Abstract
A geometrical interpretation of independence and exchangeability leads to understanding the failure of de Finetti's theorem for a finite exchangeable sequence. In particular an exchangeable sequence of length r which can be extended to an exchangeable sequence of length k is almost a mixture of independent experiments, the error going to zero like 1/k.
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Diaconis, P. Finite forms of de Finetti's theorem on exchangeability. Synthese 36, 271–281 (1977). https://doi.org/10.1007/BF00486116
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DOI: https://doi.org/10.1007/BF00486116