Proof Explained: Touchette-Lloyd Theorem
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This is a sequel to our previous post on the Touchette-Lloyd theorem[1]. The previous post contained some introductory material and motivation for the theorem. Here, we will walk through the proof of the theorem and explore its applications in a few worked examples. It isn't strictly necessary to read that post before this one, but we recommend it if anything in this post seems unclear or if you would like some more background.Recap and SetupThe theorem concerns three random variables. These are
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