Chapter 8: Finite de Finetti style theorems

Abstract

The purpose of this chapter is to introduce the ideas surrounding the so called finite de Finetti style theorems. Four examples, one of which comes from the classical de Finetti theorem and three related to the normal distribution, are discussed here. These examples are introduced by first describing the "infinite version" of a result and then moving to the "finite version." In all of these examples, the infinite version came first, followed by a finite version. However, recent work on finite versions has suggested new infinite versions; some of these are discussed in the next chapter.