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Bounds of Deviation for Branching Chains in Random Environments 被引量:1

Bounds of Deviation for Branching Chains in Random Environments
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摘要 We consider non-extinct branching processes in general random environments. Under the condition of means and second moments of each generation being bounded, we give the upper bounds and lower bounds for some form deviations of the process. We consider non-extinct branching processes in general random environments. Under the condition of means and second moments of each generation being bounded, we give the upper bounds and lower bounds for some form deviations of the process.
作者 Wei Gang WANG
出处 《Acta Mathematica Sinica,English Series》 SCIE CSCD 2011年第5期897-904,共8页 数学学报(英文版)
基金 Supported by National Natural Science Foundation of China (Grant No. 11026088), Zhejiang Provincial Natural Science Foundation of China (Grant No. Y6100663), ZJPEDF (Grant No. Y200906909)
关键词 Branching processes in random environments deviation upper bound lower bound Branching processes in random environments deviation, upper bound, lower bound
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  • 1F. den Hollander,M. V. Menshikov,S. Yu. Popov.A Note on Transience Versus Recurrence for a Branching Random Walk in Random Environment[J].Journal of Statistical Physics (-).1999(3-4)
  • 2Andreas Greven,Frank Hollander.Branching random walk in random environment: phase transitions for local and global growth rates[J].Probability Theory and Related Fields.1992(2)
  • 3Amir Dembo,Ofer Zeitouni.Large Deviations Techniques and Applications, 2nd ed[]..1998

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