THE TRANSITION FUNCTION OF A FLEMING VIOT PROCESS

• 成果类型: Article
• 署名作者: ETHIER, SN; GRIFFITHS, RC
• 署名单位: Monash University
• 刊物名称: ANNALS OF PROBABILITY
• ISSN/ISSBN: 0091-1798
• DOI: 10.1214/aop/1176989131
• 发表日期: 1993
• 页码: 1571-1590
• 关键词: alleles diffusion-model; descent

摘要

Let S be a compact metric space, let theta greater-than-or-equal-to 0, and let nu0 be a Borel probability measure on S. An explicit formula is found for the transition function of the Fleming-Viot process with type space S and mutation operator (Af)(x) = (1/2)theta integral(S)(f(xi) - f(x))nu0(dxi).