Large deviations for a triangular array of exchangeable random variables
Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 5, pp. 649-680.
@article{AIHPB_2002__38_5_649_0,
     author = {Trashorras, Jos\'e},
     title = {Large deviations for a triangular array of exchangeable random variables},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {649--680},
     publisher = {Elsevier},
     volume = {38},
     number = {5},
     year = {2002},
     mrnumber = {1931582},
     zbl = {1034.60033},
     language = {en},
     url = {http://www.numdam.org/item/AIHPB_2002__38_5_649_0/}
}
TY  - JOUR
AU  - Trashorras, José
TI  - Large deviations for a triangular array of exchangeable random variables
JO  - Annales de l'I.H.P. Probabilités et statistiques
PY  - 2002
SP  - 649
EP  - 680
VL  - 38
IS  - 5
PB  - Elsevier
UR  - http://www.numdam.org/item/AIHPB_2002__38_5_649_0/
LA  - en
ID  - AIHPB_2002__38_5_649_0
ER  - 
%0 Journal Article
%A Trashorras, José
%T Large deviations for a triangular array of exchangeable random variables
%J Annales de l'I.H.P. Probabilités et statistiques
%D 2002
%P 649-680
%V 38
%N 5
%I Elsevier
%U http://www.numdam.org/item/AIHPB_2002__38_5_649_0/
%G en
%F AIHPB_2002__38_5_649_0
Trashorras, José. Large deviations for a triangular array of exchangeable random variables. Annales de l'I.H.P. Probabilités et statistiques, Tome 38 (2002) no. 5, pp. 649-680. http://www.numdam.org/item/AIHPB_2002__38_5_649_0/

[1] D.J. Aldous, Exchangeability and related topics, in: Ecole d'été de probabilités de Saint-Flour XIII-1983, Lecture Notes in Math., 1117, Springer, Berlin, 1985. | MR | Zbl

[2] J.R. Baxter, N.C. Jain, Comparison principle for large deviations, Proc. Amer. Math. Soc. 103 (1988) 1235-1240. | MR | Zbl

[3] D.A. Dawson, J. Gartner, Multilevel large deviations and interacting diffusions, Probab. Theory Related Fields 98 (1994) 423-487. | MR | Zbl

[4] A. Dembo, T. Zajic, Large deviations: From empirical mean and measure to partial sums process, Stoch. Proc. and Appl. 57 (1995) 191-224. | MR | Zbl

[5] A. Dembo, O. Zeitouni, Large deviations of sub-sampling from individual sequences, Statist. and Probab. Lett. 27 (1996) 201-205. | MR | Zbl

[6] A. Dembo, O. Zeitouni, Large Deviations Techniques and Applications, Springer, New York, 1998. | MR | Zbl

[7] J.D. Deuschel, D.W. Stroock, Large Deviations, Academic Press, Boston, 1989. | MR | Zbl

[8] P. Diaconis, D. Freedman, Finite exchangeable sequences, Ann. Probab. 8 (1980) 745-764. | MR | Zbl

[9] I.H. Dinwoodie, S.L. Zabell, Large deviations for exchangeable random vectors, Ann. Probab. 20 (1992) 1147-1166. | MR | Zbl

[10] P. Dupuis, R.S. Ellis, A Weak Convergence Approach to the Theory of Large Deviations, Wiley, New York, 1997. | MR | Zbl

[11] R.S. Ellis, Entropy, Large Deviations and Statistical Mechanics, Springer, New York, 1985. | MR | Zbl

[12] W. Feller, An Introduction to Probability Theory and its Applications, 2, Wiley, New York, 1971. | MR | Zbl

[13] M. Grunwald, Sanov results for Glauber spin-glass dynamics, Probab. Theory Related Fields 106 (1996) 187-232. | MR | Zbl

[14] J. Lynch, J. Sethuraman, Large deviations for processes with independent increments, Ann. Probab. 15 (1987) 610-627. | MR | Zbl

[15] S. Orey, Large deviations for the empirical field of Curie-Weiss models, Stochastics 25 (1988) 3-14. | Zbl

[16] F. Papangelou, On the gaussian fluctuations of the critical Curie-Weiss model in statistical mechanics, Probab. Theory Related Fields 83 (1989) 265-278. | Zbl

[17] F. Papangelou, Large deviations and the internal fluctuations of critical mean-field systems, Stoch. Proc. and Appl. 36 (1990) 1-14. | MR | Zbl

[18] D.W. Stroock, O. Zeitouni, Microcanonical distributions, Gibbs states, and the equivalence of ensembles, in: Durrettt R., Kesten H. (Eds.), Festschrift in Honour of F. Spitzer, Birkhäuser, Basel, 1991, pp. 399-424. | MR | Zbl