Distributional Results Relating to the Posterior of a Dirichlet Process Prior

TL;DR

This paper derives distributional results for the posterior parameters of the Sethuraman representation of the Dirichlet process, enabling straightforward computation of the posterior distribution.

Contribution

It provides new distributional results for the posterior parameters of the Dirichlet process in Sethuraman's representation, simplifying posterior analysis.

Findings

Distributional results for posterior parameters derived

Simplified computation of Dirichlet process posterior

Enhanced understanding of Dirichlet process structure

Abstract

The aim of this paper is to find distributional results for the posterior parameters which arise in the Sethuraman (1994) representation of the Dirichlet process. These results can then be used to derive simply the posterior of the Dirichlet process.