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Limit distributions for generalized Jiřina processes with immigration
Authors:Yu Qiang Li
Institution:School of Finance and Statistics, East China Normal University, Shanghai 200241, P. R. China
Abstract:A relationship between continuous state population-size-dependent branching (CSDB) processes with or without immigration and discrete state population-size-dependent branching (DSDB) processes with or without immigration is established via the representation of the former. Based on this relationship, some limiting distributions of CSDB processes with or without immigration are obtained.
Keywords:Generalized branching process  immigration  limiting distribution
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