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.
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.
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
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)
