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A stochastic process is a collection of random variables usually indexed by a totally ordered set.

6 votes
1 answer
240 views

De Finetti-style theorem for Point Processes

I am new to point processes. I know there are a number of theorems along the lines that if a point process $\eta$ satisfies: Complete independence (the random variables $\eta(B_1), \ldots, \eta(B_n …
3 votes

Extreme couplings

The finite and infinite cases are actually quite different for this problem. In the simpler version of the finite case where $X=Y$ and $\mu=\nu$, you can show that the extreme points are introduced b …
Noah Stein's user avatar
  • 8,501
10 votes
Accepted

When is it possible to construct a joint law from its two-dimensional marginals?

I recently came upon this question in the context of distributions taking values in a finite set, but since yours take values in the compact interval $[0,1]$ I don't think much will go wrong applying …
Noah Stein's user avatar
  • 8,501