Une procédure bayésienne de sélection/validation différentielle pour déterminer le domaine d'attraction des valeurs extrêmes
Revue de Statistique Appliquée, Tome 52 (2004) no. 4, pp. 5-31. 
@article{RSA_2004__52_4_5_0,
     author = {Parent, Eric and Bernier, Jacques},
     title = {Une proc\'edure bay\'esienne de s\'election/validation diff\'erentielle pour d\'eterminer le domaine d'attraction des valeurs extr\^emes},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {5--31},
     publisher = {Soci\'et\'e fran\c{c}aise de statistique},
     volume = {52},
     number = {4},
     year = {2004},
     language = {fr},
     url = {http://archive.numdam.org/item/RSA_2004__52_4_5_0/}
}
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Parent, Eric; Bernier, Jacques. Une procédure bayésienne de sélection/validation différentielle pour déterminer le domaine d'attraction des valeurs extrêmes. Revue de Statistique Appliquée, Tome 52 (2004) no. 4, pp. 5-31. http://archive.numdam.org/item/RSA_2004__52_4_5_0/

Ancey C. (1996), Guide Neige et Avalanche : Connaissances, pratiques, sécurité. Éditions Édisud.

Berger J.O. (1985), Statistical decision theory and Bayesian analysis. Springer Verlag, New York. | MR | Zbl

Berger J.O. and Pericchi L. (1996), The intrinsic Bayes factor for model selection and prediction. Journal of the American Statistical Association, 91, 109 -122. | MR | Zbl

Bernardo J.M. and Smith A.F.M. (1994), Bayesian theory. John Wiley and Sons, Londres. | MR | Zbl

Bernier J., Parent E., Boreux J.J. (2000), Statistique pour l'environnement. Traitement bayésien de l'incertitude. Lavoisier, Tec § Doc.

Carlin B.P. and Chib S. (1995), B ayesian Model Choice via Markov Chain Monte Carlo Methods. Journal of the Royal Statistical Society, B 57, 3 473-484. | Zbl

Chaouche A. and Bacro J.N. (2003), A statistical test procedure for the shape parameter of the generalized Pareto distribution, Comp. Stat. Data An.

Chib S. and Jeliazkov I. (1995), Marginal Likelihood from the Gibbs Output, J. Amer. Stat. Assoc.,90, 1313-1321. | MR | Zbl

Chib S. and Jeliazkov I. (2001), Marginal Likelihood from the Metropolis-Hastings Output, J. Amer. Stat. Assoc., 96, 270-281. | MR | Zbl

Coles S.G. (2001), An introduction to statistical modeling of extreme values. Springer Verlag, New York. | MR | Zbl

Coles S.G. and Powell E.A. (1996), Bayesian methods in extreme value modelling : a review and new developments. Internat. Stat. Rev. 64, 119- 136. | Zbl

Davison A.C. and Smith R.L. (1990), Models for exceedances over high thresholds (with discussion). Journal of the Royal Statistical Society, B 52, 393-442. | MR | Zbl

Ferguson T. (1973), A Bayesian Analysis of Some Non Parametric Problems. Annals Statist. 1, 209-230. | MR | Zbl

Fisher R.A., Tippett L.H.C. (1928), Limiting forms of the frequency distribution of the largest or the smallest member of a sample. Proc. Cambridge Philo Soc. 24, 180-190. | JFM

Fortin V., Bernier J. et Bobée B. (1997), Simulation, Bayes, and bootstrap in statistical hydrology. Water Resour. Res., 33 (3) : 439-448.

Fréchet M. (1927), Sur la loi de probabilité de l'écart maximum. Annals of Polnish Math. Soc. 6, 93. | JFM

Gelfand A.E. and Dey D.K. (1995), Bayesian Model Choice : Asymptotics and exact calculations. Journal of the Royal Statistical Society, B 56, 3 501-514. | MR | Zbl

Gelfand A. and Smith A.F.M. (1990), Sampling-based approaches to calculating marginal densities. Journ. Amer. Stat. Ass., 85: 398-409. | MR | Zbl

Gelman A., Carlin J.B., Stern H.S. and Rubin D.B. (1995), Bayesian data analysis. Chapman and Hall, Londres. | MR | Zbl

Gelman A. and Rubin D.B. (1992), Inference from iterative simulation using multiple sequences, Statistical Science, 7, 457-511.

Gelman A., Meng X. and Stern H. (1996), Posterior Predictive Assessment of Model Fitness via Realized Discrepancies. Statistica Sinica 6, 733- 807 | MR | Zbl

Han C. and Carlin B.P. (2000), MCMC methods for computing Bayes factors : a comparative review. Division of Biostatistics, University of Minnesota. MCMCpreprint, available at http ://www.stat.duke.edu.

Hoeting J.A., Madigan D., Raftery A.E., Volinsky C.T. (1999), Bayesian model averaging : A Tutorial, Statistical Science, 14, 4, p. 382- 417. | MR | Zbl

Kadane J.B., Wolson L.J., O'Hagan A., Craig R. (1998), Papers on 'Elicitation' and Discussions. The Statistician 47 (1), 3-53.

Kass R.E. and Raftery A.E. (1994), Bayes factors. J. Amer. Stat. Assoc., 90, 773-795. | Zbl

Laplace P.S. (1847), Œuvres, Tome VII, Théorie analytique des probabilités. Reprint 1995. Editions Jacques Gabay, Paris.

Lehman E.L. (1986), Theory ofpoint estimation. 2nd edition. John Wiley and Sons, New York.

O'Hagan A. (1997), Properties of intrinsic and fractional Bayes factors. Test 6, 101-118. | MR | Zbl

O'Hagan A. (1998), Elicitation expert beliefs in substancial practical applications - The Statistician 47 (1), 21- 35.

Parent E., Bernier J. (2001), Méthodes bayésiennes et modélisation des risques géophysiques extrêmes. La Revue de Modulad. 28: 1- 26. INRIA.

Parent E., Bernier J. (2002), Bayesian P.O.T. modeling for historical data. Journal of Hydrology, 274: 95-108.

Pickands J. (1975), Statistical inference using extreme order statistics. Ann. Stat., 3, 11-130. | MR | Zbl

Smith R.L. (1984), Threshold model for sample extreme in T. de Oliveira (ed.), Statistical Extremes and Applications, 621- 638. Reidel Dordrecht. | MR | Zbl

Tanner M.A. (1996), Tools for statistical inference : methods for the exploration of posterior distribution and likelihoodfunctions. Springer Verlag, New York. | MR | Zbl