Application d'estimateurs de la densité à la simulation d'épisodes pluvieux extrêmes en Languedoc-Roussillon
Revue de Statistique Appliquée, Volume 46 (1998) no. 4, p. 45-58
@article{RSA_1998__46_4_45_0,
     author = {Brunel, E.},
     title = {Application d'estimateurs de la densit\'e \`a la simulation d'\'episodes pluvieux extr\^emes en Languedoc-Roussillon},
     journal = {Revue de Statistique Appliqu\'ee},
     publisher = {Soci\'et\'e fran\c caise de statistique},
     volume = {46},
     number = {4},
     year = {1998},
     pages = {45-58},
     language = {fr},
     url = {http://www.numdam.org/item/RSA_1998__46_4_45_0}
}
Brunel, E. Application d'estimateurs de la densité à la simulation d'épisodes pluvieux extrêmes en Languedoc-Roussillon. Revue de Statistique Appliquée, Volume 46 (1998) no. 4, pp. 45-58. http://www.numdam.org/item/RSA_1998__46_4_45_0/

[1] Adamowski K., (1989), A Monte Carlo Comparison of Parametric and Nonparametric Estimation of Flood Frequencies, Journal of Hydrology, 108, 295-308.

[2] Behboodian J., (1970), On the Modes of a Mixture of two Normal Distributions, Technometrics, 12, 131-39. | Zbl 0195.20304

[3] Berlinet A., (1993), Hierarchies of Higher Order Kernels, Probab. Theory Relat. Fields, 94, 489-504. | MR 1201556 | Zbl 0795.62032

[4] Bhattacharaya C.J., (1967), A Simple Method of Resolution of a Distribution into Gaussian Components, Biometrics, 23, 115-35.

[5] Bosq D., Lecoutre J.P., (1987), Théorie de l'Estimation Fonctionnelle, Economica.

[6] Celeux G., Diebolt J., (1985), The SEM Algorithm : A Probabilistic Teacher Algorithm Derived from the EM Algorithm for the Mixture Problem, Computational Statistics Quarterly, vol. 2, Issue 1, 73-82.

[7] Deheuvels P., (1974), Conditions Nécessaires et Suffisantes de Convergence Presque Sûre et Uniforme Presque Sûre des Estimateurs de la Densité, C.R. Acad. Sci. Paris A, 278, 1217-1220. | MR 345296 | Zbl 0281.62041

[8] Deheuvels P., (1977), Estimation Non Paramétrique de la Densité par Histogrammes Généralisés, Rev. Statist. Appl., n°3, 35, 5-42. | Numdam | MR 501555

[9] Dempster A.P., Laird N.M., Rubin D.B., (1977), Maximum Likelihood from Incomplete Data via the EM Algorithm, J. Royal Statist. Soc., Serie B, 39, 1-38. | MR 501537 | Zbl 0364.62022

[10] Devroye L., (1983), The Equivalence of Weak, Strong and Complete Convergence in L1 for Kernel Density Estimates, Ann. Statist. 11, 896-904. | MR 707939 | Zbl 0521.62033

[11] Devroye L., (1986), Non-Uniform Random Variate Generation, Springer-Verlag. | MR 836973 | Zbl 0593.65005

[12] Everitt B.S., Hand D.J., (1981), Finite Mixture Distributions in Monographs on Applied Probability and Statistics, Chapman & Hall, London. | MR 624267 | Zbl 0466.62018

[13] Foufoula-Georgiou E., (1989), On the Accuracy of the Maximum Recorded Depth in Extreme Rainstorms, in Proceedings of the IAHS Third Scientific Assembly, Baltimore, 1989.

[14] Huff F.A., (1958), Hydrometeorological Analysis of Severe Rainstorms in Illinois, Rep. Invest. 35, State Water Survey, Urbana.

[15] Neppel L., (1997), Caractérisation de l'aléa climatique en Languedoc-Roussillon, Thèse de Docteur-Ingénieur de l'Université de Montpellier II.

[16] Redner R.A., Walker H.F., (1984), Mixture Densities, Maximum Likelihood and the EM Algorithm, SIAM Review, vol. 26, 2, 195-239. | MR 738930 | Zbl 0536.62021

[17] Richard F., Hansen E.M., Woodward D., (1988), Estimation of Precipitation Distribution and Amount in Extreme Events, Eos Trans., AGU, 69, 351.

[18] Scott D.W., (1992), Multivariate Density Estimation, Wiley Series in Probability and Mathematical Statistics. | MR 1191168 | Zbl 0850.62006

[19] Thao N.T.P., Bois P., Villasenor J.A., (1993), Simulation in Order to Choose a Fitting Method for Extreme Rainfall Data, Atmospheric Research, 30, 13-36.

[20] Tiago De Oliveira J., (1963), Estatistica de Densidades. Resultados Assintoticos. Rev. Fac. Ci. Univ. Lisboa, ser. A, 9, 111-206. | Zbl 0126.34202