Time to Extinction in Subcritical Two-Sex Branching Processes

David M. Hull; Manuel Mota; George P. Yanev

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Time to Extinction in Subcritical Two-Sex Branching Processes

机译：亚临界两性分支过程中的灭绝时间

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摘要

Lower and upper bounds for the cumulative distribution function (cdf) of the time to extinction in a subcritical two-sex branching process are derived. A recursive procedure for approximating this cdf is also utilized. The results are illustrated with some simulations.

机译：得出了亚临界两性分支过程中灭绝时间的累积分布函数（cdf）的上限和下限。还使用了用于逼近此cdf的递归过程。通过一些仿真说明了结果。

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来源
《Methodology and Computing in Applied Probability》 |2015年第3期|605-616|共12页
作者
David M. Hull; Manuel Mota; George P. Yanev;
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作者单位

Department of Mathematics and Computer Science Valparaiso University">(1);

Department of Mathematics University of Extremadura">(2);

Department of Mathematics The University of Texas - Pan American">(3);

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原文格式 PDF
正文语种 eng
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关键词
Time to extinction; Bisexual branching process; Subcritical process; Discrete time;

机译：灭绝时间;双性恋的分支过程;亚临界过程;离散时间;

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专利

1. Time to Extinction in Subcritical Two-Sex Branching Processes [J] . Hull David M., Mota Manuel, Yanev George P. Methodology and computing in applied probability . 2015,第3期

机译：亚临界两性分支过程中的灭绝时间
2. The distribution of time to extinction in subcritical branching processes: applications to outbreaks of infectious disease [J] . C. P. Farrington, A. D. Grant Journal of Applied Probability . 1999,第3期

机译：亚临界分支过程中灭绝时间的分布：在传染病暴发中的应用
3. Extinction conditions for Y-linked mutant-alleles through two-sex branching processes with blind-mating structure [J] . GonzálezM., GutiérrezC., MartínezR. Journal of Theoretical Biology . 2012,第Null期

机译：Y-连接的突变等位基因通过具有盲配结构的两性分支过程的灭绝条件
4. Mean extinction time for birth-death processes failure of the Fokker-Planck approximation [C] . Charles R. Doering, Khachik V. Sargsyan, Leonard M. Sander International Conference on Unsolved Problems of Noise and Fluctuations in Physics, Biology, and High Technology . 2005

机译：意味着出生死亡过程和Fokker-Planck近似失败的灭绝时间
5. Approximations and bounds for the extinction probability of a Galton-Watson branching process. [D] . Deng, Bingyong. 2011

机译：高尔顿-沃森分枝过程的灭绝概率的逼近度和界限。
6. Expectation-Maximization Algorithm for Determining Natural Selection of Y-Linked Genes Through Two-Sex Branching Processes [O] . M. González, C. Gutiérrez, R. Martínez -1

机译：通过两性分支过程确定Y连锁基因的自然选择的期望最大化算法
7. Time to Extinction in Subcritical Two-Sex Branching Processes [O] . Hall, David M., Mota, Manuel, Yanev, George P. 2013

机译：亚临界两性分支过程的灭绝时间
8. Subcritical Branching Processes in a Two State Random Environment, and a Percolation Problem on Trees [R] . Dekking, F. M. 1986

机译：两状态随机环境中的亚临界分枝过程及树木的渗流问题

Time to Extinction in Subcritical Two-Sex Branching Processes

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