Questions tagged [exchangeability]

A set of random variables is exchangeable when their joint distribution is invariant under any permutation of the random variables.

Wikipedia has an article https://en.wikipedia.org/wiki/Exchangeable_random_variables with further references.

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Is independence subjective?

I am trying to better understand exchangeability. Suppose that I would like to run an experiment. I will pick two people and give each a fair coin and tell them to toss N times in a row. The difference is that to the person A I will tell that the…
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Can I predict if my sequence is exchangeable?

Supppose I have a sequence as so (which we can really think of as a sequence of smaller sequences): [[1 1 1 1 1 1], [2 2 2 2 2 2], [3 3 3 3 3 3], [4 4 4 4 4 4]] Is it exchangeable? Is it not? Why? It is a fairly loose question I know, but I am…
Astrid
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