@article{AIHPB_1987__23_S2_397_0,
author = {Diaconis, Persi and Freedman, David},
title = {A dozen de Finetti-style results in search of a theory},
journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
volume = {23},
year = {1987},
pages = {397-423},
mrnumber = {898502},
zbl = {0619.60039},
language = {en},
url = {http://dml.mathdoc.fr/item/AIHPB_1987__23_S2_397_0}
}
Diaconis, Persi; Freedman, David. A dozen de Finetti-style results in search of a theory. Annales de l'I.H.P. Probabilités et statistiques, Tome 23 (1987) pp. 397-423. http://gdmltest.u-ga.fr/item/AIHPB_1987__23_S2_397_0/
, Exchangeability and Related Topics, Springer Lecture Notes in Math., No. 1196, 1985. | MR 883646 | Zbl 0562.60042
, Introduction géométrique à quelques théories physiques, Gauthier-Villars, Paris, 1914. | JFM 45.0808.10
, Probability and Measure, Wiley, New York, 1979. | MR 534323 | Zbl 0411.60001
, Sanov Property, Generalized I Projections, and a Conditioned Limit Theorem, Ann. Prob., Vol. 12, 1984, p. 768-793. | MR 744233 | Zbl 0544.60011
, 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. | JFM 57.0610.01
, La prévision: ses lois logiques, ses sources subjectives, Ann. Inst. Henri Poincaré, Vol. 7, 1937, pp. 1-66. | Numdam | MR 1508036 | Zbl 0017.07602
, Finite Forms of de Finetti's Theorem on Exchangeability, Synthèse, Vol. 36, 1978, pp. 271-281. | MR 517222 | Zbl 0397.60005
, and , (1986). Finite de Finetti Theorems, 1986, Unpublished manuscript.
and , 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. | MR 901121 | Zbl 0709.60566
and , Finite Exchangeable Sequences, Ann. Prob., Vol. 8, 1980, pp. 745-764. | MR 577313 | Zbl 0434.60034
and , 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. | MR 786142
and , 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.
and , Exchangeable Processes Need Not be Mixtures of Independent Identically Distributed Random Variables, Zeitschrift für Wahrscheinlichkeitstheorie und verwandte Gebiete, Vol. 48, 1979, pp. 115-132. | MR 534840 | Zbl 0388.60036
, On the Projections of Isotropic Distributions, Ann. Stat., 9, 1981, pp. 391-400. | MR 606622 | Zbl 0463.62016
, An Introduction to Probability Theory and Its Applications, Vol. I, 3rd Edition, Wiley, New York, 1968. | MR 228020 | Zbl 0155.23101
, An Introduction to Probability Theory and Its Applications, Vol. II, 2nd Edition, Wiley, New York, 1971. | MR 270403 | Zbl 0219.60003
, Invariants Under Mixing which Generalize de Finetti's Theorem, Ann. Math. Statist., Vol. 33, 1962, pp. 916-923. | MR 156369 | Zbl 0201.49501
, Invariants Under Mixing which Generalize de Finetti's Theorem: Coninuous Time Parameter, Ann. Math. Statist., Vol. 34, 1963, pp. 1194-1216. | MR 189111 | Zbl 0253.60064
and , The Empirical Distribution of Fourier Coefficients, Ann. Stat., Vol. 8, 1980, pp. 1244-51. | MR 594641 | Zbl 0449.62036
, Au sujet du contenu probabiliste d'un lemma d'Henri Poincaré, Annales de l'Université de Clermont, Vol. 69, 1983, pp. 192-197.
, 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. | JFM 47.0382.01 | Numdam
and , Symmetric Measures on Cartesian Products, Trans. Amer. Math. Soc., Vol. 80, 1955, pp. 470-501. | MR 76206 | Zbl 0066.29604
, Two Conditional Limit Theorems with Applications, Ann. Prob., Vol. 7, 1979, pp. 1066-1072. | MR 527490
and , Urn Models and their Applications, Wiley, New York, 1977. | MR 488211 | Zbl 0352.60001
, Verallgemeinerung eines Satzes von Prochrow und LeCam, Zeitschrift für Wahrscheinlichkeistheorie und verwandte Gebiete, Vo. 2, 1963, pp. 173-179. | Zbl 0123.35403
, Extreme Point Models in Statistics, Scand. Jour. Statist., Vol. 11, 1984, pp. 65-91. | MR 754971 | Zbl 0542.62002
, 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. | MR 105735 | Zbl 0083.13803
, Isotropy and Sphericity: Some Characterizations, Ann. Stat., Vol. 9, 1981, pp. 408- 417. | MR 606624 | Zbl 0462.62014
, Leçons d'Analyse Fonctionnelle, Gauthier-Villars, Paris, 1922. | JFM 48.0453.01
, Analyse Fonctionnelle, Mémorial des Sciences Mathématiques, Vol 5, Gauthier-Villars, Paris, 1925. | JFM 51.0311.02
, Problèmes concrets d'analyse fonctionnelle, Gauthier-Villars, Paris, 1951. | MR 41346 | Zbl 0043.32302
, Statistika Modeller Anteckningar fran seminarier läsåret, 1969-70 urarbetade av R. Sunberg, Institutionen för matematisk statistik, Stockholm's universitet.
, Theory of Heat, 4th ed. Longmans, London, 1875.
, 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. | JFM 11.0776.01
, Geometry of differential space, Ann. Prob., Vol. 1, 1973, pp. 197-206. | MR 353471 | Zbl 0263.60035
, Calcul des probabilités, Gauthier-Villars, Paris, 1912. | JFM 43.0308.04
, Spacings, J. Royal Statist. Soc., B, Vol. 7, 1965, pp. 395-449. | MR 216622 | Zbl 0144.41704
, de Finetti Type Theorems: an Analytic Approach, Ann. Prob., Vol. 13, 1985, pp. 898-922. | MR 799427 | Zbl 0579.60012
, Thermodynamic Formalism, Addison Wesley, Reading, Mass., 1978. | MR 511655 | Zbl 0401.28016
, Metric Spaces and Positive Definite Functions, Trans. Amer. Math. Soc., Vol. 44, 1938, pp. 522-536. | JFM 64.0617.02 | MR 1501980 | Zbl 0019.41502
, Limit Theorems for Uniform Distributions on High Dimensional Euclidean Spaces, J. Appl. Prob., Vol. 19, 1982, pp. 221-228. | MR 644435 | Zbl 0485.60024
, 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. | MR 242235 | Zbl 0162.22203
, Inégalités de martingales continus arrêtés à un temps quelconques I, Springer Lecture Notes in Math., No. 1118, 1985. | Zbl 0563.60045
, Continuous Versions of Regular Conditional Distributions, Ann. Prob., Vol. 7, 1979, pp. 159-165. | MR 515823 | Zbl 0392.60013
, Rates of Convergence for Conditional Expectations, Ann. Prob., Vol. 8, 1980, pp. 928-941. | MR 586777 | Zbl 0441.60019
, A Finite Form of de Finetti's Theorem for Stationary Markov Chains, Ann. Prob., Vol. 14, 1986, pp. 1418-27. | MR 866363 | Zbl 0608.60032