Charles E. Antoniak

Overview

Charles E. Antoniak was a statistician who, in his UC Berkeley doctoral work under Thomas Ferguson, developed the theory of mixtures of Dirichlet processes — a cornerstone of Bayesian nonparametrics.

Key Contributions / Features

• Mixtures of Dirichlet processes (Antoniak 1974): extended Ferguson's Dirichlet process to mixing/hierarchical settings, proved the closure of MDPs under posterior conditioning, and derived the distribution of the number of distinct clusters ($E[k]\approx M\log(1+n/M)$) that underpins Dirichlet-process-mixture inference and concentration-parameter estimation. Annals of Statistics 2(6): 1152–1174.

Related

• Dirichlet Process Mixture
• Thomas S. Ferguson
• Antoniak (1974)