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Volumn 27, Issue 8, 2013, Pages 1175-1190

Multivariate drought characteristics using trivariate Gaussian and Student t copulas

Author keywords

Copulas; Droughts; Goodness of fit; Joint probabilities; Kendall's return period (KRP); Multivariate characteristics

Indexed keywords

COPULAS; GOODNESS OF FIT; JOINT PROBABILITY; MULTIVARIATE CHARACTERISTICS; RETURN PERIODS;

EID: 84875663952     PISSN: 08856087     EISSN: 10991085     Source Type: Journal    
DOI: 10.1002/hyp.8432     Document Type: Article
Times cited : (125)

References (87)
  • 2
    • 0022264614 scopus 로고
    • Nonparametric kernel estimation of flood frequencies
    • Adamowski K. 1985. Nonparametric kernel estimation of flood frequencies. Water Resources Research 21(11): 1585-1590.
    • (1985) Water Resources Research , vol.21 , Issue.11 , pp. 1585-1590
    • Adamowski, K.1
  • 3
    • 77953137410 scopus 로고    scopus 로고
    • Copula-based uncertainty modelling: application to multisensor precipitation estimates
    • AghaKouchak A, Bárdossy A, Habib E. 2010a. Copula-based uncertainty modelling: application to multisensor precipitation estimates. Hydrological Processes 24: 2111-2124.
    • (2010) Hydrological Processes , vol.24 , pp. 2111-2124
    • AghaKouchak, A.1    Bárdossy, A.2    Habib, E.3
  • 4
    • 77953127937 scopus 로고    scopus 로고
    • Conditional simulation of remotely sensed rainfall data using a non-Gaussian v-transformed copula
    • AghaKouchak A, Bárdossy A, Habib E. 2010b. Conditional simulation of remotely sensed rainfall data using a non-Gaussian v-transformed copula. Advances in Water Resources 33: 624-634.
    • (2010) Advances in Water Resources , vol.33 , pp. 624-634
    • AghaKouchak, A.1    Bárdossy, A.2    Habib, E.3
  • 5
    • 78149285104 scopus 로고    scopus 로고
    • A comparison of three remotely sensed rainfall ensemble generators
    • AghaKouchak A, Habib E, Bárdossy A. 2010c. A comparison of three remotely sensed rainfall ensemble generators. Atmospheric Research 98: 387-399.
    • (2010) Atmospheric Research , vol.98 , pp. 387-399
    • AghaKouchak, A.1    Habib, E.2    Bárdossy, A.3
  • 6
    • 0028184207 scopus 로고
    • Bivariate exponential model applied to intensities and durations of extreme rainfall
    • Bacchi B, Becciu G, Kottegoda NT. 1994. Bivariate exponential model applied to intensities and durations of extreme rainfall. Journal of Hydrology 155: 225-236.
    • (1994) Journal of Hydrology , vol.155 , pp. 225-236
    • Bacchi, B.1    Becciu, G.2    Kottegoda, N.T.3
  • 7
    • 84875660510 scopus 로고    scopus 로고
    • Modelling the statistical dependence of rainfall event variables by a trivariate copula function
    • Balistrocchi M, Bacchi B. 2011. Modelling the statistical dependence of rainfall event variables by a trivariate copula function. Hydrology and Earth System Sciences Discussions 8: 429-481.
    • (2011) Hydrology and Earth System Sciences Discussions , vol.8 , pp. 429-481
    • Balistrocchi, M.1    Bacchi, B.2
  • 9
    • 1642346381 scopus 로고    scopus 로고
    • Drought length properties for periodic-stochastic hydrologic data
    • DOI: 10.1029/2002WR001750
    • Cancelliere A, Salas JD. 2004. Drought length properties for periodic-stochastic hydrologic data. Water Resources Research 40: W02503. DOI: 10.1029/2002WR001750.
    • (2004) Water Resources Research , vol.40
    • Cancelliere, A.1    Salas, J.D.2
  • 10
    • 79955749010 scopus 로고    scopus 로고
    • Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data
    • Chowdhary H, Escobar LA, Singh VP. 2011. Identification of suitable copulas for bivariate frequency analysis of flood peak and flood volume data. Hydrology Research 42(2-3): 193-216.
