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›› 2014, Vol. 31 ›› Issue (2): 160-164.DOI: 10.7523/jssn.2095-6134.2014.02.003

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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 Online: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)

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

CLC Number: