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Weighted moments for a supercritical branching process in a varying or random environment

查看全文 作  者:LI YingQiu1,2, HU YangLi1,2 & LIU QuanSheng1,3, 1College of Mathematics and Computing Sciences, Changsha University of Science and Technology, Changsha 410004, China;2College of Mathematics and Computer Sciences, Hunan Normal University, Changsha 410081, China;3LMAM, University of Bretgne-Sud, BP573, 56017 Vannes, France 高影响力作者 出  处:《Science China Mathematics》索引2011年第54卷第7期,共8页高影响力期刊 基  金:supported by National Natural Science Foundation of China (Grant No. 10771021);Research Fund for the Doctoral Program of Higher Education of China (Grant No. 20104306110001);the Planned Science and Technology Project of Hunan Province (Grant Nos. 2010fj6036, 2009fi3098);the Scientific Research Fund of Hunan Provincial Education Department (Grant Nos. 08C120, 09C113, 09C059) 摘  要:Let W be the limit of the normalized population size of a supercritical branching process in a varying or random environment. By an elementary method, we find sufficient conditions under which W has finite weighted moments of the form EWpl(W), where p > 1, l 0 is a concave or slowly varying function. 关 键 词:超临界分支 随机环境 加权 人口规模 环境规范 慢变
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