    • (2011) Hydrology Research , vol.42 , Issue.2-3 , pp. 193-216
    • Chowdhary, H.1    Escobar, L.A.2    Singh, V.P.3
  • 11
    • 78649343018 scopus 로고    scopus 로고
    • Reducing uncertainty in estimates of frequency distribution parameters using composite likelihood approach and copula-based bivariate distributions
    • DOI: 10.1029/2009WR008490
    • Chowdhary H, Singh VP. 2010. Reducing uncertainty in estimates of frequency distribution parameters using composite likelihood approach and copula-based bivariate distributions. Water Resources Research 46: W11516. DOI: 10.1029/2009WR008490.
    • (2010) Water Resources Research , vol.46
    • Chowdhary, H.1    Singh, V.P.2
  • 12
    • 0034235521 scopus 로고    scopus 로고
    • Drought occurrence probabilities and risks of dependent hydrologic processes
    • Chung CH, Salas JD. 2000. Drought occurrence probabilities and risks of dependent hydrologic processes. Journal of Hydrologic Engineering 5(3): 259-268.
    • (2000) Journal of Hydrologic Engineering , vol.5 , Issue.3 , pp. 259-268
    • Chung, C.H.1    Salas, J.D.2
  • 13
    • 0347269107 scopus 로고    scopus 로고
    • A generalized Pareto intensity-duration model of storm rainfall exploiting 2-copulas
    • DOI: 10.1029/2002JD002534
    • De Michele C, Salvadori G. 2003. A generalized Pareto intensity-duration model of storm rainfall exploiting 2-copulas. Journal of Geophysical Research 108(D2): 4067. DOI: 10.1029/2002JD002534.
    • (2003) Journal of Geophysical Research , vol.108 , Issue.D2 , pp. 4067
    • De Michele, C.1    Salvadori, G.2
  • 16
    • 34147134549 scopus 로고    scopus 로고
    • A goodness of fit test for copulas based on Rosenblatt's transformation
    • Dobrić J, Schmid F. 2007. A goodness of fit test for copulas based on Rosenblatt's transformation. Computational Statistics and Data Analysis 51: 4633-4642.
    • (2007) Computational Statistics and Data Analysis , vol.51 , pp. 4633-4642
    • Dobrić, J.1    Schmid, F.2
  • 17
    • 43049093718 scopus 로고    scopus 로고
    • A new rainfall model based on the Neyman-Scott process using cubic copulas
    • DOI: 10.1029/2007WR006054
    • Evin G, Favre AC. 2008. A new rainfall model based on the Neyman-Scott process using cubic copulas. Water Resources Research 44: W03433. DOI: 10.1029/2007WR006054.
    • (2008) Water Resources Research , vol.44
    • Evin, G.1    Favre, A.C.2
  • 20
    • 0342948591 scopus 로고    scopus 로고
    • Return period and risk of hydrologic events. I: Mathematical formulations
    • Fernández B, Salas JD. 1999. Return period and risk of hydrologic events. I: Mathematical formulations. Journal of Hydrologic Engineering 4(4): 297-307.
    • (1999) Journal of Hydrologic Engineering , vol.4 , Issue.4 , pp. 297-307
    • Fernández, B.1    Salas, J.D.2
  • 21
    • 0040417132 scopus 로고
    • Chi-plots for assessing dependence
    • Fisher NI, Switzer P. 1985. Chi-plots for assessing dependence. Biometrika 72(2): 253-265.
    • (1985) Biometrika , vol.72 , Issue.2 , pp. 253-265
    • Fisher, N.I.1    Switzer, P.2
  • 22
    • 0035639815 scopus 로고    scopus 로고
    • Graphical assessment of dependence: Is a picture worth 100 tests?
    • Fisher NI, Switzer P. 2001. Graphical assessment of dependence: Is a picture worth 100 tests? The American Statistician 55(3): 233-239.
