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Harmonic moments of branching processes in random environments
Authors:Wei Gang Wang  Ping Lv  Di He Hu
Institution:(1) School of Statistics and Mathematics, Zhejiang Gongshang University, Hangzhou, 310018, P. R. China;(2) Department of Science, Hangzhou Normal University, Hangzhou, 310036, P. R. China;(3) School of Mathematics and Statistics, Wuhan University, Wuhan, 430072, P. R. China
Abstract:We consider harmonic moments of branching processes in general random environments. For a sequence of square integrable random variables, we give some conditions such that there is a positive constant c that every variable in this sequence belong to MediaObjects/10114_2009_8137_Fig1_HTML.gif or MediaObjects/10114_2009_8137_Fig2_HTML.gif uniformly. Supported by National Natural Science Foundation of China (Grant No. 10771185)
Keywords:branching processes in random environments  harmonic moments
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