A dozen de Finetti-style results in search of a theory

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1. D. Aldous, Exchangeability and Related Topics, Springer Lecture Notes in Math., No. 1196, 1985. Zbl0562.60042MR883646
2. E. Borel, Introduction géométrique à quelques théories physiques, Gauthier-Villars, Paris, 1914. Zbl45.0808.10JFM45.0808.10
3. P.C. Billingsley, Probability and Measure, Wiley, New York, 1979. Zbl0411.60001MR534323
4. I. Csiszár, Sanov Property, Generalized I Projections, and a Conditioned Limit Theorem, Ann. Prob., Vol. 12, 1984, p. 768-793. Zbl0544.60011MR744233
5. B. De Finetti, Funzioni caratteristica di un fenomeno aleatorio, Atti della R. Academia Nazionale dei Lincei Ser 6, Memorie Classe di Scienze Fisiche, Mathematiche e Naturali, Vol. 4, 1931, pp. 251-299. JFM57.0610.01
6. B. De Finetti, La prévision: ses lois logiques, ses sources subjectives, Ann. Inst. Henri Poincaré, Vol. 7, 1937, pp. 1-66. Zbl0017.07602MR1508036
7. P. Diaconis, Finite Forms of de Finetti's Theorem on Exchangeability, Synthèse, Vol. 36, 1978, pp. 271-281. Zbl0397.60005MR517222
8. P. Diaconis, M. Eaton and S. Lauritzen, (1986). Finite de Finetti Theorems, 1986, Unpublished manuscript. Zbl0795.62049
9. P. Diaconis and B. Efron, Probabilistic-Geometric Theorems Arising from the Analysis of Contingency Tables, Contributions to the Theory and Application of Statistics, A. GELFAND Ed. Academic Press, Boston, pp. 103-125. Zbl0709.60566MR901121
10. P. Diaconis and D. Freedman, Finite Exchangeable Sequences, Ann. Prob., Vol. 8, 1980, pp. 745-764. Zbl0434.60034MR577313
11. P. Diaconis and D. Freedman, Partial Exchangeability and Sufficiency, in Statistics, Applications, and New Directions, J. K. GHOSH and J. ROY Eds., 1984, pp. 205-236, Indian Statistical Institute, Calcutta. MR786142
12. P. Diaconis and D. Freedman, A Finite Version of de Finetti's Theorem for Exponential Families with Uniform Asymptotic Estimates, Technical report, Department of Statistics, University of California, Berkeley, 1986. 
13. L. Dubins and D. Freedman, Exchangeable Processes Need Not be Mixtures of Independent Identically Distributed Random Variables, Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, Vol. 48, 1979, pp. 115-132. Zbl0388.60036MR534840
14. M. Eaton, On the Projections of Isotropic Distributions, Ann. Stat., 9, 1981, pp. 391-400. Zbl0463.62016MR606622
15. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. I, 3rd Edition, Wiley, New York, 1968. Zbl0155.23101MR228020
16. W. Feller, An Introduction to Probability Theory and Its Applications, Vol. II, 2nd Edition, Wiley, New York, 1971. Zbl0219.60003MR270403
17. D. Freedman, Invariants Under Mixing which Generalize de Finetti's Theorem, Ann. Math. Statist., Vol. 33, 1962, pp. 916-923. Zbl0201.49501MR156369
18. D. Freedman, Invariants Under Mixing which Generalize de Finetti's Theorem: Coninuous Time Parameter, Ann. Math. Statist., Vol. 34, 1963, pp. 1194-1216. Zbl0253.60064MR189111
19. D. Freedman and D. Lane, The Empirical Distribution of Fourier Coefficients, Ann. Stat., Vol. 8, 1980, pp. 1244-51. Zbl0449.62036MR594641
20. L. Gallardo, Au sujet du contenu probabiliste d'un lemma d'Henri Poincaré, Annales de l'Université de Clermont, Vol. 69, 1983, pp. 192-197. 
