@article{RSA_2006__54_2_5_0, author = {Guillou, A. and Willems, P.}, title = {Application de la th\'eorie des valeurs extr\^emes en hydrologie}, journal = {Revue de Statistique Appliqu\'ee}, volume = {54}, year = {2006}, pages = {5-31}, language = {fr}, url = {http://dml.mathdoc.fr/item/RSA_2006__54_2_5_0} }
Guillou, A.; Willems, P. Application de la théorie des valeurs extrêmes en hydrologie. Revue de Statistique Appliquée, Tome 54 (2006) pp. 5-31. http://gdmltest.u-ga.fr/item/RSA_2006__54_2_5_0/
Residual life time at great age, Ann. Probab., 2, 792-804. | MR 359049 | Zbl 0295.60014
et ( 1974),Estimation of the extreme value index and regression on generalized quantile plots, Bernoulli, 11, 6, 949-970. | MR 2188836 | Zbl 1123.62034
, et ( 2005),Pareto index estimation under moderate right censoring, Scand. Actuarial J., 2, 111-125. | MR 1864448 | Zbl 0979.91047
et ( 2001),Estimation of the extreme value index and high quantiles under random censoring, soumis. | Zbl 1157.62027
, , et ( 2005),Tail index estimation, Pareto quantile plots, and regression diagnostics, J. Amer. Statist. Assoc., 91, 1659-1667. | MR 1439107 | Zbl 0881.62077
, et ( 1996),Sur la théorie de renouvellement et son application en hydrologie, Hyd., 67, (10), Elec. France.
( 1967),Recent advances in flood frequency analysis, Reviews of Geophysics, Supplement, American Geophysical Union, 1111-1116.
et ( 1995),Risk criteria, J. Waterways and Harbors Division, 80, 1-35.
( 1963),Statistics of extremes in climatology, Statistica Neerlandica, 43, 1, 1-30. | Zbl 0668.62085
( 1989),A statistical test procedure for the shape parameter of a generalized Pareto distribution, Comput. Statist. Data Anal., 45, 787-803. | MR 2054886 | Zbl 05373982 | Zbl pre05373982
et ( 2004),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.
et ( 2003),Introduction to statistical modelling of extremes values, Springer Verlag. | MR 1932132 | Zbl 0980.62043
( 2001),Kernel estimators of the tail index of a distribution, Ann. Statist., 13, 1050-1077. | MR 803758 | Zbl 0588.62051
, et ( 1985),Selecting the optimal sample fraction in univariate extreme value estimation, Stock. Proc. Applications, 75, 149-172. | MR 1632189 | Zbl 0926.62013
et ( 1998),Comparison of parametric tail estimators for low-flow frequency analysis, J. American Water Resour. Assoc., 37, 5, 1203-1214.
et ( 2001),Modelling extremal events, Springer, Berlin. | MR 1458613 | Zbl 0873.62116
, et ( 1997),Inference for clusters of extreme values, J. Roy. Statist. Soc. Ser. B, 65, 545-556. | MR 1983763 | Zbl 1065.62091
et ( 2003),Sur la distribution limite du terme maximum d'une série aléatoire, Ann. Math., 44, 423-453. | MR 8655 | Zbl 0063.01643
( 1943),On some simple estimates of an exponent of regular variation, J. Roy. Statist. Soc. Ser. B, 44, 37-42. | MR 655370 | Zbl 0521.62024
( 1982),Properties of extreme point rainfall I : Results from a rain gauge system in Denmark, Atmos. Res., 37, 277-286.
et ( 1995),A simple general approach to inference about the tail of a distribution, Ann. Statist., 3, 1163-1174. | MR 378204 | Zbl 0323.62033
( 1975),Parameter and quantile estimation for the generalized Pareto distribution, Technometrics, 29, 339-349. | MR 906643 | Zbl 0628.62019
et ( 1987),Non-parametric estimation from incomplete observations, J. Amer. Statist. Assoc., 53, 457-481. | MR 93867 | Zbl 0089.14801
et ( 1958),Probability of extreme hydrometeorological events - a different approach, In Extreme Hydrological Events : Precipitation, Floods and Droughts, IAHS Publ., 213, 167-176.
( 1993),The qq-estimator and heavy tails, Commun. Statist. Stochastic Models, 12, 699-724. | MR 1410853 | Zbl 0887.62025
et ( 1996),Towards operational guidelines for over-threshold modeling, J. Hydrol., 225, 103-117.
, et ( 1999),Water level time-series analysis for bank-full flow studies in rivers, in River Flow 2002 (Eds. Bousmar & Zech), Swets & Zeitlinger, Lisse, 1167-1175.
, et ( 2002),Statistical inference using extreme order statistics, Ann. Statist., 3, 119-131. | MR 423667 | Zbl 0312.62038
( 1975),Generalized probability weighted moments : application to the generalized Pareto distribution, Water Resour. Res., 37, 1745-1751.
( 2001),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.
, , et ( 1994),Statistical analysis and composite hydrographs for the river Dender Basin (in Flemish), Technical Report, 165 pages, Flemish Water Administration AWZ, Antwerp, Belgium.
et ( 2003),On the annual maximum distribution in dependent partial duration series, Stochastic Hydrol. Hydraul., 1, 1, 3-16. | Zbl 0662.60119
( 1987),Advanced approaches in PDS/POT modelling of extreme hydrological events, Hydrology : Science & Practice for the 21 st Century, Vol. I.
et ( 2004),Prediction in partial duration series with generalized Pareto-distributed exceedances, Water Resour. Res., 28, 11,3001-3010.
, et ( 1992),On least squares estimates of an exponential tail coefficient, Statist. Decisions, 14, 353-372. | MR 1437826 | Zbl 0893.62023
et ( 1996),Mathematical model for flood risk evaluation, J. Hydraulics Division, 90, 1-20.
et ( 1964),Estimating tails of probability distributions, Ann. Statist., 15, 1174-1207. | MR 902252 | Zbl 0642.62022
( 1987),On some problems involving random number of random variables, Ann. Math. Statist., 41, 1059-1063. | MR 261680 | Zbl 0198.51602
( 1970),Guidelines for determining flood flow frequency, United States Water Resources Council, Bull. 17, Hydrol. Comm. Washington, DC, 73 p.
( 1976),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.
( 1998),Quasi 2D river flood modelling, In : River Flow 2002, D. Bousmar and Y. Zech (eds.), Swets and Zeitlinger, lisse, Vol. 2, 1253-1259.
, , , et ( 2002),Extreme value analysis of rainfall-runoff and river discharges, under river flooding conditions, soumis.
( 2004),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.
, et ( 2005),