Multivariate hydrological frequency analysis using copulas -: art. no. W01101

被引:550
作者
Favre, AC
El Adlouni, S
Perreault, L
Thiémonge, N
Bobée, B
机构
[1] Univ Quebec, INRS, Chaire Hydrol Stat, Ste Foy, PQ G1V 4C7, Canada
[2] Inst Rech Hydro Quebec, Varennes, PQ J3X 1S1, Canada
[3] Hydro Quebec, Montreal, PQ H2L 4P5, Canada
关键词
frequency analysis; extreme values; bivariate distribution; copulas;
D O I
10.1029/2003WR002456
中图分类号
X [环境科学、安全科学];
学科分类号
08 ; 0830 ;
摘要
[1] This article presents the modeling of multivariate extreme values using copulas. Our approach allows us to model the dependence structure independently of the marginal distributions, which is not possible with standard classical methods. The methodology has been applied on two different problems in hydrology. The first application is concerned with the combined risk in the framework of frequency analysis. Four copulas have been tested on peak flows from the watershed of Peribonka in Quebec, Canada. The second application relates to the joint modeling of peak flows and volumes. Three copulas have been applied to the watershed of the Rimouski River in Quebec, Canada. This approach using copulas is promising since it allows us to take into account a wide range of correlation which can happen in hydrology.
引用
收藏
页码:W011011 / W0110112
页数:12
相关论文
共 58 条
[21]  
Frank MJ., 1979, AEQUATIONES MATH, V19, P194, DOI [10.1007/BF02189866, DOI 10.1007/BF02189866]
[22]  
Frees E.W., 1998, N. Am. Actuar. J., V2, P1, DOI DOI 10.1080/10920277.1998.10595667
[23]   ORDER STATISTICS OF SAMPLES FROM MULTIVARIATE DISTRIBUTIONS [J].
GALAMBOS, J .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1975, 70 (351) :674-680
[24]   ARCHIMEDEAN COPULAS AND FAMILIES OF BIDIMENSIONAL LAWS FOR WHICH THE MARGINALS ARE GIVEN [J].
GENEST, C ;
MACKAY, RJ .
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 1986, 14 (02) :145-159
[25]   On Blest's measure of rank correlation [J].
Genest, C ;
Plante, JF .
CANADIAN JOURNAL OF STATISTICS-REVUE CANADIENNE DE STATISTIQUE, 2003, 31 (01) :35-52
[26]  
GENEST C, 1994, CR ACAD SCI I-MATH, V318, P351
[27]   THE JOY OF COPULAS - BIVARIATE DISTRIBUTIONS WITH UNIFORM MARGINALS [J].
GENEST, C ;
MACKAY, J .
AMERICAN STATISTICIAN, 1986, 40 (04) :280-283
[28]   STATISTICAL-INFERENCE PROCEDURES FOR BIVARIATE ARCHIMEDEAN COPULAS [J].
GENEST, C ;
RIVEST, LP .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1993, 88 (423) :1034-1043
[29]  
GENEST C, 1987, BIOMETRIKA, V74, P549, DOI 10.1093/biomet/74.3.549
[30]   BIVARIATE EXPONENTIAL-DISTRIBUTIONS [J].
GUMBEL, EJ .
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION, 1960, 55 (292) :698-707