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Weighted moments for a supercritical branching process in a varying or random environment |
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| Authors: | LI YingQiu HU YangLi & LIU QuanSheng College of Mathematics Computing Sciences Changsha University of Science Technology Changsha China College of Mathematics Computer Sciences Hunan Normal University Changsha LMAM University of Bretgne-Sud BP Vannes France |
| Institution: | 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 410081,3LMAM,University of Bretgne-Sud,BP573,56017 Vannes,France |
| Abstract: | 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. |
| Keywords: | branching process varying environment random environment moment martingale |
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