Large deviations for a triangular array of exchangeable random variables

José Trashorras

Annales de l'I.H.P. Probabilités et statistiques (2002)

  • Volume: 38, Issue: 5, page 649-680
  • ISSN: 0246-0203

How to cite

top

Trashorras, José. "Large deviations for a triangular array of exchangeable random variables." Annales de l'I.H.P. Probabilités et statistiques 38.5 (2002): 649-680. <http://eudml.org/doc/77728>.

@article{Trashorras2002,
author = {Trashorras, José},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
language = {eng},
number = {5},
pages = {649-680},
publisher = {Elsevier},
title = {Large deviations for a triangular array of exchangeable random variables},
url = {http://eudml.org/doc/77728},
volume = {38},
year = {2002},
}

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
PB - Elsevier
VL - 38
IS - 5
SP - 649
EP - 680
LA - eng
UR - http://eudml.org/doc/77728
ER -

References

top
  1. [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. Zbl0562.60042MR883646
  2. [2] J.R. Baxter, N.C. Jain, Comparison principle for large deviations, Proc. Amer. Math. Soc.103 (1988) 1235-1240. Zbl0659.60047MR955016
  3. [3] D.A. Dawson, J. Gartner, Multilevel large deviations and interacting diffusions, Probab. Theory Related Fields98 (1994) 423-487. Zbl0794.60015MR1271106
  4. [4] A. Dembo, T. Zajic, Large deviations: From empirical mean and measure to partial sums process, Stoch. Proc. and Appl.57 (1995) 191-224. Zbl0838.60026MR1334969
  5. [5] A. Dembo, O. Zeitouni, Large deviations of sub-sampling from individual sequences, Statist. and Probab. Lett.27 (1996) 201-205. Zbl0852.60030MR1395567
  6. [6] A. Dembo, O. Zeitouni, Large Deviations Techniques and Applications, Springer, New York, 1998. Zbl0896.60013MR1619036
  7. [7] J.D. Deuschel, D.W. Stroock, Large Deviations, Academic Press, Boston, 1989. Zbl0705.60029MR997938
  8. [8] P. Diaconis, D. Freedman, Finite exchangeable sequences, Ann. Probab.8 (1980) 745-764. Zbl0434.60034MR577313
  9. [9] I.H. Dinwoodie, S.L. Zabell, Large deviations for exchangeable random vectors, Ann. Probab.20 (1992) 1147-1166. Zbl0760.60025MR1175254
  10. [10] P. Dupuis, R.S. Ellis, A Weak Convergence Approach to the Theory of Large Deviations, Wiley, New York, 1997. Zbl0904.60001MR1431744
  11. [11] R.S. Ellis, Entropy, Large Deviations and Statistical Mechanics, Springer, New York, 1985. Zbl0566.60097MR793553
  12. [12] W. Feller, An Introduction to Probability Theory and its Applications, 2, Wiley, New York, 1971. Zbl0219.60003MR270403
  13. [13] M. Grunwald, Sanov results for Glauber spin-glass dynamics, Probab. Theory Related Fields106 (1996) 187-232. Zbl0880.60021MR1410687
  14. [14] J. Lynch, J. Sethuraman, Large deviations for processes with independent increments, Ann. Probab.15 (1987) 610-627. Zbl0624.60045MR885133
  15. [15] S. Orey, Large deviations for the empirical field of Curie–Weiss models, Stochastics25 (1988) 3-14. Zbl0657.60040
  16. [16] F. Papangelou, On the gaussian fluctuations of the critical Curie–Weiss model in statistical mechanics, Probab. Theory Related Fields83 (1989) 265-278. Zbl0684.60080
  17. [17] F. Papangelou, Large deviations and the internal fluctuations of critical mean-field systems, Stoch. Proc. and Appl.36 (1990) 1-14. Zbl0703.60023MR1075597
  18. [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. Zbl0745.60105MR1146461

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.