On a representation theorem for finitely exchangeable random vectors

Svante Janson, Takis Konstantopoulos, Linglong Yuan

A random vector $X=(X_1,\dots ,X_n)$ with the $X_i$ taking values in an arbitrary measurable space $(S,\mathcal{S})$ is exchangeable if its law is the same as that of $(X_{σ(1)},…