作者:Ascolani, F.; Lijoi, A.; Rebaudo, G.; Zanella, G.
作者单位:Bocconi University; Bocconi University; University of Texas System; University of Texas Austin; Bocconi University; Bocconi University
摘要:Dirichlet process mixtures are flexible nonparametric models, particularly suited to density estimation and probabilistic clustering. In this work we study the posterior distribution induced by Dirichlet process mixtures as the sample size increases, and more specifically focus on consistency for the unknown number of clusters when the observed data are generated from a finite mixture. Crucially, we consider the situation where a prior is placed on the concentration parameter of the underlying...