Multitype branching limit behavior

• 成果类型: Article
• 署名作者: Cohn, H; Wang, Q
• 署名单位: University of Melbourne
• 刊物名称: ANNALS OF APPLIED PROBABILITY
• ISSN/ISSBN: 1050-5164
• 发表日期: 2003
• 页码: 490-500
• 关键词: environment

摘要

For a multitype branching process in varying environment convergent in probability, a certain sequence of linear combinations of the type sizes is shown to possess some convergence properties. This sequence turns out to be instrumental in deriving a condition for continuity of the limiting distribution function. An application to an L-1 convergent process whose offspring mean matrices are weakly ergodic is also given.