Finite forms of de finetti's theorem on exchangeability
Synthese 36 (2):271 - 281 (1977)
| 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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Roberto Festa (1996). Analogy and Exchangeability in Predictive Inferences. Erkenntnis 45 (2-3):229 - 252.
P. Diaconis & D. Freedman (1980). Finite Exchangeable Sequences. The Annals of Probability 8:745--64.
Ross Willard (2000). A Finite Basis Theorem for Residually Finite, Congruence Meet-Semidistributive Varieties. Journal of Symbolic Logic 65 (1):187-200.
Jan von Plato (1989). De Finetti's Earliest Works on the Foundations of Probability. Erkenntnis 31 (2-3):263 - 282.
Jan von Plato (1982). The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability. Synthese 53 (3):419 - 432.
Jan Plato (1982). The Significance of the Ergodic Decomposition of Stationary Measures for the Interpretation of Probability. Synthese 53 (3):419-432.
Attilio Wedlin (1996). On the Notion of Second-Order Exchangeability. Erkenntnis 45 (2-3):177 - 194.
Jan von Plato (1982). The Generalization of de Finetti's Representation Theorem to Stationary Probabilities. PSA: Proceedings of the Biennial Meeting of the Philosophy of Science Association 1982:137 - 144.
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