The Extinction of a Branching Process in a Varying or Random Environment

机译：可变或随机环境中分支过程的灭绝

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摘要

A sufficient condition and a necessary condition for extinction of BPVE are given. Then a splitting statistical regularity of individual in every generation of BPRE is given. In the last example, the speed of extinction of BPRE is contrasted with that of BPVE.

机译：给出了BPVE灭绝的充分条件和必要条件。然后给出了每个BPRE代中个体的分裂统计规律。在最后一个示例中，将BPRE的灭绝速度与BPVE的灭绝速度进行了对比。

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来源
《Nonlinear mathematics for uncertainty and its applications》|2011年|p.309-315|共7页
会议地点 Beijing(CN);Beijing(CN)
作者
Yangli Hu; Wei Hu; Yue Yin;
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作者单位

College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410004, China;

College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410004, China;

College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410004, China;

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会议组织
原文格式 PDF
正文语种 eng
中图分类计算技术、计算机技术;
关键词
random environment; varying environment; branching process; extinction;

机译：随机环境；变化的环境；分支过程；灭绝;

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专利

1. On the regularity of the extinction probability of a branching process in varying and random environments [J] . Alili S, Rugh HH Nonlinearity . 2008,第2期

机译：在变化和随机环境中分支过程的灭绝概率的规律性
2. Extinction of branching processes in varying environments [J] . Yu JH, Pei JL Statistics & Probability Letters . 2009,第17期

机译：在不同环境中消灭分支过程
3. ON CONDITIONS OF EXTINCTION FOR THE STATE-DEPENDENT BRANCHING PROCESSES IN A RANDOM ENVIRONMENT [J] . Fakhrutdinova TK Theory of probability and its applications . 2008,第4期

机译：随机环境中依赖状态的分支过程的灭绝条件
4. Particle transport with branching in a medium randomly varying in time [C] . Lenard Pal, Imre Pazsit Noise in Complex Systems and Stochastic Dynamics III . 2005

机译：在时间随机变化的介质中带有分支的粒子传输
5. Large Deviation Results for a Randomly Indexed Branching Process with Applications to Finance and Physics [D] . Wu, Sheng-Jhih 2012

机译：随机索引分支过程的大偏差结果及其在金融和物理领域的应用
6. A branching model for the spread of infectious animal diseases in varying environments [O] . Pieter Trapman, Ronald Meester, Hans Heesterbeek -1

机译：在不同环境中传播动物传染病的分支模型
7. On the extinction times of varying and random environment branching processes [O] . Author(s) Alan Agresti, Alan Agresti 1975

机译：关于变化和随机环境分支过程的消亡时间
8. Necessary Conditions for Almost Sure Extinction of a Branching Process with Random Environment [R] . Smith, W. L. 1967

机译：随机环境下几乎确定的分支过程灭绝的必要条件

The Extinction of a Branching Process in a Varying or Random Environment

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