Assuming that the probability distribution of a finite sequence has a density depending solely on the extreme components we give an elementary criterion for extendibility of this sequence to an infinite exchangeable sequence of random variables, which turns out to be a mixture of iid uniformly...

Assuming that the probability distribution of a finite sequence has a density depending solely on the extreme components we give an elementary criterion for extendibility of this sequence to an infinite exchangeable sequence of random variables, which turns out to be a mixture of i.i.d....