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Volumn 53, Issue 6, 2017, Pages 5166-5183

Multivariate Copula Analysis Toolbox (MvCAT): Describing dependence and underlying uncertainty using a Bayesian framework

Author keywords

copula; dependence analysis; drought; flood frequency; MCMC; uncertainty analysis

Indexed keywords

DROUGHT; FLOODS; MARKOV PROCESSES; MULTIVARIANT ANALYSIS; PARAMETER ESTIMATION;

EID: 85020553364     PISSN: 00431397     EISSN: 19447973     Source Type: Journal    
DOI: 10.1002/2016WR020242     Document Type: Article
Times cited : (270)

References (105)
  • 1
    • 84915746695 scopus 로고    scopus 로고
    • Entropy–copula in hydrology and climatology
    • AghaKouchak, A. (2014), Entropy–copula in hydrology and climatology, J. Hydrometeorol., 15(6), 2176–2189.
    • (2014) J. Hydrometeorol. , vol.15 , Issue.6 , pp. 2176-2189
    • AghaKouchak, A.1
  • 2
    • 84936349681 scopus 로고    scopus 로고
    • A multivariate approach for persistence-based drought prediction: Application to the 2010–2011 East Africa drought
    • AghaKouchak, A. (2015), A multivariate approach for persistence-based drought prediction: Application to the 2010–2011 East Africa drought, J. Hydrol., 526, 127–135.
    • (2015) J. Hydrol. , vol.526 , pp. 127-135
    • AghaKouchak, A.1
  • 3
    • 84921877209 scopus 로고    scopus 로고
    • Global warming and changes in risk of concurrent climate extremes: Insights from the 2014 California drought
    • AghaKouchak, A., L. Cheng, O. Mazdiyasni, and A. Farahmand (2014), Global warming and changes in risk of concurrent climate extremes: Insights from the 2014 California drought, Geophys. Res. Lett., 41, 8847–8852, doi:10.1002/2014GL062308.
    • (2014) Geophys. Res. Lett. , vol.41 , pp. 8847-8852
    • AghaKouchak, A.1    Cheng, L.2    Mazdiyasni, O.3    Farahmand, A.4
  • 4
    • 84901587064 scopus 로고    scopus 로고
    • Model selection for ecologists: The worldviews of AIC and BIC
    • Aho, K., D. Derryberry, and T. Peterson (2014), Model selection for ecologists: The worldviews of AIC and BIC, Ecology, 95(3), 631–636.
    • (2014) Ecology , vol.95 , Issue.3 , pp. 631-636
    • Aho, K.1    Derryberry, D.2    Peterson, T.3
  • 5
    • 0016355478 scopus 로고
    • A new look at the statistical model identification
    • Akaike, H. (1974), A new look at the statistical model identification, IEEE Trans. Autom. Control, 19(6), 716–723.
    • (1974) IEEE Trans. Autom. Control , vol.19 , Issue.6 , pp. 716-723
    • Akaike, H.1
  • 6
    • 85024397150 scopus 로고    scopus 로고
    • Information theory and an extension of the maximum likelihood principle, in, Selected Papers of Hirotugu Akaike, Springer, New York
    • Akaike, H. (1998), Information theory and an extension of the maximum likelihood principle, in Selected Papers of Hirotugu Akaike, pp. 199–213, Springer, New York.
    • (1998) , pp. 199-213
    • Akaike, H.1
  • 7
    • 0001327484 scopus 로고
    • A class of bivariate distributions including the bivariate logistic
    • Ali, M. M., N. Mikhail, and M. S. Haq (1978), A class of bivariate distributions including the bivariate logistic, J. Multivar. Anal., 8(3), 405–412.
    • (1978) J. Multivar. Anal. , vol.8 , Issue.3 , pp. 405-412
    • Ali, M.M.1    Mikhail, N.2    Haq, M.S.3
  • 8
    • 57849088168 scopus 로고    scopus 로고
    • A tutorial on adaptive MCMC
    • Andrieu, C., and J. Thoms (2008), A tutorial on adaptive MCMC, Stat. Comput., 18(4), 343–373.
    • (2008) Stat. Comput. , vol.18 , Issue.4 , pp. 343-373
    • Andrieu, C.1    Thoms, J.2
  • 9
    • 85054349138 scopus 로고    scopus 로고
    • Distributions expressed as copulas
    • in, Springer, New York
    • Balakrishna, N., and C. D. Lai (2009), Distributions expressed as copulas, in Continuous Bivariate Distributions, pp. 67–103, Springer, New York.
    • (2009) Continuous Bivariate Distributions , pp. 67-103
    • Balakrishna, N.1    Lai, C.D.2
  • 10
    • 33846341173 scopus 로고    scopus 로고
    • Copula-based geostatistical models for groundwater quality parameters
    • Bárdossy, A. (2006), Copula-based geostatistical models for groundwater quality parameters, Water Resour. Res., 42, W11416, doi:10.1029/2005WR004754.
    • (2006) Water Resour. Res. , vol.42 , pp. W11416
    • Bárdossy, A.1
  • 11
    • 84963130283 scopus 로고
    • Some bivariate uniform distributions
    • Barnett, V. (1980), Some bivariate uniform distributions, Commun. Stat. Theory Methods, 9(4), 453–461.
