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中国科学院大学学报 ›› 2014, Vol. 31 ›› Issue (2): 160-164.DOI: 10.7523/jssn.2095-6134.2014.02.003

• 数学与物理学 • 上一篇    下一篇

变化环境中带有随机控制函数的受控分枝过程的收敛速度

方亮1, 杨向群1, 李应求2   

  1. 1. 湖南师范大学数学与计算机科学学院, 长沙 410081;
    2. 长沙理工大学数学与计算科学学院, 长沙 410004
  • 收稿日期:2012-12-20 修回日期:2013-05-31 发布日期:2014-03-15
  • 通讯作者: 杨向群,E-mail:xqyang@hunnu.edu.cn
  • 基金资助:

    Supported by NSFC of China(11171101,11171044);Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP,Hunan Normal University)(Ministry of Education of China);Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities(12FEFM06);Hunan Provincial Natural Science Foundation of China(11JJ2001,13JJ6048),Research Fund for Doctoral Program of Higher Education of China(20104306110001),Planned Science and Technology Project of Hunan Province(2010fj6036,2009fi3098) and Scientific Research Fund of Hunan Provincial Education Department(12C0027,08C120,09C113,09C059)

Convergence rates for a controlled branching process with random control functions in the varying environment

FANG Liang1, YANG Xiangqun1, LI Yingqiu2   

  1. 1. College of Mathematics and Computer Science, Hunan Normal University, Changsha 410081, China;
    2. College of Mathematics and Computing Science, Changsha University of Science and Technology, Changsha 410004, China
  • Received:2012-12-20 Revised:2013-05-31 Published:2014-03-15
  • Supported by:

    Supported by NSFC of China(11171101,11171044);Key Laboratory of High Performance Computing and Stochastic Information Processing(HPCSIP,Hunan Normal University)(Ministry of Education of China);Open Fund Project of Key Research Institute of Philosophies and Social Sciences in Hunan Universities(12FEFM06);Hunan Provincial Natural Science Foundation of China(11JJ2001,13JJ6048),Research Fund for Doctoral Program of Higher Education of China(20104306110001),Planned Science and Technology Project of Hunan Province(2010fj6036,2009fi3098) and Scientific Research Fund of Hunan Provincial Education Department(12C0027,08C120,09C113,09C059)

摘要:

研究变化环境中带有随机控制函数的受控分枝过程经过正规化后极限的收敛速度.

关键词: 受控分枝过程, 随机控制函数, 变化环境

Abstract:

In this paper, we investigate the convergence rate of the limit of a controlled branching process with random control functions in the varying environment after suitable normalization.

Key words: controlled branching process, random control function, varying environment

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