    • (2001) The American Statistician , vol.55 , Issue.3 , pp. 233-239
    • Fisher, N.I.1    Switzer, P.2
  • 25
    • 34347377353 scopus 로고    scopus 로고
    • Everything you always wanted to know about copula modeling but were afraid to ask
    • Genest C, Favre AC. 2007. Everything you always wanted to know about copula modeling but were afraid to ask. Journal of Hydrologic Engineering 12(4): 347-368.
    • (2007) Journal of Hydrologic Engineering , vol.12 , Issue.4 , pp. 347-368
    • Genest, C.1    Favre, A.C.2
  • 26
    • 35848967004 scopus 로고    scopus 로고
    • Meta-elliptical copulas and their use in frequency analysis of multivariate hydrological data
    • DOI: 10.1029/2006WR005275
    • Genest C, Favre AC, Béliveau J, Jacques C. 2007a. Meta-elliptical copulas and their use in frequency analysis of multivariate hydrological data. Water Resources Research 43: W09401. DOI: 10.1029/2006WR005275.
    • (2007) Water Resources Research , vol.43
    • Genest, C.1    Favre, A.C.2    Béliveau, J.3    Jacques, C.4
  • 29
    • 18144448895 scopus 로고    scopus 로고
    • Bivariate drought recurrence analysis using tree ring reconstructions
    • González J, Valdés JB. 2003. Bivariate drought recurrence analysis using tree ring reconstructions. Journal of Hydrologic Engineering 8(5): 247-258.
    • (2003) Journal of Hydrologic Engineering , vol.8 , Issue.5 , pp. 247-258
    • González, J.1    Valdés, J.B.2
  • 30
    • 33746255727 scopus 로고    scopus 로고
    • Asymmetric copula in multivariate flood frequency analysis
    • Grimaldi S, Serinaldi F. 2006. Asymmetric copula in multivariate flood frequency analysis. Advances in Water Resources 29: 1155-1167.
    • (2006) Advances in Water Resources , vol.29 , pp. 1155-1167
    • Grimaldi, S.1    Serinaldi, F.2
  • 31
    • 0000555058 scopus 로고
    • A plotting rule of extreme probability paper
    • Gringorten II. 1963. A plotting rule of extreme probability paper. Journal of Geophysical Research 68(3): 813-814.
    • (1963) Journal of Geophysical Research , vol.68 , Issue.3 , pp. 813-814
    • Gringorten, I.I.1
  • 32
    • 10744224750 scopus 로고    scopus 로고
    • Fitting bivariate cumulative returns with copulas
    • Hürlimann W. 2004. Fitting bivariate cumulative returns with copulas. Computational Statistics and Data Analysis 45(2): 355-372.
    • (2004) Computational Statistics and Data Analysis , vol.45 , Issue.2 , pp. 355-372
    • Hürlimann, W.1
  • 33
    • 34547179375 scopus 로고    scopus 로고
    • Probabilistic structure of storm surface runoff considering the dependence between average intensity and storm duration of rainfall events
    • DOI: 10.1029/2006WR005564
    • Kao SC, Govindaraju RS. 2007a. Probabilistic structure of storm surface runoff considering the dependence between average intensity and storm duration of rainfall events. Water Resources Research 43: W06410. DOI: 10.1029/2006WR005564.
    • (2007) Water Resources Research , vol.43
    • Kao, S.C.1    Govindaraju, R.S.2
  • 34
    • 34548645057 scopus 로고    scopus 로고
    • A bivariate rainfall frequency analysis of extreme rainfall with implications for design
    • DOI: 10.1029/2007JD008522
    • Kao SC, Govindaraju RS. 2007b. A bivariate rainfall frequency analysis of extreme rainfall with implications for design. Journal of Geophysical Research 112: D13119. DOI: 10.1029/2007JD008522.
    • (2007) Journal of Geophysical Research , vol.112
    • Kao, S.C.1    Govindaraju, R.S.2
  • 35
    • 41149133233 scopus 로고    scopus 로고
    • Trivariate statistical analysis of extreme rainfall events via the Plackett family of copulas
    • DOI: 10.1029/2007WR006261
    • Kao SC, Govindaraju RS. 2008. Trivariate statistical analysis of extreme rainfall events via the Plackett family of copulas. Water Resources Research 44(2): W02415. DOI: 10.1029/2007WR006261.