    • (1980) Commun. Stat. Theory Methods , vol.9 , Issue.4 , pp. 453-461
    • Barnett, V.1
  • 13
    • 84929836450 scopus 로고    scopus 로고
    • Copula representation of bivariate L-moments: A new estimation method for multiparameter two-dimensional copula models
    • Brahimi, B., F. Chebana, and A. Necir (2015), Copula representation of bivariate L-moments: A new estimation method for multiparameter two-dimensional copula models, Statistics, 49(3), 497–521.
    • (2015) Statistics , vol.49 , Issue.3 , pp. 497-521
    • Brahimi, B.1    Chebana, F.2    Necir, A.3
  • 14
    • 0001130234 scopus 로고    scopus 로고
    • A trust region method based on interior point techniques for nonlinear programming
    • Byrd, R. H., J. C. Gilbert, and J. Nocedal (2000), A trust region method based on interior point techniques for nonlinear programming, Math. Program., 89(1), 149–185.
    • (2000) Math. Program. , vol.89 , Issue.1 , pp. 149-185
    • Byrd, R.H.1    Gilbert, J.C.2    Nocedal, J.3
  • 15
    • 33847404127 scopus 로고    scopus 로고
    • Lower tail dependence for Archimedean copulas: Characterizations and pitfalls
    • Charpentier, A., and J. Segers (2007), Lower tail dependence for Archimedean copulas: Characterizations and pitfalls, Insur. Math. Econ., 40(3), 525–532.
    • (2007) Insur. Math. Econ. , vol.40 , Issue.3 , pp. 525-532
    • Charpentier, A.1    Segers, J.2
  • 16
    • 78851469671 scopus 로고    scopus 로고
    • Multivariate quantiles in hydrological frequency analysis
    • Chebana, F., and T. B. Ouarda (2011), Multivariate quantiles in hydrological frequency analysis, Environmetrics, 22(1), 63–78.
    • (2011) Environmetrics , vol.22 , Issue.1 , pp. 63-78
    • Chebana, F.1    Ouarda, T.B.2
  • 17
    • 84939932917 scopus 로고    scopus 로고
    • Non-stationary extreme value analysis in a changing climate
    • Cheng, L., A. AghaKouchak, E. Gilleland, and R. W. Katz (2014), Non-stationary extreme value analysis in a changing climate, Clim. Change, 127(2), 353–369.
    • (2014) Clim. Change , vol.127 , Issue.2 , pp. 353-369
    • Cheng, L.1    AghaKouchak, A.2    Gilleland, E.3    Katz, R.W.4
  • 18
    • 0017883262 scopus 로고
    • A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence
    • Clayton, D. G. (1978), A model for association in bivariate life tables and its application in epidemiological studies of familial tendency in chronic disease incidence, Biometrika, 65(1), 141–151.
    • (1978) Biometrika , vol.65 , Issue.1 , pp. 141-151
    • Clayton, D.G.1
  • 19
    • 0001596891 scopus 로고
    • A continuous general multivariate distribution and its properties
    • Cuadras, C. M., and J. Augé (1981), A continuous general multivariate distribution and its properties, Commun. Stat. Theory Methods, 10(4), 339–353.
    • (1981) Commun. Stat. Theory Methods , vol.10 , Issue.4 , pp. 339-353
    • Cuadras, C.M.1    Augé, J.2
  • 20
    • 0347269107 scopus 로고    scopus 로고
    • A generalized Pareto intensity-duration model of storm rainfall exploiting 2-copulas
    • De Michele, C., and G. Salvadori (2003), A generalized Pareto intensity-duration model of storm rainfall exploiting 2-copulas, J. Geophys. Res., 108(D2), 4067, doi:10.1029/2002JD002534.
    • (2003) J. Geophys. Res. , vol.108 , Issue.D2 , pp. 4067
    • De Michele, C.1    Salvadori, G.2
  • 21
  • 23
    • 0026445234 scopus 로고
    • Effective and efficient global optimization for conceptual rainfall-runoff models
    • Duan, Q., S. Sorooshian, and V. Gupta (1992), Effective and efficient global optimization for conceptual rainfall-runoff models, Water Resour. Res., 28(4), 1015–1031.
    • (1992) Water Resour. Res. , vol.28 , Issue.4 , pp. 1015-1031
    • Duan, Q.1    Sorooshian, S.2    Gupta, V.3
  • 24
    • 0027558431 scopus 로고
    • Shuffled complex evolution approach for effective and efficient global minimization
    • Duan, Q., V. K. Gupta, and S. Sorooshian (1993), Shuffled complex evolution approach for effective and efficient global minimization, J. Optim. Theory Appl., 76(3), 501–521.
    • (1993) J. Optim. Theory Appl. , vol.76 , Issue.3 , pp. 501-521
    • Duan, Q.1    Gupta, V.K.2    Sorooshian, S.3
  • 25
    • 77952557340 scopus 로고    scopus 로고
    • A note about the conjecture on spearman's rho and kendall's tau
    • Durrleman, V., A. Nikeghbali, and T. Roncalli (2000), A note about the conjecture on spearman's rho and kendall's tau. [Available at http://dx.doi.org/10.2139/ssrn.1032558.]
    • (2000)
    • Durrleman, V.1    Nikeghbali, A.2    Roncalli, T.3
  • 26
    • 2542636541 scopus 로고    scopus 로고
    • Bayesian inference in ecology
    • Ellison, A. M. (2004), Bayesian inference in ecology, Ecol. Lett., 7(6), 509–520.
