Limit theorems for supercritical MBPRE with linear fractional offspring distributions

Autor:	Hong, Wenming, Liu, Minzhi, Vatutin, Vladimir
Rok vydání:	2017
Předmět:	Mathematics - Probability 60J80 (Primary) 60G50 (Secondary)
Druh dokumentu:	Working Paper
Popis:	We investigate the limit behavior of supercritical multitype branching processes in random environments with linear fractional offspring distributions and show that there exists a phase transition in the behavior of local probabilites of the process affected by strongly and intermediately supercritical regimes. Some conditional limit theorems can also be obtained from the representation of generating functions. Comment: 25 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1710.08724 Zobrazit plný text záznamu View this record from Arxiv