    • (2008) Water Resources Research , vol.44 , Issue.2
    • Kao, S.C.1    Govindaraju, R.S.2
  • 37
    • 0141563564 scopus 로고    scopus 로고
    • Nonparametric approach for estimating return periods of droughts in arid regions
    • Kim TW, Valdés JB, Yoo C. 2003. Nonparametric approach for estimating return periods of droughts in arid regions. Journal of Hydrologic Engineering 8(5): 237-246.
    • (2003) Journal of Hydrologic Engineering , vol.8 , Issue.5 , pp. 237-246
    • Kim, T.W.1    Valdés, J.B.2    Yoo, C.3
  • 38
    • 33144461497 scopus 로고    scopus 로고
    • Nonparametric approach for bivariate drought characterization using palmer drought index
    • Kim TW, Valdés JB, Yoo C. 2006. Nonparametric approach for bivariate drought characterization using palmer drought index. Journal of Hydrologic Engineering 11(2): 134-143.
    • (2006) Journal of Hydrologic Engineering , vol.11 , Issue.2 , pp. 134-143
    • Kim, T.W.1    Valdés, J.B.2    Yoo, C.3
  • 39
    • 0000651898 scopus 로고    scopus 로고
    • Fitting bivariate loss distributions with copulas
    • Klugman SA, Parsa R. 1999. Fitting bivariate loss distributions with copulas. Insurance: Mathematics and Economics 24(1-2): 139-148.
    • (1999) Insurance: Mathematics and Economics , vol.24 , Issue.1-2 , pp. 139-148
    • Klugman, S.A.1    Parsa, R.2
  • 41
    • 79960775081 scopus 로고    scopus 로고
    • Copula-based stochastic simulation of hydrological data applied to Nile River flows
    • Lee T, Salas JD. 2011. Copula-based stochastic simulation of hydrological data applied to Nile River flows. Hydrology Research 42(4): 318-330.
    • (2011) Hydrology Research , vol.42 , Issue.4 , pp. 318-330
    • Lee, T.1    Salas, J.D.2
  • 42
    • 14944340197 scopus 로고    scopus 로고
    • On the probability of droughts: the compound renewal model
    • DOI: 10.1029/2004WR003075
    • Loáiciga HA. 2005. On the probability of droughts: the compound renewal model. Water Resources Research 41: W01009. DOI: 10.1029/2004WR003075.
    • (2005) Water Resources Research , vol.41
    • Loáiciga, H.A.1
  • 45
    • 33746228107 scopus 로고    scopus 로고
    • Fisher information for the elliptically symmetric Pearson distributions
    • Nadarajah S. 2006. Fisher information for the elliptically symmetric Pearson distributions. Applied Mathematics and Computation 178: 195-206.
    • (2006) Applied Mathematics and Computation , vol.178 , pp. 195-206
    • Nadarajah, S.1
  • 46
    • 34848914815 scopus 로고    scopus 로고
    • A bivariate gamma model for drought
    • DOI: 10.1029/2006WR005641
    • Nadarajah S. 2007. A bivariate gamma model for drought. Water Resources Research 43: W08501. DOI: 10.1029/2006WR005641.
    • (2007) Water Resources Research , vol.43
    • Nadarajah, S.1
  • 47
    • 23844517067 scopus 로고    scopus 로고
    • Information matrices for some elliptically symmetric distribution
    • Nadarajah S, Kotz S. 2005. Information matrices for some elliptically symmetric distribution. SORT 29(1): 43-56.
    • (2005) SORT , vol.29 , Issue.1 , pp. 43-56
    • Nadarajah, S.1    Kotz, S.2
  • 48
    • 21444431713 scopus 로고    scopus 로고
    • Goodness-of-fit test for copulas
    • Panchenko V. 2005. Goodness-of-fit test for copulas. Physica A 355: 176-182.
