Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (3): 1193-1205.doi: 10.1016/S0252-9602(12)60091-5

• Articles • Previous Articles     Next Articles

LIMIT THEOREMS FOR A GALTON-WATSON PROCESS IN THE I.I.D. RANDOM ENVIRONMENT

 GAO Zhen-Long1, HU Xiao-Yu2   

  1. 1.Scool of Mathematical Sciences, Qufu Normal University, Qufu 273165, China; 2.Scool of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, China
  • Received:2010-12-30 Online:2012-05-20 Published:2012-05-20
  • Supported by:

    Supported by the National Natural Science Foundation of China (10871200).

Abstract:

In this article, we obtain the central limit theorem and the law of the iterated logarithm for Galton-Watson processes in i.i.d. random environments.

Key words: Galton-Watson process in random environment, central limit theorem, law of the iterated logarithm

CLC Number: 

  • 60J05
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