Boundary Behaviors for a Continuous-state Nonlinear Neveu’s Branching Process

作     者：Lin Yu BAI Xu YANG Lin Yu BAI;Xu YANG

作者机构：School of Mathematics and Information ScienceNorth Minzu UniversityYinchuan 750021P.R.China 

出 版 物：《Acta Mathematica Sinica,English Series》 (数学学报（英文版）)

年 卷 期：2024年第40卷第8期

页      面：2005-2016页

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] 07[理学] 0714[理学-统计学（可授理学、经济学学位）] 070103[理学-概率论与数理统计] 0701[理学-数学] 

基　　金：Supported by NSFC(Grant No.12061004) NSF of Ningxia(Grant No.2021AAC02018) the Fundamental Research Funds for the Central Universities,North Minzu University(Grant No.2020KYQD17) Major research project for North Minzu University(Grant No.ZDZX201902) the Construction Project of First-Class Disciplines in Ningxia Higher Education(Grant No.NXYLXK2017B09) 

主　　题：Continuous-state branching process nonlinear branching Neveu’s branching extinction explosion coming down from infinity 

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.