Exchangeable Processes: de Finetti’s Theorem Revisited
Keyword(s):
A sequence of random variables is exchangeable if the joint distribution of any finite subsequence is invariant to permutations. De Finetti’s representation theorem states that every exchangeable infinite sequence is a convex combination of independent and identically distributed processes. In this paper, we explore the relationship between exchangeability and frequency-dependent posteriors. We show that any stationary process is exchangeable if and only if its posteriors depend only on the empirical frequency of past events.
2014 ◽
Vol 51
(2)
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pp. 483-491
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2012 ◽
Vol 49
(3)
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pp. 758-772
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2012 ◽
Vol 49
(03)
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pp. 758-772
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1958 ◽
Vol 10
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pp. 222-229
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1980 ◽
Vol 30
(1)
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pp. 5-14
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