    • (2004) Ecol. Lett. , vol.7 , Issue.6 , pp. 509-520
    • Ellison, A.M.1
  • 27
    • 85024371536 scopus 로고    scopus 로고
    • Modelling dependence with copulas, rapport technique, Dép. de Math., Inst. Féd. de Technol. de Zurich, Zurich, Switzerland
    • Embrechts, P., F. Lindskog, and A. McNeil (2001), Modelling dependence with copulas, rapport technique, Dép. de Math., Inst. Féd. de Technol. de Zurich, Zurich, Switzerland.
    • (2001)
    • Embrechts, P.1    Lindskog, F.2    McNeil, A.3
  • 29
    • 85024371777 scopus 로고    scopus 로고
    • A new class of copulas with tail dependence and a generalized tail dependence estimator, Citeseer, Friedrich-Alexander University Erlangen-Nuremberg, Germany
    • Fischer, M., and G. Hinzmann (2007), A new class of copulas with tail dependence and a generalized tail dependence estimator, Citeseer, Friedrich-Alexander University Erlangen-Nuremberg, Germany.
    • (2007)
    • Fischer, M.1    Hinzmann, G.2
  • 31
    • 85011135932 scopus 로고    scopus 로고
    • Understanding relationships using copulas
    • Frees, E. W., and E. A. Valdez (1998), Understanding relationships using copulas, North Am. Actuarial J., 2(1), 1–25.
    • (1998) North Am. Actuarial J. , vol.2 , Issue.1 , pp. 1-25
    • Frees, E.W.1    Valdez, E.A.2
  • 32
    • 84972492387 scopus 로고
    • Inference from iterative simulation using multiple sequences
    • Gelman, A., and D. B. Rubin (1992), Inference from iterative simulation using multiple sequences, Stat. Sci., 7, 457–472.
    • (1992) Stat. Sci. , vol.7 , pp. 457-472
    • Gelman, A.1    Rubin, D.B.2
  • 33
    • 34347377353 scopus 로고    scopus 로고
    • Everything you always wanted to know about copula modeling but were afraid to ask
    • Genest, C., and A.-C. Favre (2007), Everything you always wanted to know about copula modeling but were afraid to ask, J. Hydrol. Eng., 12(4), 347–368.
    • (2007) J. Hydrol. Eng. , vol.12 , Issue.4 , pp. 347-368
    • Genest, C.1    Favre, A.-C.2
  • 34
    • 0001667705 scopus 로고
    • Bayesian inference in econometric models using Monte Carlo integration
    • Geweke, J. (1989), Bayesian inference in econometric models using Monte Carlo integration, Econometrica, 57, 1317–1339.
    • (1989) Econometrica , vol.57 , pp. 1317-1339
    • Geweke, J.1
  • 36
    • 84878978436 scopus 로고    scopus 로고
    • Multivariate return periods in hydrology: A critical and practical review focusing on synthetic design hydrograph estimation
    • Gräler, B., M. van den Berg, S. Vandenberghe, A. Petroselli, S. Grimaldi, B. De Baets, and N. Verhoest (2013), Multivariate return periods in hydrology: A critical and practical review focusing on synthetic design hydrograph estimation, Hydrol. Earth Syst. Sci., 17(4), 1281–1296.
    • (2013) Hydrol. Earth Syst. Sci. , vol.17 , Issue.4 , pp. 1281-1296
    • Gräler, B.1    van den Berg, M.2    Vandenberghe, S.3    Petroselli, A.4    Grimaldi, S.5    De Baets, B.6    Verhoest, N.7
  • 37
    • 33746255727 scopus 로고    scopus 로고
    • Asymmetric copula in multivariate flood frequency analysis
    • Grimaldi, S., and F. Serinaldi (2006), Asymmetric copula in multivariate flood frequency analysis, Adv. Water Resour., 29(8), 1155–1167.
    • (2006) Adv. Water Resour. , vol.29 , Issue.8 , pp. 1155-1167
    • Grimaldi, S.1    Serinaldi, F.2
  • 38
    • 84960540458 scopus 로고    scopus 로고
    • Catchment compatibility via copulas: A non-parametric study of the dependence structures of hydrological responses
    • Grimaldi, S., A. Petroselli, G. Salvadori, and C. De Michele (2016), Catchment compatibility via copulas: A non-parametric study of the dependence structures of hydrological responses, Adv. Water Resour., 90, 116–133.
    • (2016) Adv. Water Resour. , vol.90 , pp. 116-133
    • Grimaldi, S.1    Petroselli, A.2    Salvadori, G.3    De Michele, C.4
  • 39
    • 84947392091 scopus 로고
    • Bivariate exponential distributions
    • Gumbel, E. J. (1960), Bivariate exponential distributions, J. Am. Stat. Assoc., 55(292), 698–707.
    • (1960) J. Am. Stat. Assoc. , vol.55 , Issue.292 , pp. 698-707
    • Gumbel, E.J.1
  • 40
    • 0033436531 scopus 로고    scopus 로고
    • Adaptive proposal distribution for random walk metropolis algorithm
    • Haario, H., E. Saksman, and J. Tamminen (1999), Adaptive proposal distribution for random walk metropolis algorithm, Comput. Stat., 14(3), 375–396.