    • (2005) Physica A , vol.355 , pp. 176-182
    • Panchenko, V.1
  • 50
    • 84861228805 scopus 로고    scopus 로고
    • Application of copulas for derivation of drought severity-duration-frequency curves
    • DOI: 10.1002/hyp.8287
    • Reddy MJ, Ganguli P. 2011. Application of copulas for derivation of drought severity-duration-frequency curves. Hydrological Processes. DOI: 10.1002/hyp.8287
    • (2011) Hydrological Processes
    • Reddy, M.J.1    Ganguli, P.2
  • 51
    • 33847237299 scopus 로고    scopus 로고
    • Use of a Gaussian copula for multivariate extreme value analysis: some case studies in hydrology
    • Renard B, Lang M. 2007. Use of a Gaussian copula for multivariate extreme value analysis: some case studies in hydrology. Advances in Water Resources 30: 897-912.
    • (2007) Advances in Water Resources , vol.30 , pp. 897-912
    • Renard, B.1    Lang, M.2
  • 52
  • 54
    • 2542418932 scopus 로고    scopus 로고
    • Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals
    • DOI: 10.1029/2003GL018767
    • Salvadori G, De Michele C. 2004a. Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals. Geophysical Resources Letters 31: L04502. DOI: 10.1029/2003GL018767.
    • (2004) Geophysical Resources Letters , vol.31
    • Salvadori, G.1    De Michele, C.2
  • 55
    • 12544258027 scopus 로고    scopus 로고
    • Frequency analysis via copulas: Theoretical aspects and applications to hydrological events
    • DOI: 10.1029/2004WR003133
    • Salvadori G, De Michele C. 2004b. Frequency analysis via copulas: Theoretical aspects and applications to hydrological events. Water Resources Research 40: W12511. DOI: 10.1029/2004WR003133.
    • (2004) Water Resources Research , vol.40
    • Salvadori, G.1    De Michele, C.2
  • 56
    • 33645843059 scopus 로고    scopus 로고
    • Statistical characterization of temporal structure of storms
    • Salvadori G, De Michele C. 2006. Statistical characterization of temporal structure of storms. Advances in Water Resources 29(6): 827-842.
    • (2006) Advances in Water Resources , vol.29 , Issue.6 , pp. 827-842
    • Salvadori, G.1    De Michele, C.2
  • 57
    • 34347386853 scopus 로고    scopus 로고
    • On the use of copulas in hydrology: theory and practice
    • Salvadori G, De Michele C. 2007. On the use of copulas in hydrology: theory and practice. Journal of Hydrologic Engineering 12(4): 369-380.
    • (2007) Journal of Hydrologic Engineering , vol.12 , Issue.4 , pp. 369-380
    • Salvadori, G.1    De Michele, C.2
  • 58
    • 77957736207 scopus 로고    scopus 로고
    • Multivariate multiparameter extreme value models and return periods: A copula approach
    • DOI: 10.1029/2009WR009040
    • Salvadori G, De Michele C. 2010. Multivariate multiparameter extreme value models and return periods: A copula approach. Water Resources Research 46: W10501. DOI: 10.1029/2009WR009040.
    • (2010) Water Resources Research , vol.46
    • Salvadori, G.1    De Michele, C.2
  • 59
    • 78751500688 scopus 로고    scopus 로고
    • Estimating strategies for multiparameter Multivariate Extreme Value copulas
    • Salvadori G, De Michele C. 2011. Estimating strategies for multiparameter Multivariate Extreme Value copulas. Hydrology and Earth System Sciences 15: 141-150.
    • (2011) Hydrology and Earth System Sciences , vol.15 , pp. 141-150
    • Salvadori, G.1    De Michele, C.2
  • 62
    • 34347387752 scopus 로고    scopus 로고
    • Fully nested 3-copula: procedure and application on hydrological data
    • Serinaldi F, Grimaldi S. 2007. Fully nested 3-copula: procedure and application on hydrological data. Journal of Hydrologic Engineering 12(4): 420-430.
    • (2007) Journal of Hydrologic Engineering , vol.12 , Issue.4 , pp. 420-430
    • Serinaldi, F.1    Grimaldi, S.2
  • 64
    • 33747607479 scopus 로고    scopus 로고
    • Fitting drought duration and severity with two-dimensional copulas
    • Shiau JT. 2006. Fitting drought duration and severity with two-dimensional copulas. Water Resources Management 20: 795-815.
