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Volumn 2, Issue 1, 2009, Pages 32-44

Bivariate flood frequency analysis. Part 2: A copula-based approach with mixed marginal distributions

Author keywords

Bivariate distribution; Copula; Frequency analysis; Grand Forks; Nonparametric; Red River; Return period

Indexed keywords

AKAIKE INFORMATION CRITERION; BAYESIAN ANALYSIS; FLOOD FREQUENCY; FREQUENCY ANALYSIS; PEAK FLOW; RETURN PERIOD; STREAMFLOW;

EID: 68949198858     PISSN: None     EISSN: None     Source Type: Journal    
DOI: 10.1111/j.1753-318X.2009.01020.x     Document Type: Article
Times cited : (144)

References (40)
  • 1
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike H. A new look at the statistical model identification. IEEE Trans Autom Control 1974, 19, (6), 716 722.
    • (1974) IEEE Trans Autom Control , vol.19 , Issue.6 , pp. 716-722
    • Akaike, H.1
  • 2
    • 0020252843 scopus 로고
    • A multivariate statistical analysis of flood magnitude, duration, and volume
    • V.P. Singh. ed. Fort Collins, CO. Water Resource Publication
    • Ashkar F. Rousselle J. A multivariate statistical analysis of flood magnitude, duration, and volume. In : V.P. Singh, ed. Statistical analysis of rainfall and runoff. Fort Collins, CO : Water Resource Publication, 1982, 659 669.
    • (1982) Statistical Analysis of Rainfall and Runoff. , pp. 659-669
    • Ashkar, F.1    Rousselle, J.2
  • 7
    • 23444460051 scopus 로고    scopus 로고
    • Estimating the tail-dependence coefficient: Properties and pitfalls
    • Frahm G., Junker M. Schmidt R. Estimating the tail-dependence coefficient: properties and pitfalls. Insur Math Econ 2005, 37, 80 100.
    • (2005) Insur Math Econ , vol.37 , pp. 80-100
    • Frahm, G.1    Junker, M.2    Schmidt, R.3
  • 8
    • 34347377353 scopus 로고    scopus 로고
    • Everything you always wanted to know about copula modeling but were afraid to ask
    • Genest C. Favre A.C. Everything you always wanted to know about copula modeling but were afraid to ask. J Hydrol Eng ASCE 2007, 12, (4), 347 368.
    • (2007) J Hydrol Eng ASCE , vol.12 , Issue.4 , pp. 347-368
    • Genest, C.1    Favre, A.C.2
  • 9
    • 35848967004 scopus 로고    scopus 로고
    • Metaelliptical copulas and their use in frequency analysis of multivariate hydrological data
    • doi: 10.1029/2006WR005275. 1 12
    • Genest C., Favre A.C., Be'liveau J. Jacques C. Metaelliptical copulas and their use in frequency analysis of multivariate hydrological data. Water Resour Res 2007a, 43, W09401, doi: 10.1029/2006WR005275. 1 12.
    • (2007) Water Resour Res , vol.43 , pp. 09401
    • Genest, C.1    Favre, A.C.2    Be'Liveau, J.3    Jacques, C.4
  • 10
    • 84988077149 scopus 로고
    • Copules archimédiennes et familles de lois bidimensionnelles dont les marges sont données
    • Genest C. MacKay J. Copules archimédiennes et familles de lois bidimensionnelles dont les marges sont données. Can J Stat/Revue Can Stat 1986, 14, (2), 145 159.
    • (1986) Can J Stat/Revue Can Stat , vol.14 , Issue.2 , pp. 145-159
    • Genest, C.1    MacKay, J.2
  • 11
    • 63449084564 scopus 로고    scopus 로고
    • Goodness-of-fit tests for copulas: A review and a power study
    • In press - doi: 10.1016/j.insmatheco.2007.10.005
    • Genest C., Remillard B. Beaudoin D. Goodness-of-fit tests for copulas: a review and a power study. Insur Math Econ 2007b. (In press - doi :).
    • (2007) Insur Math Econ
    • Genest, C.1    Remillard, B.2    Beaudoin, D.3
  • 12
    • 84936112669 scopus 로고
    • Statistical inference procedure for bivariate Archimedean copulas
    • Genest C. Rivest L.P. Statistical inference procedure for bivariate Archimedean copulas. J Am Stat Assoc 1993, 88, 1034 1043.
    • (1993) J Am Stat Assoc , vol.88 , pp. 1034-1043
    • Genest, C.1    Rivest, L.P.2
  • 13
    • 33746255727 scopus 로고    scopus 로고
    • Asymmetric copula in multivariate flood frequency analysis
    • Grimaldi S. Serinaldi F. Asymmetric copula in multivariate flood frequency analysis. Adv Water Resour 2006, 29, (8), 1115 1167.
