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Exchangeable random variables

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In statistics, an exchangeable sequence of random variables (also sometimes interchangeable) is a sequence X1, X2, X3, ... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which finitely many of them appear are altered. Thus, for example the sequences

Exchangeable random variables - Wikipedia Jump to content From Wikipedia, the free encyclopedia Concept in statistics In statistics , an exchangeable sequence of random variables (also sometimes interchangeable ) [ 1 ] is a sequence X 1 ,  X 2 ,  X 3 , ... (which may be finitely or infinitely long) whose joint probability distribution does not change when the positions in the sequence in which finitely many of them appear are altered. In other words, the joint distribution is invariant to finite permutation. Thus, for example the sequences X 1 , X 2 , X 3 , X 4 , X 5 , X

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