    • (2006) Water Resources Management , vol.20 , pp. 795-815
    • Shiau, J.T.1
  • 65
    • 34547740650 scopus 로고    scopus 로고
    • Assessment of hydrological droughts for the Yellow River, China, using copulas
    • Shiau JT, Feng S, Nadarajah S. 2007. Assessment of hydrological droughts for the Yellow River, China, using copulas. Hydrological Processes 21(16): 2157-2163.
    • (2007) Hydrological Processes , vol.21 , Issue.16 , pp. 2157-2163
    • Shiau, J.T.1    Feng, S.2    Nadarajah, S.3
  • 66
    • 70749121740 scopus 로고    scopus 로고
    • Copula-based drought severity-duration-frequency analysis in Iran
    • Shiau JT, Modarres R. 2009. Copula-based drought severity-duration-frequency analysis in Iran. Meteorological Applications 16: 481-489.
    • (2009) Meteorological Applications , vol.16 , pp. 481-489
    • Shiau, J.T.1    Modarres, R.2
  • 69
    • 0001903621 scopus 로고
    • Derivation of bivariate probability density functions with exponential marginals
    • Singh K, Singh VP. 1991. Derivation of bivariate probability density functions with exponential marginals. Stochastic Hydrology and Hydraulics 5(1): 55-68.
    • (1991) Stochastic Hydrology and Hydraulics , vol.5 , Issue.1 , pp. 55-68
    • Singh, K.1    Singh, V.P.2
  • 71
    • 77955058454 scopus 로고    scopus 로고
    • Meta-elliptical copulas for drought frequency analysis of periodic hydrologic data
    • Song S, Singh VP. 2010a. Meta-elliptical copulas for drought frequency analysis of periodic hydrologic data. Stochastic Environmental Research and Risk Assessment 24(3): 425-444.
    • (2010) Stochastic Environmental Research and Risk Assessment , vol.24 , Issue.3 , pp. 425-444
    • Song, S.1    Singh, V.P.2
  • 72
    • 77955050386 scopus 로고    scopus 로고
    • Frequency analysis of droughts using the Plackett copula and parameter estimation by genetic algorithm
    • Song S, Singh VP. 2010b. Frequency analysis of droughts using the Plackett copula and parameter estimation by genetic algorithm. Stochastic Environmental Research and Risk Assessment 24(5): 783-805.
    • (2010) Stochastic Environmental Research and Risk Assessment , vol.24 , Issue.5 , pp. 783-805
    • Song, S.1    Singh, V.P.2
  • 73
    • 55649123897 scopus 로고    scopus 로고
    • Modeling radar-rainfall estimation uncertainties using parametric and nonparametric approaches
    • Villarini F, Serinaldi G, Krajewski WF. 2008. Modeling radar-rainfall estimation uncertainties using parametric and nonparametric approaches. Advances in Water Resources 31(2): 1674-1686.
    • (2008) Advances in Water Resources , vol.31 , Issue.2 , pp. 1674-1686
    • Villarini, F.1    Serinaldi, G.2    Krajewski, W.F.3
  • 74
    • 77955277285 scopus 로고    scopus 로고
    • Weighted likelihood copula modeling of extreme rainfall events in Connecticut
    • Wang X, Gebremichael M, Yan J. 2010. Weighted likelihood copula modeling of extreme rainfall events in Connecticut. Journal of Hydrology 390: 108-115.
    • (2010) Journal of Hydrology , vol.390 , pp. 108-115
    • Wang, X.1    Gebremichael, M.2    Yan, J.3
  • 76
    • 84911185054 scopus 로고    scopus 로고
    • Trivariate copulas for characterisation of droughts
    • Wong G, Lambert MF, Metcalfe AV. 2008. Trivariate copulas for characterisation of droughts. ANZIAM Journal 49: C306-C323.
    • (2008) ANZIAM Journal , vol.49
    • Wong, G.1    Lambert, M.F.2    Metcalfe, A.V.3
  • 77
    • 84875676455 scopus 로고
    • An Objective Approach to Definitions and Investigations of Continental Hydrologic Droughts. Hydrologic Paper No.23, Colorado State University, Fort Collins
    • Yevjevich V. 1967. An Objective Approach to Definitions and Investigations of Continental Hydrologic Droughts. Hydrologic Paper No.23, Colorado State University, Fort Collins.