    • (1999) Comput. Stat. , vol.14 , Issue.3 , pp. 375-396
    • Haario, H.1    Saksman, E.2    Tamminen, J.3
  • 41
    • 0038563932 scopus 로고    scopus 로고
    • An adaptive metropolis algorithm
    • Haario, H., E. Saksman, and J. Tamminen (2001), An adaptive metropolis algorithm, Bernoulli, 7, 223–242.
    • (2001) Bernoulli , vol.7 , pp. 223-242
    • Haario, H.1    Saksman, E.2    Tamminen, J.3
  • 42
    • 84876727791 scopus 로고    scopus 로고
    • Multivariate standardized drought index: A parametric multi-index model
    • Hao, Z., and A. AghaKouchak (2013), Multivariate standardized drought index: A parametric multi-index model, Adv. Water Resour., 57, 12–18.
    • (2013) Adv. Water Resour. , vol.57 , pp. 12-18
    • Hao, Z.1    AghaKouchak, A.2
  • 43
    • 79957506232 scopus 로고    scopus 로고
    • The Lincoln declaration on drought indices: Universal meteorological drought index recommended
    • Hayes, M., M. Svoboda, N. Wall, and M. Widhalm (2011), The Lincoln declaration on drought indices: Universal meteorological drought index recommended, Bull. Am. Meteorol. Soc., 92(4), 485–488.
    • (2011) Bull. Am. Meteorol. Soc. , vol.92 , Issue.4 , pp. 485-488
    • Hayes, M.1    Svoboda, M.2    Wall, N.3    Widhalm, M.4
  • 44
    • 0036700088 scopus 로고    scopus 로고
    • A review of twentieth-century drought indices used in the United States
    • Heim, R. R., Jr. (2002), A review of twentieth-century drought indices used in the United States, Bull. Am. Meteorol. Soc., 83(8), 1149–1165.
    • (2002) Bull. Am. Meteorol. Soc. , vol.83 , Issue.8 , pp. 1149-1165
    • Heim, R.R.1
  • 45
    • 0034849408 scopus 로고    scopus 로고
    • Mrbayes: Bayesian inference of phylogenetic trees
    • Huelsenbeck, J. P., and F. Ronquist (2001), Mrbayes: Bayesian inference of phylogenetic trees, Bioinformatics, 17(8), 754–755.
    • (2001) Bioinformatics , vol.17 , Issue.8 , pp. 754-755
    • Huelsenbeck, J.P.1    Ronquist, F.2
  • 46
    • 0035861456 scopus 로고    scopus 로고
    • Bayesian inference of phylogeny and its impact on evolutionary biology
    • Huelsenbeck, J. P., F. Ronquist, R. Nielsen, and J. P. Bollback (2001), Bayesian inference of phylogeny and its impact on evolutionary biology, Science, 294(5550), 2310–2314.
    • (2001) Science , vol.294 , Issue.5550 , pp. 2310-2314
    • Huelsenbeck, J.P.1    Ronquist, F.2    Nielsen, R.3    Bollback, J.P.4
  • 48
    • 0030140624 scopus 로고    scopus 로고
    • Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data
    • Jarrell, M., and J. E. Gubernatis (1996), Bayesian inference and the analytic continuation of imaginary-time quantum Monte Carlo data, Phys. Rep., 269(3), 133–195.
    • (1996) Phys. Rep. , vol.269 , Issue.3 , pp. 133-195
    • Jarrell, M.1    Gubernatis, J.E.2
  • 50
    • 84897106730 scopus 로고    scopus 로고
    • Increasing stress on disaster-risk finance due to large floods
    • Jongman, B., et al. (2014), Increasing stress on disaster-risk finance due to large floods, Nat. Clim. Change, 4(4), 264–268.
    • (2014) Nat. Clim. Change , vol.4 , Issue.4 , pp. 264-268
    • Jongman, B.1
  • 51
    • 71849084400 scopus 로고    scopus 로고
    • A copula-based joint deficit index for droughts
    • Kao, S.-C., and R. S. Govindaraju (2010), A copula-based joint deficit index for droughts, J. Hydrol., 380(1), 121–134.
    • (2010) J. Hydrol. , vol.380 , Issue.1 , pp. 121-134
    • Kao, S.-C.1    Govindaraju, R.S.2
  • 52
    • 33646510313 scopus 로고    scopus 로고
    • Bayesian analysis of input uncertainty in hydrological modeling: 2. Application
    • Kavetski, D., G. Kuczera, and S. W. Franks (2006), Bayesian analysis of input uncertainty in hydrological modeling: 2. Application, Water Resour. Res., 42, W03408, doi:10.1029/2005WR004376.
    • (2006) Water Resour. Res. , vol.42 , pp. W03408
    • Kavetski, D.1    Kuczera, G.2    Franks, S.W.3
  • 53
    • 6344285762 scopus 로고    scopus 로고
    • An aggregate drought index: Assessing drought severity based on fluctuations in the hydrologic cycle and surface water storage
    • Keyantash, J. A., and J. A. Dracup (2004), An aggregate drought index: Assessing drought severity based on fluctuations in the hydrologic cycle and surface water storage, Water Resour. Res., 40, W09304, doi:10.1029/2003WR002610.