    • (2006) Adv Water Resour , vol.29 , Issue.8 , pp. 1115-1167
    • Grimaldi, S.1    Serinaldi, F.2
  • 14
    • 0000555058 scopus 로고
    • A plotting rule of extreme probability paper
    • Gringorten I.I. A plotting rule of extreme probability paper. J Geophys Res 1963, 68, (3), 813 814.
    • (1963) J Geophys Res , vol.68 , Issue.3 , pp. 813-814
    • Gringorten, I.I.1
  • 15
    • 0001546666 scopus 로고
    • Maszstabinvariante Korrelationstheorie
    • Hoeffding W. Maszstabinvariante Korrelationstheorie. Schr Math Angew Math Univ Berlin 1940, 5, (3), 181 233.
    • (1940) Schr Math Angew Math Univ Berlin , vol.5 , Issue.3 , pp. 181-233
    • Hoeffding, W.1
  • 17
    • 68949202001 scopus 로고    scopus 로고
    • Bivariate flood frequency analysis. Part 1: Determination of marginals by parametric and nonparametric techniques
    • DOI: 10.1111/j.1753-318X.2008.00022.x
    • Karmakar S. Simonovic S.P. Bivariate flood frequency analysis. Part 1: determination of marginals by parametric and nonparametric techniques. J Flood Risk Manag 2008, 1, 190 200, DOI :10.1111/j.1753-318X.2008.00022.x.
    • (2008) J Flood Risk Manag , vol.1 , pp. 190-200
    • Karmakar, S.1    Simonovic, S.P.2
  • 18
    • 84983732192 scopus 로고
    • A multivariate stochastic flood analysis using entropy
    • In. V.P. Singh. ed. Dordrecht, the Netherlands. Reidel
    • Krstanovic P.F. Singh V.P. A multivariate stochastic flood analysis using entropy. In : V.P. Singh, ed. Hydrologic frequency modeling. Dordrecht, the Netherlands : Reidel, 1987, 515 539.
    • (1987) Hydrologic Frequency Modeling. , pp. 515-539
    • Krstanovic, P.F.1    Singh, V.P.2
  • 21
    • 21444431713 scopus 로고    scopus 로고
    • Goodness-of-fit test for copulas
    • Panchenko V. Goodness-of-fit test for copulas. Phys A 2005, 355, 176 182.
    • (2005) Phys A , vol.355 , pp. 176-182
    • Panchenko, V.1
  • 22
    • 34347377155 scopus 로고    scopus 로고
    • Importance of tail dependence in bivariate frequency analysis
    • Poulin A., Huard D., Favre A.C. Pugin S. Importance of tail dependence in bivariate frequency analysis. J Hydrol Eng ASCE 2007, 12, (4), 394 403.
    • (2007) J Hydrol Eng ASCE , vol.12 , Issue.4 , pp. 394-403
    • Poulin, A.1    Huard, D.2    Favre, A.C.3    Pugin, S.4
  • 23
    • 0002990581 scopus 로고
    • A bivariate flood model and its application
    • In. V.P. Singh. ed. Dordrecht, the Netherlands. Dreidel
    • Sackl B. Bergmann H. A bivariate flood model and its application. In : V.P. Singh, ed. Hydrologic frequency modeling. Dordrecht, the Netherlands : Dreidel, 1987, 571 582.
    • (1987) Hydrologic Frequency Modeling. , pp. 571-582
    • Sackl, B.1    Bergmann, H.2
  • 24
    • 33644782914 scopus 로고    scopus 로고
    • Bivariate return periods via 2-copulas
    • Salvadori G. Bivariate return periods via 2-copulas. Stat Methodol 2004, 1, 129 144.
    • (2004) Stat Methodol , vol.1 , pp. 129-144
    • Salvadori, G.1
  • 25
    • 12544258027 scopus 로고    scopus 로고
    • Frequency analysis via copulas: Theoretical aspects and applications to hydrological events
    • doi:.
    • Salvadori G. De Michele C. Frequency analysis via copulas: theoretical aspects and applications to hydrological events. Water Resour Res 2004, 40, W12511, doi :.
    • (2004) Water Resour Res , vol.40 , pp. 12511
    • Salvadori, G.1    De Michele, C.2
  • 26
    • 34347386853 scopus 로고    scopus 로고
    • On the use of copulas in hydrology: Theory and practice
    • Salvadori G. De Michele C. On the use of copulas in hydrology: theory and practice. J Hydrol Eng ASCE 2007, 12, (4), 369 380.
    • (2007) J Hydrol Eng ASCE , vol.12 , Issue.4 , pp. 369-380
    • Salvadori, G.1    De Michele, C.2
  • 28
    • 0000818486 scopus 로고
    • Estimation of probability density by an orthogonal series
    • Schwartz S.C. Estimation of probability density by an orthogonal series. Ann Math Stat 1967, 38, 1261 1265.
    • (1967) Ann Math Stat , vol.38 , pp. 1261-1265
    • Schwartz, S.C.1
  • 29
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz G. Estimating the dimension of a model. Ann Stat 1978, 6, (2), 461 464.