    • (1967)
    • Yevjevich, V.1
  • 78
    • 0000302564 scopus 로고    scopus 로고
    • Applying bivariate normal distribution to flood frequency analysis
    • Yue S. 1999. Applying bivariate normal distribution to flood frequency analysis. Water International 24(3): 248-254.
    • (1999) Water International , vol.24 , Issue.3 , pp. 248-254
    • Yue, S.1
  • 79
    • 0035371278 scopus 로고    scopus 로고
    • A review of bivariate gamma distributions for hydrological application
    • Yue S, Ouarda TBMJ, Bobée B. 2001. A review of bivariate gamma distributions for hydrological application. Journal of Hydrology 246: 1-18.
    • (2001) Journal of Hydrology , vol.246 , pp. 1-18
    • Yue, S.1    Ouarda, T.B.M.J.2    Bobée, B.3
  • 82
    • 33144488602 scopus 로고    scopus 로고
    • Bivariate flood frequency analysis using the copula method
    • Zhang L, Singh VP. 2006. Bivariate flood frequency analysis using the copula method. Journal of Hydrologic Engineering 11(2): 150-164.
    • (2006) Journal of Hydrologic Engineering , vol.11 , Issue.2 , pp. 150-164
    • Zhang, L.1    Singh, V.P.2
  • 83
    • 33845564762 scopus 로고    scopus 로고
    • Bivariate rainfall frequency distributions using Archimedean copulas
    • Zhang L, Singh VP. 2007a. Bivariate rainfall frequency distributions using Archimedean copulas. Journal of Hydrology 332(1-2): 93-109.
    • (2007) Journal of Hydrology , vol.332 , Issue.1-2 , pp. 93-109
    • Zhang, L.1    Singh, V.P.2
  • 84
    • 34347395738 scopus 로고    scopus 로고
    • Gumbel-Hougaard copula for trivariate rainfall frequency analysis
    • Zhang L, Singh VP. 2007b. Gumbel-Hougaard copula for trivariate rainfall frequency analysis. Journal of Hydrologic Engineering 12(4): 409-419.
    • (2007) Journal of Hydrologic Engineering , vol.12 , Issue.4 , pp. 409-419
    • Zhang, L.1    Singh, V.P.2
  • 85
    • 34347401002 scopus 로고    scopus 로고
    • Trivariate flood frequency analysis using the Gumbel-Hougaard copula
    • Zhang L, Singh VP. 2007c. Trivariate flood frequency analysis using the Gumbel-Hougaard copula. Journal of Hydrologic Engineering 12(4): 431-439.
    • (2007) Journal of Hydrologic Engineering , vol.12 , Issue.4 , pp. 431-439
    • Zhang, L.1    Singh, V.P.2
  • 86
    • 79960147230 scopus 로고    scopus 로고
    • Copula-based analysis of hydrological extremes and implications of hydrological behaviors in the Pearl River basin, China
    • Zhang Q, Chen YD, Chen X, Li J. 2011a. Copula-based analysis of hydrological extremes and implications of hydrological behaviors in the Pearl River basin, China. Journal of Hydrologic Engineering 16(7): 598-607.
    • (2011) Journal of Hydrologic Engineering , vol.16 , Issue.7 , pp. 598-607
    • Zhang, Q.1    Chen, Y.D.2    Chen, X.3    Li, J.4
  • 87
    • 84855591030 scopus 로고    scopus 로고
    • Application of Archimedean Copulas in the analysis of the precipitation extremes: effects of precipitation changes
    • DOI: 10.1007/s00704-011-0476-y
    • Zhang Q, Li J, Singh VP. 2011b. Application of Archimedean Copulas in the analysis of the precipitation extremes: effects of precipitation changes. Theoretical and Applied Climatology. DOI: 10.1007/s00704-011-0476-y.
    • (2011) Theoretical and Applied Climatology
    • Zhang, Q.1    Li, J.2    Singh, V.P.3


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