    • (2004) Water Resour. Res. , vol.40 , pp. W09304
    • Keyantash, J.A.1    Dracup, J.A.2
  • 54
    • 85024375747 scopus 로고    scopus 로고
    • Contributions a l'etude des copules et a la modelisation de valeurs extremes bivariees, PhD thesis, Université Laval, Quebec City, Que., Canada
    • Khoudraji, A. (1996), Contributions a l'etude des copules et a la modelisation de valeurs extremes bivariees, PhD thesis, Université Laval, Quebec City, Que., Canada.
    • (1996)
    • Khoudraji, A.1
  • 55
    • 0032918166 scopus 로고    scopus 로고
    • Comprehensive at-site flood frequency analysis using Monte Carlo Bayesian inference
    • Kuczera, G. (1999), Comprehensive at-site flood frequency analysis using Monte Carlo Bayesian inference, Water Resour. Res., 35(5), 1551–1557.
    • (1999) Water Resour. Res. , vol.35 , Issue.5 , pp. 1551-1557
    • Kuczera, G.1
  • 56
    • 84979784043 scopus 로고    scopus 로고
    • A copula-based nonstationary frequency analysis for the 2012–2015 drought in California
    • Kwon, H.-H., and U. Lall (2016), A copula-based nonstationary frequency analysis for the 2012–2015 drought in California, Water Resour. Res., 52, 5662–5675, doi:10.1002/2016WR018959.
    • (2016) Water Resour. Res. , vol.52 , pp. 5662-5675
    • Kwon, H.-H.1    Lall, U.2
  • 57
    • 84877085106 scopus 로고    scopus 로고
    • Data-based analysis of bivariate copula tail dependence for drought duration and severity
    • Lee, T., R. Modarres, and T. Ouarda (2013), Data-based analysis of bivariate copula tail dependence for drought duration and severity, Hydrol. Processes, 27(10), 1454–1463.
    • (2013) Hydrol. Processes , vol.27 , Issue.10 , pp. 1454-1463
    • Lee, T.1    Modarres, R.2    Ouarda, T.3
  • 58
    • 84876526060 scopus 로고    scopus 로고
    • A bivariate mixed distribution with a heavy-tailed component and its application to single-site daily rainfall simulation
    • Li, C., V. P. Singh, and A. K. Mishra (2013), A bivariate mixed distribution with a heavy-tailed component and its application to single-site daily rainfall simulation, Water Resour. Res., 49, 767–789, doi:10.1002/wrcr.20063.
    • (2013) Water Resour. Res. , vol.49 , pp. 767-789
    • Li, C.1    Singh, V.P.2    Mishra, A.K.3
  • 59
    • 84912051870 scopus 로고
    • The relationship of drought frequency and duration to time scales, in Proceedings of the 8th Conference on Applied Climatology
    • Boston, Mass
    • McKee, T. B., N. J. Doesken, and J. Kleist (1993), The relationship of drought frequency and duration to time scales, in Proceedings of the 8th Conference on Applied Climatology, vol. 17, pp. 179–183, Am. Meteorol. Soc., Boston, Mass.
    • (1993) Am. Meteorol. Soc. , vol.17 , pp. 179-183
    • McKee, T.B.1    Doesken, N.J.2    Kleist, J.3
  • 60
    • 77952090851 scopus 로고    scopus 로고
    • Bayesian inference for multivariate copulas using pair-copula constructions
    • Min, A., and C. Czado (2010), Bayesian inference for multivariate copulas using pair-copula constructions, J. Financ. Econ., 8(4), 511–546.
    • (2010) J. Financ. Econ. , vol.8 , Issue.4 , pp. 511-546
    • Min, A.1    Czado, C.2
  • 61
    • 66449115238 scopus 로고    scopus 로고
    • Analysis of drought severity-area-frequency curves using a general circulation model and scenario uncertainty
    • Mishra, A., and V. P. Singh (2009), Analysis of drought severity-area-frequency curves using a general circulation model and scenario uncertainty, J. Geophys. Res., 114, D06120, doi:10.1029/2008JD010986.
    • (2009) J. Geophys. Res. , vol.114 , pp. D06120
    • Mishra, A.1    Singh, V.P.2
  • 62
    • 80155211693 scopus 로고    scopus 로고
    • Drought onset and recovery over the United States
    • Mo, K. C. (2011), Drought onset and recovery over the United States, J. Geophys. Res., 116, D20106, doi:10.1029/2011JD016168.
    • (2011) J. Geophys. Res. , vol.116
    • Mo, K.C.1
  • 65
    • 42549107445 scopus 로고    scopus 로고
    • Fitting copulas to bivariate earthquake data: The seismic gap hypothesis revisited
    • Nikoloulopoulos, A. K., and D. Karlis (2008), Fitting copulas to bivariate earthquake data: The seismic gap hypothesis revisited, Environmetrics, 19(3), 251–269.
    • (2008) Environmetrics , vol.19 , Issue.3 , pp. 251-269
    • Nikoloulopoulos, A.K.1    Karlis, D.2
  • 66
    • 84890414331 scopus 로고    scopus 로고
    • Copula models for frequency analysis what can be learned from a Bayesian perspective?
    • Parent, E., A.-C. Favre, J. Bernier, and L. Perreault (2014), Copula models for frequency analysis what can be learned from a Bayesian perspective?, Adv. Water Resour., 63, 91–103.
