Application de la théorie des valeurs extrêmes en hydrologie
Revue de Statistique Appliquée, Tome 54 (2006) no. 2, pp. 5-31. 
@article{RSA_2006__54_2_5_0,
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     title = {Application de la th\'eorie des valeurs extr\^emes en hydrologie},
     journal = {Revue de Statistique Appliqu\'ee},
     pages = {5--31},
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     volume = {54},
     number = {2},
     year = {2006},
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     url = {http://www.numdam.org/item/RSA_2006__54_2_5_0/}
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Guillou, A.; Willems, P. Application de la théorie des valeurs extrêmes en hydrologie. Revue de Statistique Appliquée, Tome 54 (2006) no. 2, pp. 5-31. http://www.numdam.org/item/RSA_2006__54_2_5_0/

Balkema A. et De Haan L. ( 1974), Residual life time at great age, Ann. Probab., 2, 792-804. | MR | Zbl

Beirlant J., Dierckx G. et Guillou A. ( 2005), Estimation of the extreme value index and regression on generalized quantile plots, Bernoulli, 11, 6, 949-970. | MR | Zbl

Beirlant J. et Guillou A. ( 2001), Pareto index estimation under moderate right censoring, Scand. Actuarial J., 2, 111-125. | MR | Zbl

Beirlant J., Guillou A., Delafosse E. et Fils-Villetard A. ( 2005), Estimation of the extreme value index and high quantiles under random censoring, soumis. | Zbl

Beirlant J., Vynckier P. et Teugels J.L. ( 1996), Tail index estimation, Pareto quantile plots, and regression diagnostics, J. Amer. Statist. Assoc., 91, 1659-1667. | MR | Zbl

Bernier J. ( 1967), Sur la théorie de renouvellement et son application en hydrologie, Hyd., 67, (10), Elec. France.

Bobée B. et Rasmussen P.F. ( 1995), Recent advances in flood frequency analysis, Reviews of Geophysics, Supplement, American Geophysical Union, 1111-1116.

Borgman L.E. ( 1963), Risk criteria, J. Waterways and Harbors Division, 80, 1-35.

Buishand T.A. ( 1989), Statistics of extremes in climatology, Statistica Neerlandica, 43, 1, 1-30. | Zbl

Chaouche A. et Bacro J.N. ( 2004), A statistical test procedure for the shape parameter of a generalized Pareto distribution, Comput. Statist. Data Anal., 45, 787-803. | MR | Zbl

Claps P. et Laio F. ( 2003), Can continuous streamflow data support flood frequency analysis ? An alternative to the partial duration series approach, Water Resour. Res., 39, 8, 1216, doi :10.1029/2002WR001868.

Coles S. ( 2001), Introduction to statistical modelling of extremes values, Springer Verlag. | MR | Zbl

Csörg? S., Deheuvels P. et Mason D. ( 1985), Kernel estimators of the tail index of a distribution, Ann. Statist., 13, 1050-1077. | MR | Zbl

Drees H. et Kaufmann E. ( 1998), Selecting the optimal sample fraction in univariate extreme value estimation, Stock. Proc. Applications, 75, 149-172. | MR | Zbl

Durrans S.R. et Tomic S. ( 2001), Comparison of parametric tail estimators for low-flow frequency analysis, J. American Water Resour. Assoc., 37, 5, 1203-1214.

Embrechts P., Klüppelberg C. et Mikosch T. ( 1997), Modelling extremal events, Springer, Berlin. | MR | Zbl

Ferro C.A.T. et Segers J. ( 2003), Inference for clusters of extreme values, J. Roy. Statist. Soc. Ser. B, 65, 545-556. | MR | Zbl

Gnedenko B.V. ( 1943), Sur la distribution limite du terme maximum d'une série aléatoire, Ann. Math., 44, 423-453. | MR | Zbl

Hall P. ( 1982), On some simple estimates of an exponent of regular variation, J. Roy. Statist. Soc. Ser. B, 44, 37-42. | MR | Zbl

Harremoës P. et Mikkelsen P.S. ( 1995), Properties of extreme point rainfall I : Results from a rain gauge system in Denmark, Atmos. Res., 37, 277-286.