    • (1978) Ann Stat , vol.6 , Issue.2 , pp. 461-464
    • Schwarz, G.1
  • 30
    • 34347387752 scopus 로고    scopus 로고
    • Fully nested 3-copula: Procedure and application on hydrological data
    • Serinaldi F. Grimaldi S. Fully nested 3-copula: procedure and application on hydrological data. J Hydrol Eng ASCE 2007, 12, (4), 420 430.
    • (2007) J Hydrol Eng ASCE , vol.12 , Issue.4 , pp. 420-430
    • Serinaldi, F.1    Grimaldi, S.2
  • 31
    • 68949200632 scopus 로고    scopus 로고
    • A 3-copula function application to flood frequency analysis. Proceedings of IASTED International Conference on Environmental Modelling and Simulation, St. Thomas, Virgin Islands
    • Serinaldi F., Grimaldi S., Napolitano F. Ubertini L. A 3-copula function application to flood frequency analysis. Proceedings of IASTED International Conference on Environmental Modelling and Simulation, St. Thomas, Virgin Islands, 2004, 202 206.
    • (2004) , pp. 202-206
    • Serinaldi, F.1    Grimaldi, S.2    Napolitano, F.3    Ubertini, L.4
  • 32
    • 0001903621 scopus 로고
    • Derivation of bivariate probability density functions with exponential marginals
    • Singh K. Singh V.P. Derivation of bivariate probability density functions with exponential marginals. Stochastic Hydrol Hydraul 1991, 5, 55 68.
    • (1991) Stochastic Hydrol Hydraul , vol.5 , pp. 55-68
    • Singh, K.1    Singh, V.P.2
  • 33
    • 0000795592 scopus 로고
    • Publications de L'Institute de Statistique, Universite' de Paris. Paris
    • Sklar A. Fonction de re'partition a' n dimensions et leurs marges, 8, Publications de L'Institute de Statistique, Universite' de Paris, Paris, 1959, 229 231.
    • (1959) Fonction de re'Partition a' N Dimensions et Leurs Marges , vol.8 , pp. 229-231
    • Sklar, A.1
  • 34
    • 0002965815 scopus 로고
    • The proof and measurement of association between two things
    • Spearman C. The proof and measurement of association between two things. Am J Psychol 1904, 15, 72 101.
    • (1904) Am J Psychol , vol.15 , pp. 72-101
    • Spearman, C.1
  • 35
    • 0034298244 scopus 로고    scopus 로고
    • The bivariate lognormal distribution to model a multivariate flood episode
    • Yue S. The bivariate lognormal distribution to model a multivariate flood episode. Hydrol Process 2000, 14, (14), 2575 2588.
    • (2000) Hydrol Process , vol.14 , Issue.14 , pp. 2575-2588
    • Yue, S.1
  • 36
    • 0035971648 scopus 로고    scopus 로고
    • A bivariate gamma distribution for use in multivariate flood frequency analysis
    • DOI 10.1002/hyp.259
    • Yue S. A bivariate gamma distribution for use in multivariate flood frequency analysis. Hydrol Process 2001, 15, (6), 1033 1045. (Pubitemid 32418361)
    • (2001) Hydrological Processes , vol.15 , Issue.6 , pp. 1033-1045
    • Yue, S.1
  • 37
  • 38
    • 0037108694 scopus 로고    scopus 로고
    • Bivariate frequency analysis: Discussion of some useful concepts in hydrological application
    • Yue S. Rasmussen P. Bivariate frequency analysis: discussion of some useful concepts in hydrological application. Hydrol Process 2002, 16, (14), 2881 2898.
    • (2002) Hydrol Process , vol.16 , Issue.14 , pp. 2881-2898
    • Yue, S.1    Rasmussen, P.2
  • 39
    • 33144488602 scopus 로고    scopus 로고
    • Bivariate flood frequency analysis using the copula method
    • Zhang L. Singh V.P. Bivariate flood frequency analysis using the copula method. J Hydrol Eng ASCE 2006, 11, (2), 150 164.
    • (2006) J Hydrol Eng ASCE , vol.11 , Issue.2 , pp. 150-164
    • Zhang, L.1    Singh, V.P.2
  • 40
    • 34347401002 scopus 로고    scopus 로고
    • Trivariate flood frequency analysis using the Gumbel-Hougaard copula
    • DOI 10.1061/(ASCE)1084-0699(2007)12:4(431), Copulas in Hydrology
    • Zhang L. Singh V.P. Trivariate flood frequency analysis using the Gumbel-Hougaard copula. J Hydrol Eng ASCE 2007, 12, (4), 431 439. (Pubitemid 47023289)
    • (2007) Journal of Hydrologic Engineering , vol.12 , Issue.4 , pp. 431-439
    • Zhang, L.1    Singh, V.P.2


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