    • (2014) Adv. Water Resour. , vol.63 , pp. 91-103
    • Parent, E.1    Favre, A.-C.2    Bernier, J.3    Perreault, L.4
  • 67
    • 33750176872 scopus 로고    scopus 로고
    • Efficient Bayesian inference for Gaussian copula regression models
    • Pitt, M., D. Chan, and R. Kohn (2006), Efficient Bayesian inference for Gaussian copula regression models, Biometrika, 93(3), 537–554.
    • (2006) Biometrika , vol.93 , Issue.3 , pp. 537-554
    • Pitt, M.1    Chan, D.2    Kohn, R.3
  • 68
    • 33847095776 scopus 로고
    • A class of bivariate distributions
    • Plackett, R. L. (1965), A class of bivariate distributions, J. Am. Stat. Assoc., 60(310), 516–522.
    • (1965) J. Am. Stat. Assoc. , vol.60 , Issue.310 , pp. 516-522
    • Plackett, R.L.1
  • 70
    • 33847237299 scopus 로고    scopus 로고
    • Use of a Gaussian copula for multivariate extreme value analysis: Some case studies in hydrology
    • Renard, B., and M. Lang (2007), Use of a Gaussian copula for multivariate extreme value analysis: Some case studies in hydrology, Adv. Water Resour., 30(4), 897–912.
    • (2007) Adv. Water Resour. , vol.30 , Issue.4 , pp. 897-912
    • Renard, B.1    Lang, M.2
  • 71
    • 84979221129 scopus 로고    scopus 로고
    • Extreme value copulas and max-stable processes
    • Ribatet, M., and M. Sedki (2013), Extreme value copulas and max-stable processes, J. Soc. Fr. Stat., 154(1), 138–150.
    • (2013) J. Soc. Fr. Stat. , vol.154 , Issue.1 , pp. 138-150
    • Ribatet, M.1    Sedki, M.2
  • 73
    • 0000051645 scopus 로고    scopus 로고
    • Updating schemes, correlation structure, blocking and parameterization for the Gibbs sampler
    • Roberts, G. O., and S. K. Sahu (1997), Updating schemes, correlation structure, blocking and parameterization for the Gibbs sampler, J. R. Stat. Soc., Ser. B, 59(2), 291–317.
    • (1997) J. R. Stat. Soc., Ser. B , vol.59 , Issue.2 , pp. 291-317
    • Roberts, G.O.1    Sahu, S.K.2
  • 74
    • 33750293005 scopus 로고    scopus 로고
    • Testing the bivariate distribution of daily equity returns using copulas. An application to the Spanish stock market
    • Roch, O., and A. Alegre (2006), Testing the bivariate distribution of daily equity returns using copulas. An application to the Spanish stock market, Comput. Stat. Data Anal., 51(2), 1312–1329.
    • (2006) Comput. Stat. Data Anal. , vol.51 , Issue.2 , pp. 1312-1329
    • Roch, O.1    Alegre, A.2
  • 75
    • 84890094491 scopus 로고    scopus 로고
    • Bridging the gap between glue and formal statistical approaches: Approximate Bayesian computation
    • Sadegh, M., and J. Vrugt (2013), Bridging the gap between glue and formal statistical approaches: Approximate Bayesian computation, Hydrol. Earth Syst. Sci., 17, 4831–4850.
    • (2013) Hydrol. Earth Syst. Sci. , vol.17 , pp. 4831-4850
    • Sadegh, M.1    Vrugt, J.2
  • 78
    • 2542418932 scopus 로고    scopus 로고
    • Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals
    • Salvadori, G., and C. De Michele (2004a), Analytical calculation of storm volume statistics involving Pareto-like intensity-duration marginals, Geophys. Res. Lett., 31, L04502, doi:10.1029/2003GL018767.
    • (2004) Geophys. Res. Lett. , vol.31 , pp. L04502
    • Salvadori, G.1    De Michele, C.2
  • 79
    • 12544258027 scopus 로고    scopus 로고
    • Frequency analysis via copulas: Theoretical aspects and applications to hydrological events
    • Salvadori, G., and C. De Michele (2004b), Frequency analysis via copulas: Theoretical aspects and applications to hydrological events, Water Resour. Res., 40, W12511, doi:10.1029/2004WR003133.
    • (2004) Water Resour. Res. , vol.40 , pp. W12511
    • Salvadori, G.1    De Michele, C.2
  • 80
    • 84969916671 scopus 로고    scopus 로고
    • A multivariate copula-based framework for dealing with hazard scenarios and failure probabilities
    • Salvadori, G., F. Durante, C. De Michele, M. Bernardi, and L. Petrella (2016), A multivariate copula-based framework for dealing with hazard scenarios and failure probabilities, Water Resour. Res., 52, 3701–3721, doi:10.1002/2015WR017225.
    • (2016) Water Resour. Res. , vol.52 , pp. 3701-3721
    • Salvadori, G.1    Durante, F.2    De Michele, C.3    Bernardi, M.4    Petrella, L.5
  • 81
    • 0000120766 scopus 로고
    • Estimating the dimension of a model
    • Schwarz, G. (1978), Estimating the dimension of a model, Ann. Stat., 6(2), 461–464.
