STATIONARY DISTRIBUTIONS FOR A CLASS OF GENERALIZED FLEMING-VIOT PROCESSES

• 成果类型: Article
• 署名作者: Handa, Kenji
• 署名单位: Saga University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/12-AOP829
• 发表日期: 2014
• 页码: 1257-1284
• 关键词: branching-processes

摘要

We identify stationary distributions of generalized Fleming-Viot processes with jump mechanisms specified by certain beta laws together with a parameter measure. Each of these distributions is obtained from normalized stable random measures after a suitable biased transformation followed by mixing by the law of a Dirichlet random measure with the same parameter measure. The calculations are based primarily on the well-known relationship to measure-valued branching processes with immigration.