Hill B.M. ( 1975), A simple general approach to inference about the tail of a distribution, Ann. Statist., 3, 1163-1174. | MR | Zbl

Hosking J.R.M. et Wallis J.R. ( 1987), Parameter and quantile estimation for the generalized Pareto distribution, Technometrics, 29, 339-349. | MR | Zbl

Kaplan E.L. et Meier P. ( 1958), Non-parametric estimation from incomplete observations, J. Amer. Statist. Assoc., 53, 457-481. | MR | Zbl

Klemes V. ( 1993), Probability of extreme hydrometeorological events - a different approach, In Extreme Hydrological Events : Precipitation, Floods and Droughts, IAHS Publ., 213, 167-176.

Kratz M. et Resnick S. ( 1996), The qq-estimator and heavy tails, Commun. Statist. Stochastic Models, 12, 699-724. | MR | Zbl

Lang M., Ouarda T.B.M.J. et Bobée B. ( 1999), Towards operational guidelines for over-threshold modeling, J. Hydrol., 225, 103-117.

Navratil O., Albert M.B. et Breil P. ( 2002), Water level time-series analysis for bank-full flow studies in rivers, in River Flow 2002 (Eds. Bousmar & Zech), Swets & Zeitlinger, Lisse, 1167-1175.

Pickands Iii P. ( 1975), Statistical inference using extreme order statistics, Ann. Statist., 3, 119-131. | MR | Zbl

Rasmussen P.F. ( 2001), Generalized probability weighted moments : application to the generalized Pareto distribution, Water Resour. Res., 37, 1745-1751.

Rasmussen P.F., Ashkar F., Rosbjerg D. et Bobée B. ( 1994), The POT method for flood estimation : a review, Stochastic and Statistical Methods in Hydrology and Environmental Engineering, K.W. Hipel (Ed.), Kluwer Academic Publishers, the Netherlands. Vol. 1 - Extreme values : floods and droughts : 15-26.

Rombauts S. et Willems P. ( 2003), Statistical analysis and composite hydrographs for the river Dender Basin (in Flemish), Technical Report, 165 pages, Flemish Water Administration AWZ, Antwerp, Belgium.

Rosbjerg D. ( 1987), On the annual maximum distribution in dependent partial duration series, Stochastic Hydrol. Hydraul., 1, 1, 3-16. | Zbl

Rosbjerg D. et Madsen H. ( 2004), Advanced approaches in PDS/POT modelling of extreme hydrological events, Hydrology : Science & Practice for the 21 st Century, Vol. I.

Rosbjerg D., Madsen H. et Rasmussen P.F. ( 1992), Prediction in partial duration series with generalized Pareto-distributed exceedances, Water Resour. Res., 28, 11,3001-3010.

Schultze J. et Steinebach J. ( 1996), On least squares estimates of an exponential tail coefficient, Statist. Decisions, 14, 353-372. | MR | Zbl

Shane R.M. et Lynn W.R. ( 1964), Mathematical model for flood risk evaluation, J. Hydraulics Division, 90, 1-20.

Smith R.L. ( 1987), Estimating tails of probability distributions, Ann. Statist., 15, 1174-1207. | MR | Zbl

Todorovic P. ( 1970), On some problems involving random number of random variables, Ann. Math. Statist., 41, 1059-1063. | MR | Zbl

Uswrc ( 1976), Guidelines for determining flood flow frequency, United States Water Resources Council, Bull. 17, Hydrol. Comm. Washington, DC, 73 p.

Willems P. ( 1998), Hydrological applications of extreme value analysis, In : Hydrology in a changing environment, H. Wheater and C. Kirby (ed.), John Wiley & Sons, Chichester, vol. III, 15-25.

Willems P., Vaes G., Popa D., Timbe L. et Berlamont J. ( 2002), Quasi 2D river flood modelling, In : River Flow 2002, D. Bousmar and Y. Zech (eds.), Swets and Zeitlinger, lisse, Vol. 2, 1253-1259.

Willems P. ( 2004), Extreme value analysis of rainfall-runoff and river discharges, under river flooding conditions, soumis.

Willems P., Guillou A. et Beirlant J. ( 2005), Bias correction to the asymptotic properties of hydrological GPD based extreme value distributions, by means of a slowly varying function, en révision à Water Resour. Res.