    • (1978) Ann. Stat. , vol.6 , Issue.2 , pp. 461-464
    • Schwarz, G.1
  • 83
    • 84878972256 scopus 로고    scopus 로고
    • The intrinsic dependence structure of peak, volume, duration, and average intensity of hyetographs and hydrographs
    • Serinaldi, F., and C. G. Kilsby (2013), The intrinsic dependence structure of peak, volume, duration, and average intensity of hyetographs and hydrographs, Water Resour. Res., 49, 3423–3442, doi:10.1002/wrcr.20221.
    • (2013) Water Resour. Res. , vol.49 , pp. 3423-3442
    • Serinaldi, F.1    Kilsby, C.G.2
  • 84
    • 0029597951 scopus 로고
    • Inferences on the association parameter in copula models for bivariate survival data
    • Shih, J. H., and T. A. Louis (1995), Inferences on the association parameter in copula models for bivariate survival data, Biometrics, 51, 1384–1399.
    • (1995) Biometrics , vol.51 , pp. 1384-1399
    • Shih, J.H.1    Louis, T.A.2
  • 85
    • 40849083737 scopus 로고    scopus 로고
    • Use of a standardized runoff index for characterizing hydrologic drought
    • Shukla, S., and A. W. Wood (2008), Use of a standardized runoff index for characterizing hydrologic drought, Geophys. Res. Lett., 35, L02405, doi:10.1029/2007GL032487.
    • (2008) Geophys. Res. Lett. , vol.35 , pp. L02405
    • Shukla, S.1    Wood, A.W.2
  • 86
    • 85024402618 scopus 로고
    • Fonctions de Répartition À N Dimensions Et Leurs Marges, Univ. Paris 8, Saint-Denis, France
    • Sklar, M. (1959), Fonctions de Répartition À N Dimensions Et Leurs Marges, Univ. Paris 8, Saint-Denis, France.
    • (1959)
    • Sklar, M.1
  • 87
    • 84862008434 scopus 로고    scopus 로고
    • Modelling dependence using skew t copulas: Bayesian inference and applications
    • Smith, M. S., Q. Gan, and R. J. Kohn (2012), Modelling dependence using skew t copulas: Bayesian inference and applications, J. Appl. Econ., 27(3), 500–522.
    • (2012) J. Appl. Econ. , vol.27 , Issue.3 , pp. 500-522
    • Smith, M.S.1    Gan, Q.2    Kohn, R.J.3
  • 88
    • 0019227508 scopus 로고
    • Stochastic parameter estimation procedures for hydrologie rainfall-runoff models: Correlated and heteroscedastic error cases
    • Sorooshian, S., and J. A. Dracup (1980), Stochastic parameter estimation procedures for hydrologie rainfall-runoff models: Correlated and heteroscedastic error cases, Water Resour. Res., 16(2), 430–442.
    • (1980) Water Resour. Res. , vol.16 , Issue.2 , pp. 430-442
    • Sorooshian, S.1    Dracup, J.A.2
  • 89
    • 85024374948 scopus 로고
    • Differential Evolution—A Simple and Efficient Adaptive Scheme for Global Optimization Over Continuous Spaces, Int. Comput. Sci. Inst., Berkeley, Calif
    • Storn, R., and K. Price (1995), Differential Evolution—A Simple and Efficient Adaptive Scheme for Global Optimization Over Continuous Spaces, vol. 3, Int. Comput. Sci. Inst., Berkeley, Calif.
    • (1995) , vol.3
    • Storn, R.1    Price, K.2
  • 90
    • 0142000477 scopus 로고    scopus 로고
    • Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces
    • Storn, R., and K. Price (1997), Differential evolution—A simple and efficient heuristic for global optimization over continuous spaces, J. Global Optim., 11(4), 341–359.
    • (1997) J. Global Optim. , vol.11 , Issue.4 , pp. 341-359
    • Storn, R.1    Price, K.2
  • 91
    • 0036700695 scopus 로고    scopus 로고
    • The drought monitor
    • Svoboda, M., et al. (2002), The drought monitor, Bull. Am. Meteorol. Soc., 83(8), 1181–1190.
    • (2002) Bull. Am. Meteorol. Soc. , vol.83 , Issue.8 , pp. 1181-1190
    • Svoboda, M.1
  • 93
    • 33745603720 scopus 로고    scopus 로고
    • A Markov chain Monte Carlo version of the genetic algorithm differential evolution: Easy Bayesian computing for real parameter spaces
    • Ter Braak, C. J. (2006), A Markov chain Monte Carlo version of the genetic algorithm differential evolution: Easy Bayesian computing for real parameter spaces, Stat. Comput., 16(3), 239–249.
    • (2006) Stat. Comput. , vol.16 , Issue.3 , pp. 239-249
    • Ter Braak, C.J.1
  • 94
    • 57849128804 scopus 로고    scopus 로고
    • Differential evolution Markov chain with snooker updater and fewer chains
    • ter Braak, C. J., and J. A. Vrugt (2008), Differential evolution Markov chain with snooker updater and fewer chains, Stat. Comput., 18(4), 435–446.
    • (2008) Stat. Comput. , vol.18 , Issue.4 , pp. 435-446
    • ter Braak, C.J.1    Vrugt, J.A.2
  • 95
    • 0034794967 scopus 로고    scopus 로고
    • Bayesian recursive parameter estimation for hydrologic models
    • Thiemann, M., M. Trosset, H. Gupta, and S. Sorooshian (2001), Bayesian recursive parameter estimation for hydrologic models, Water Resour. Res., 37(10), 2521–2535.
