Topics in Nonparametric Bayesian Statistics

TL;DR

This chapter provides an overview of the development and current research themes in nonparametric Bayesian statistics, highlighting its growth and diverse applications since 1973.

Contribution

It summarizes theoretical and applied research areas in nonparametric Bayesian statistics, extending previous reviews and offering insights into ongoing developments.

Findings

Growth of the field since 1973

Diverse research themes in theory and applications

Extension of previous review works

Abstract

The intersection set of Bayesian and nonparametric statistics was almost empty until about 1973, but now is growing at a healthy rate. This chapter, for the {\it Highly Structured Stochastic Systems} book (Oxford University Press, 2003) gives an overview of various theoretical and applied research themes inside this field, partly complementing and extending recent reviews of Dey, M{\"u}ller and Sinha (1998) and Walker, Damien, Laud and Smith (1999). The intention is not to be complete or exhaustive, but rather to touch on research areas of interest, partly by example.