Multivariate quantiles in hydrological frequency analysis

Abdous, 1992, Note on the spatial quantile of a random vector, Statistics and Probability Letters, 13, 333, 10.1016/0167-7152(92)90043-5

Adamowski, 1990, Nonparametric flood frequency analysis with historical information, ASCE Journal of Hydraulic Engineering, 116, 1035, 10.1061/(ASCE)0733-9429(1990)116:8(1035)

Ashkar F 1980 Partial duration series models for flood analysis PhD Thesis

Ashkar, 1996, On some methods of fitting the generalized Pareto distribution, Journal of Hydrology, 177, 117, 10.1016/0022-1694(95)02793-9

Ashkar, 1998, A bivariate analysis of the volume and duration of low-flow events, Stochastic Hydrology and Hydraulics, 12, 97, 10.1007/s004770050012

Belzunce, 2007, Quantile curves and dependence structure for bivariate distributions, Computational Statistics & Data Analysis, 51, 5112, 10.1016/j.csda.2006.08.017

Chaudhuri, 1996, On a geometric notion of quantiles for multivariate data, Journal of the American Statistical Association, 91, 862, 10.2307/2291681

Chebana, 2007, Multivariate L-moment homogeneity test, Water Resources Research, 43, W08406, 10.1029/2006WR005639

Chebana, 2008, Depth and homogeneity in regional flood frequency analysis, Water Resources Research, 44, W11422, 10.1029/2007WR006771

Chebana F El Adlouni S Bobée B 2009 Mixed estimation methods for Halphen distributions with applications in extreme hydrologic events Stochastic Environmental Research and Risk Assesment

Chow, 1988, Applied Hydrology

Cunnane, 1978, Unbiased plotting positions-a review, Journal of Hydrology, 37, 205, 10.1016/0022-1694(78)90017-3

Cunnane, 1987, Hydrologic Frequency Modeling, 49, 10.1007/978-94-009-3953-0_4

De Michele, 2005, Bivariate statistical approach to check adequacy of dam spillway, Journal of Hydrologic Engineering, 10, 50, 10.1061/(ASCE)1084-0699(2005)10:1(50)

Einmahl, 1992, Generalized quantile processes, Annals of Mathematical Statistics, 20, 1062, 10.1214/aos/1176348670

Fermanian, 2005, Goodness-of-fit tests for copulas, Journal of Multivariate Analysis, 95, 119, 10.1016/j.jmva.2004.07.004

Ferguson, 1967, Mathematical Statistics: A Decision Theoretic Approach

Genest, 1993, Statistical inference procedures for bivariate Archimedean copulas, Journal of the American Statistical, 88, 1034, 10.2307/2290796

Genest, 2009, Goodness-of-fit tests for copulas: a review and a power study, Insurance: Mathematics and Economics, 44, 199, 10.1016/j.insmatheco.2007.10.005

Ghoudi, 1998, Propriétés statistiques des copules de valeurs extrêmes bidimensionnelles, Canadian Journal of Statistics, 26, 87, 10.2307/3315683

Gumbel, 1967, Some analytical properties of bivariate extreme distributions, Journal of the American Statistical Association, 62, 569, 10.2307/2283984

Hettmansperger, 1992, L1-Statistical analysis and related methods, 267

Hosking, 1997, Regional Frequency Analysis: An Approach Based on L-Moments, 10.1017/CBO9780511529443

Johnson, 1995, Continuous Univariate Distributions

Jones, 1993, Lebesgue Integration on Euclidean Space

Kim, 2003, Nonparametric approach for estimating return periods of droughts in arid regions, Journal of Hydrologic Engineering, 8, 237, 10.1061/(ASCE)1084-0699(2003)8:5(237)

Koltchinskii V Dudley RM 1996 On spatial quantiles

Martins, 2000, Generalized maximum-likelihood generalized extreme-value quantile estimators for hydrologic data, Water Resources Research, 36, 737, 10.1029/1999WR900330

Nelsen, 2006, An Introduction to copulas

Ouarda, 2001, Regional flood frequency estimation with canonical correlation analysis, Journal of Hydrology, 254, 157, 10.1016/S0022-1694(01)00488-7

Pickands J 1981 Multivariate extreme value distributions Proceedings of the 43rd Session 859 878

Rao, 2000, Flood Frequency Analysis

Salvadori, 2007, Extremes in Nature: An Approach Using Copulas, 10.1007/1-4020-4415-1

Salvadori, 2004, Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals, Geophysical Research Letters, 31, L04502.1, 10.1029/2003GL018767

Scott, 1992, Multivariate Density Estimation, Theory, Practice and Visualization, 10.1002/9780470316849

Serfling, 2002, Quantile functions for multivariate analysis: approaches and applications, Statistica Neerlandica, 56, 214, 10.1111/1467-9574.00195

Shiau, 2003, Return period of bivariate distributed extreme hydrological events, Stochastic Environmental Research and Risk Assessment, 17, 42, 10.1007/s00477-003-0125-9

Singh, 2002, On the status of flood frequency analysis, Hydrological Processes, 16, 3737, 10.1002/hyp.5083

Sklar, 1959, Fonctions de répartition à n dimensions et leurs marges, Publications de L'institut de Statistique de L'université de Paris, 8, 229

Stedinger, 1986, Regional hydrologic analysis, 2, model-error estimators, estimation of sigma and log Pearson type 3 distributions, Water Resources Research, 22, 1487, 10.1029/WR022i010p01487

Yue, 1999, The Gumbel mixed model for flood frequency analysis, Journal of Hydrology, 226, 88, 10.1016/S0022-1694(99)00168-7

Zhang, 2006, Bivariate flood frequency analysis using the copula method, Journal of Hydrologic Engineering, 11, 150, 10.1061/(ASCE)1084-0699(2006)11:2(150)

Zuo, 2000, General notions of statistical depth function, Annals of Statistics, 28, 461, 10.1214/aos/1016218226