of order n,converges weakly to a Poisson distribution with parameter 1/m with convergence of all moments.The size of any large branch tends to infinity almost surely.
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| 关 键 词： | 统一回归树 限制树 联接图 简单图 |
| 收稿时间： | 10 April 2005 |
| 修稿时间： | 2005-04-102005-12-30 |
Limiting behavior of uniform recursive trees |
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| Chun Su, Qunqiang Feng,Jie Liu,.LIMITING BEHAVIOR OF UNIFORM RECURSIVE TREES[J].Acta Mathematica Scientia,2007,27(3):515-521. |
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| Authors: | Chun Su Qunqiang Feng Jie Liu |
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| Institution: | Department of Statistics and Finance, University of Science and Technology of China, Hefei 230026, China |
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| Abstract: | The authors consider the limiting behavior of various branches in a uniform recursive tree with size growing to infinity. The limiting distribution of ζn,m, the number of branches with size m in a uniform recursive tree of order n, converges weakly to a Poisson distribution with parameter 1/m with convergence of all moments. The size of any large branch tends to infinity almost surely. |
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| Keywords: | Uniform recursive tree branch limiting behavior |
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