赵丽华, 雷恩林, 卢准炜, 刘桂芬. 独立同分布随机环境中两性Galton-Watson分支过程灭绝概率的渐近行为[J]. 应用概率统计, 2011, 27(3): 289-296.
引用本文: 赵丽华, 雷恩林, 卢准炜, 刘桂芬. 独立同分布随机环境中两性Galton-Watson分支过程灭绝概率的渐近行为[J]. 应用概率统计, 2011, 27(3): 289-296.
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Zhao Lihua, Lei Enlin, Lu Zhunwei, Liu Guifen. The Asymptotic Behaviour of the Extinction Probabibity in Bisexual Galton-Watson Branching Processes with Independent and Identically Distributed Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(3): 289-296.
Citation: Zhao Lihua, Lei Enlin, Lu Zhunwei, Liu Guifen. The Asymptotic Behaviour of the Extinction Probabibity in Bisexual Galton-Watson Branching Processes with Independent and Identically Distributed Random Environments[J]. Chinese Journal of Applied Probability and Statistics, 2011, 27(3): 289-296.
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独立同分布随机环境中两性Galton-Watson分支过程灭绝概率的渐近行为

The Asymptotic Behaviour of the Extinction Probabibity in Bisexual Galton-Watson Branching Processes with Independent and Identically Distributed Random Environments

    摘要
  • 摘要: 本文研究了独立同分布随机环境中的两性Galton-Watson分支过程, 在上临界情形下, 当k充分大时, q_k\leq ck^-\alpha.

     

    Abstract: In bisexual Galton-Watson branching process with independent and identically distributed random environments, it is shown that under certain conditions there exists 0<\alpha<+\infty and 0<c<+\infty such that the extinction probability starting with k individuals is bounded above by ck^-\alpha for sufficiently large k.

     

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