第十八讲--Two-parameter Dirichlet process and related dynamic models

2017年12月06日，星期二上午10:00在大学城771771威尼斯.cm大全行政东楼后座310。加拿大Concordia University数学与统计系孙玮教授为各位学子带来了精彩的学术讲座--《Two-parameter Dirichlet process and related dynamic models》——暨羊城讲坛第十八讲。此次讲座由771771威尼斯.cm大全蓝国烈副教授主持，相关专业的师生也参加了此次讲座。在这个讲座中，孙玮教授讲解了双参数Poisson-Dirichlet分布和Dirichlet过程的随机动态模型。用双参数Poisson-Dirichlet分布和Dirichlet过程构造了它们的平稳分布的可逆扩散。

摘要:

The Dirichlet process appears as approximation to the equilibrium behavior of certain large populations evolving under the influence of mutation and random genetic drift. In this talk, we investigate stochastic dynamic models for the two-parameter Poisson-Dirichlet distribution and Dirichlet process. We construct reversible diffusions with the two-parameter Poisson-Dirichlet distribution and Dirichlet processas their stationary distributions. This talk is based on joint work with Shui Feng.