    • (2001) Water Resour. Res. , vol.37 , Issue.10 , pp. 2521-2535
    • Thiemann, M.1    Trosset, M.2    Gupta, H.3    Sorooshian, S.4
  • 96
    • 69849096009 scopus 로고    scopus 로고
    • Critical evaluation of parameter consistency and predictive uncertainty in hydrological modeling: A case study using Bayesian total error analysis
    • Thyer, M., B. Renard, D. Kavetski, G. Kuczera, S. W. Franks, and S. Srikanthan (2009), Critical evaluation of parameter consistency and predictive uncertainty in hydrological modeling: A case study using Bayesian total error analysis, Water Resour. Res., 45, W00B14, doi:10.1029/2008WR006825.
    • (2009) Water Resour. Res. , vol.45 , pp. W00B14
    • Thyer, M.1    Renard, B.2    Kavetski, D.3    Kuczera, G.4    Franks, S.W.5    Srikanthan, S.6
  • 98
    • 77953696347 scopus 로고    scopus 로고
    • A multiscalar drought index sensitive to global warming: The standardized precipitation evapotranspiration index
    • Vicente-Serrano, S. M., S. Beguería, and J. I. López-Moreno (2010), A multiscalar drought index sensitive to global warming: The standardized precipitation evapotranspiration index, J. Clim., 23(7), 1696–1718.
    • (2010) J. Clim. , vol.23 , Issue.7 , pp. 1696-1718
    • Vicente-Serrano, S.M.1    Beguería, S.2    López-Moreno, J.I.3
  • 99
    • 84880656706 scopus 로고    scopus 로고
    • Toward diagnostic model calibration and evaluation: Approximate Bayesian computation
    • Vrugt, J. A., and M. Sadegh (2013), Toward diagnostic model calibration and evaluation: Approximate Bayesian computation, Water Resour. Res., 49, 4335–4345, doi:10.1002/wrcr.20354.
    • (2013) Water Resour. Res. , vol.49 , pp. 4335-4345
    • Vrugt, J.A.1    Sadegh, M.2
  • 100
    • 65349141143 scopus 로고    scopus 로고
    • Accelerating Markov chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling
    • Vrugt, J. A., C. Ter Braak, C. Diks, B. A. Robinson, J. M. Hyman, and D. Higdon (2009), Accelerating Markov chain Monte Carlo simulation by differential evolution with self-adaptive randomized subspace sampling, Int. J. Nonlinear Sci. Numer. Simul., 10(3), 273–290.
    • (2009) Int. J. Nonlinear Sci. Numer. Simul. , vol.10 , Issue.3 , pp. 273-290
    • Vrugt, J.A.1    Ter Braak, C.2    Diks, C.3    Robinson, B.A.4    Hyman, J.M.5    Higdon, D.6
  • 101
    • 84948131753 scopus 로고    scopus 로고
    • Increasing risk of compound flooding from storm surge and rainfall for major us cities
    • Wahl, T., S. Jain, J. Bender, S. D. Meyers, and M. E. Luther (2015), Increasing risk of compound flooding from storm surge and rainfall for major us cities, Nat. Clim. Change, 5(12), 1093–1097.
    • (2015) Nat. Clim. Change , vol.5 , Issue.12 , pp. 1093-1097
    • Wahl, T.1    Jain, S.2    Bender, J.3    Meyers, S.D.4    Luther, M.E.5
  • 102
    • 33645294357 scopus 로고    scopus 로고
    • An interior algorithm for nonlinear optimization that combines line search and trust region steps
    • Waltz, R. A., J. L. Morales, J. Nocedal, and D. Orban (2006), An interior algorithm for nonlinear optimization that combines line search and trust region steps, Math. Program., 107(3), 391–408.
    • (2006) Math. Program. , vol.107 , Issue.3 , pp. 391-408
    • Waltz, R.A.1    Morales, J.L.2    Nocedal, J.3    Orban, D.4
  • 103
    • 0016544456 scopus 로고
    • Bayesian inference and decision making for extreme hydrologic events
    • Wood, E. F., and I. Rodríguez-Iturbe (1975), Bayesian inference and decision making for extreme hydrologic events, Water Resour. Res., 11(4), 533–542.
    • (1975) Water Resour. Res. , vol.11 , Issue.4 , pp. 533-542
    • Wood, E.F.1    Rodríguez-Iturbe, I.2
  • 104
    • 0033590199 scopus 로고    scopus 로고
    • The Gumbel mixed model for flood frequency analysis
    • Yue, S., T. Ouarda, B. Bobée, P. Legendre, and P. Bruneau (1999), The Gumbel mixed model for flood frequency analysis, J. Hydrol., 226(1), 88–100.
    • (1999) J. Hydrol. , vol.226 , Issue.1 , pp. 88-100
    • Yue, S.1    Ouarda, T.2    Bobée, B.3    Legendre, P.4    Bruneau, P.5
  • 105
    • 33845564762 scopus 로고    scopus 로고
    • Bivariate rainfall frequency distributions using Archimedean copulas
    • Zhang, L., and V. P. Singh (2007), Bivariate rainfall frequency distributions using Archimedean copulas, J. Hydrol., 332(1), 93–109.
    • (2007) J. Hydrol. , vol.332 , Issue.1 , pp. 93-109
    • Zhang, L.1    Singh, V.P.2


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