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Ashkar F, Ouarda TBMJ (1998) Approximate confidence intervals for quantiles of gamma and generalized gamma distributions. J Hydrol Eng 3(1):43–51
Benjamin JR, Cornell CA (1970) Probability statistics and decision for civil engineers. McGraw-Hill, New York
Bobo B, Unny TE (1976) Model uncertainty in flood frequency analysis and frequency-based design. Water Resour Res 12(6):1109–1117
Chbab EH, van Noortwijk JM, Duits MT (2000) Bayesian frequency analysis of extreme river discharges. In: Toensmann F, Koch M, Kassel HerkulesVerlag (eds) River flood defence (international symposium on flood defence). Kassel, Germany, pp F51–F60
Chowdhury JU, Stedinger JR (1991) Confidence interval for design flood with estimated skew coefficient, J. Hydraul Eng 117(7):811–931
Cohn TA, Lane WL, Baier WG (1997) An algorithm for computing moments-based flood quantile estimates when historical flood information is available. Water Resour Res 33(9):2089–2096
Cohn TA, Lane WL, Stedinger JR (2001) Confidence intervals for expected moments algorithm flood quantile estimates. Water Resour Res 37(6):1695–1706
Gelman A, Rubin DB (1992) Inference from iterative simulation using multiple sequences. Stat Sci 7(4):457–472
Haario H, Saksman E, Tamminem J (2001) An adaptive metropolis algorithm. Bernoulli 7(2):223–242
Haddad K, Rahman A (2003) Selection of the best fit flood frequency distribution and parameter estimation procedure: a case study for Tasmania in Australia. Stoch Environ Res Risk Assess 25:415–428
Kass RE, Raftery AE (1995) Bayes factors. J Am Stat Assoc 90(430):773–795
Kuczera G (1982) Combining site-specific and regional information: an empirical Bayes approach. Water Resour Res 18(2):306–314
Kuczera G (1999) Comprehensive at-site flood frequency analysis using Monte Carlo Bayesian inference. Water Resour Res 35(5):1551–1557
Laio F, Di Baldassarre G, Montanari A (2009) Model selection techniques for the frequency analysis of hydrological extremes. Water Resour Res 45(7). doi:10.1029/2007WR006666
Lee KS, Kim SU (2008) Identification of uncertainty in low flow frequency analysis using Bayesian MCMC method. Hydrol Process 22(12):1949–1964. doi:10.1002/hyp.6778
Martins ES, Stedinger JR (2001) Historical information in a GMLE-GEV framework with partial duration and annual maximum series. Water Resour Res 37(10):2551–2557
Merz B, Thieken AH (2005) Separating natural and epistemic uncertainty in flood frequency analysis. J Hydrol 309(1–4):114–132
Micevski T, Kuczera G (2009) Combining site and regional flood information using a Bayesian Monte Carlo approach. Water Resour Res 45, W04405. doi:10.1029/2008WR007173
O’Connell DRH, Ostenaa DA, Levish DR, Klinger RE (2002) Bayesian flood frequency analysis with paleohydrologic bound data. Water Resour Res 38(5):1058. doi:10.1029/2000WR000028
O’Connell DRH (2005) Nonparametric Bayesian flood frequency estimation. J Hydrol 313:79–96
Pilon PJ, Adamowski K (1993) Asymptotic variance of flood quantile in log Pearson type III distribution with historical information. J Hydrol 143(3–4):481–503
Reis DS Jr, Stedinger JR (2005) Bayesian MCMC flood frequency analysis with historical information. J Hydrol 313(1–2):97–116
Ribatet M, Sauquet E, Gresillon J-M, Ouarda TBMJ (2007) A regional Bayesian POT model for flood frequency analysis. Stoch Env Res Risk Assess 21:327–339. doi:10.1007/s00477-006-0068-z
Seidou O, Ouarda T, Barbet M, Bruneau P, Bobee B (2006) A parametric Bayesian combination of local and regional information in flood frequency analysis. Water Resour Res 42(11). doi: 10.1029/2005WR004397
Stedinger JR (1983) Confidence intervals for design events. J Hydraul Eng 109(1):13–27
Stedinger JR, Cohn TA (1986) Flood frequency analysis with historical and paleoflood information. Water Resour Res 22(5):785–793
Stedinger JR, Vogel RM, Foufoula-Georgiou E (1993) Frequency analysis of extreme events, Chap. 18. In: D. Maidment (ed) Handbook of hydrology. McGraw-Hill, New York
Tang WH (1980) Bayesian frequency analysis. J Hydraul Div 106(7):1203–1218
van Gelder PHAJM, van Noortwijk JM, Duits MT (1999) Selection of probability distribution with a case study on extreme Oder River discharges. Paper presented at 10th European conference on safety and reliability, European Safety and Reliability Association, Munich-Garching, Germany, pp 1475–1480
Whitley RJ, Hromadka TV II (1999) Approximate confidence intervals for design floods for a single site using a neural network. Water Resour Res 35(1):203–209. doi:10.1029/1998WR900016
Wood EF, Rodriguez-Iturbe I (1975a) Bayesian inference and decision making for extreme hydrologic events. Water Resour Res 11(4):533–554
Wood EF, Rodriguez-Iturbe I (1975b) A Bayesian approach to analyzing uncertainty among flood frequency models. Water Resour Res 11(6):839–843
Acknowledgments
This study was supported by the Major Program of National Natural Science Foundation of China (grant no. 51190095), the National Basic Research Program of China (also called 973 Program, grant no. 2010CB951102), and by the National Natural Science Foundation of China (grant no. 51079039, 51179046).
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Liang, Z., Chang, W. & Li, B. Bayesian flood frequency analysis in the light of model and parameter uncertainties. Stoch Environ Res Risk Assess 26, 721–730 (2012). https://doi.org/10.1007/s00477-011-0552-y
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DOI: https://doi.org/10.1007/s00477-011-0552-y