| THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS |
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| 作者姓名： | 马世霞 邢永胜 |
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| 作者单位： | School of Mathematical Sciences Nankai University Tianjin 300071，China，School of Mathematical Sciences Nankai University，Tianjin 300071，China |
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| 摘 要： | In this article the supercritical bisexual Galton-Watson branching processes with the immigration of mating units is considered. A necessary condition for the almost sure convergence, and a sufficient condition for the L1 convergence are given for the process with the suitably normed condition.
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| 关 键 词： | 两性Galton-Watson分歧进程 迁入 L^1收敛 超临界 |
| 收稿时间： | 2004-01-17 |
| 修稿时间： | 2004-11-13 |
THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS |
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| Shixia Ma,Yongsheng Xing.THE ASYMPTOTIC PROPERTIES OF SUPERCRITICAL BISEXUAL GALTON-WATSON BRANCHING PROCESSES WITH IMMIGRATION OF MATING UNITS[J].Acta Mathematica Scientia,2006,26(4):603-609. |
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| Authors: | Shixia Ma Yongsheng Xing |
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| Institution: | aSchool of Mathematical Sciences, Nankai University, Tianjin 300071, China |
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| Abstract: | In this article the supercritical bisexual Galton-Watson branching processes with the immigration of mating units is considered. A necessary condition for the almost sure convergence, and a sufficient condition for the L1 convergence are given for the process with the suitably normed condition. |
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| Keywords: | Bisexual Galton-Watson branching processes immigration almost sure convergence L1-convergence |
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