21. R. Gâteaux, Sur la notion d'intégrale dans le domaine fonctionnel et sur la théorie du potentiel, Bull. Soc. Math. France, Vol. 47, 1919, pp. 47-67. Zbl47.0382.01JFM47.0382.01
22. E. Hewitt and L.J. Savage, Symmetric Measures on Cartesian Products, Trans. Amer. Math. Soc., Vol. 80, 1955, pp. 470-501. Zbl0066.29604MR76206
23. L. Holst, Two Conditional Limit Theorems with Applications, Ann. Prob., Vol. 7, 1979, pp. 1066-1072. MR527490
24. N. Johnson and N.L. Kotz, Urn Models and their Applications, Wiley, New York, 1977. Zbl0352.60001MR488211
25. J. Kersten, Verallgemeinerung eines Satzes von Prochrow und LeCam, Zeitschrift für Wahrscheinlichkeistheorie und verwandte Gebiete, Vo. 2, 1963, pp. 173-179. Zbl0123.35403
26. S.L. Lauritzen, Extreme Point Models in Statistics, Scand. Jour. Statist., Vol. 11, 1984, pp. 65-91. Zbl0542.62002MR754971
27. L. Lecam, Une théorème sur la division d'un intervalle par des points pris au hasard, Publ. Inst. Statist. Universitaire Paris, Vol. 7, 1958, pp. 7-16. Zbl0083.13803MR105735
28. G. Letac, Isotropy and Sphericity: Some Characterizations, Ann. Stat., Vol. 9, 1981, pp. 408- 417. Zbl0462.62014MR606624
29. P. Lévy, Leçons d'Analyse Fonctionnelle, Gauthier-Villars, Paris, 1922. JFM48.0453.01
30. P. Levy, Analyse Fonctionnelle, Mémorial des Sciences Mathématiques, Vol 5, Gauthier-Villars, Paris, 1925. JFM51.0311.02
31. P. Lévy, Problèmes concrets d'analyse fonctionnelle, Gauthier-Villars, Paris, 1951. Zbl0043.32302MR41346
32. P. Martin-Lof, Statistika Modeller Anteckningar fran seminarier läsåret, 1969-70 urarbetade av R. Sunberg, Institutionen för matematisk statistik, Stockholm's universitet. 
33. J.C. Maxwell, Theory of Heat, 4th ed. Longmans, London, 1875. Zbl1207.80001
34. J.C. Maxwell, On Boltzmann's theorem on the average distribution of energy in a system of material points, Cambridge Phil. Soc. Trans., Vol. 12, 1878, p. 547. JFM11.0776.01
35. H. Mckean, Geometry of differential space, Ann. Prob., Vol. 1, 1973, pp. 197-206. Zbl0263.60035MR353471
36. H. Poincaré, Calcul des probabilités, Gauthier-Villars, Paris, 1912. JFM43.0308.04
37. R. Pyke, Spacings, J. Royal Statist. Soc., B, Vol. 7, 1965, pp. 395-449. Zbl0144.41704MR216622
38. P. Ressell, de Finetti Type Theorems: an Analytic Approach, Ann. Prob., Vol. 13, 1985, pp. 898-922. Zbl0579.60012MR799427
39. D. Ruelle, Thermodynamic Formalism, Addison Wesley, Reading, Mass., 1978. Zbl0401.28016MR511655
40. I.J. Schoenberg, Metric Spaces and Positive Definite Functions, Trans. Amer. Math. Soc., Vol. 44, 1938, pp. 522-536. Zbl0019.41502MR1501980JFM64.0617.02
41. A.J. Stam, Limit Theorems for Uniform Distributions on High Dimensional Euclidean Spaces, J. Appl. Prob., Vol. 19, 1982, pp. 221-228. Zbl0485.60024MR644435
42. V. Vervaat, Upper Bounds for the Distance in Total Variation Between the Binomial or Negative Binomial and the Poisson Distribution, Statistica Neerlandica, Vol. 23, 1970, pp. 79-86. Zbl0162.22203MR242235
43. M. Yor, Inégalités de martingales continus arrêtés à un temps quelconques I, Springer Lecture Notes in Math., No. 1118, 1985. Zbl0563.60045
44. S. Zabell, Continuous Versions of Regular Conditional Distributions, Ann. Prob., Vol. 7, 1979, pp. 159-165. Zbl0392.60013MR515823
45. S. Zabell, Rates of Convergence for Conditional Expectations, Ann. Prob., Vol. 8, 1980, pp. 928-941. Zbl0441.60019MR586777
46. A. Zaman, A Finite Form of de Finetti's Theorem for Stationary Markov Chains, Ann. Prob., Vol. 14, 1986, pp. 1418-27. Zbl0608.60032MR866363

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