Boundary behaviors for a continuous-state nonlinear Neveu's branching process
作者机构：School of Mathematics and Information Science North Minzu University
出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报(英文版))
年 卷 期：2023年
核心收录：
学科分类：02[经济学] 0202[经济学-应用经济学] 020208[经济学-统计学]
基 金：Supported by NSFC (Grant No. 12061004) NSF of Ningxia (Nos. 2021AAC02018 and 2022AAC03232) Major research project for North Minzu University (Grant No. ZDZX201902) the Construction Project of FirstClass Disciplines in Ningxia Higher Education(Grant No. NXYLXK2017B09)
摘 要：By generalizing a criterion of Mufa Chen for Markov jump processes, we establish the necessary and sufficient conditions for the extinction, explosion and coming down from infinity of a continuous-state nonlinear Neveu’s branching process.
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