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

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  • 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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