1999
DOI: 10.1029/1999wr900012
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Comprehensive at‐site flood frequency analysis using Monte Carlo Bayesian inference

Abstract: Abstract. In flood frequency applications where the design flood is required to have a specified exceedance probability, expected probability should be used. Its computation, however, presents formidable difficulties. This study presents a Monte Carlo Bayesian method for computing the expected probability distribution as well as quantile confidence limits for any flood frequency distribution using data on gauged flows, possibly corrupted by rating curve error, and on censored flows. This is achieved by a three… Show more

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Cited by 172 publications
(151 citation statements)
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References 15 publications
(9 reference statements)
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“…The second family uses a continuous simulation approach Lavabre, 1999, 2002), where a rainfall generator is coupled with a rainfall-runoff model to generate long hydrological series from which extreme quantiles can be inferred. Within both families, parameter estimation can be performed at the local scale using at-site streamflow data only (e.g., Kuczera, 1999;Martins and Stedinger, 2000), at the regional scale using streamflow data from neighboring stations only (e.g., Stedinger and Tasker, Published by Copernicus Publications on behalf of the European Geosciences Union. Hosking and Wallis, 1997), or combining local and regional information (e.g., Ribatet et al, 2006).…”
Section: Diversity Of Flood Frequency Analysis Approachesmentioning
confidence: 99%
“…The second family uses a continuous simulation approach Lavabre, 1999, 2002), where a rainfall generator is coupled with a rainfall-runoff model to generate long hydrological series from which extreme quantiles can be inferred. Within both families, parameter estimation can be performed at the local scale using at-site streamflow data only (e.g., Kuczera, 1999;Martins and Stedinger, 2000), at the regional scale using streamflow data from neighboring stations only (e.g., Stedinger and Tasker, Published by Copernicus Publications on behalf of the European Geosciences Union. Hosking and Wallis, 1997), or combining local and regional information (e.g., Ribatet et al, 2006).…”
Section: Diversity Of Flood Frequency Analysis Approachesmentioning
confidence: 99%
“…Several methods have been used in the estimation of the statistical parameters for the selected distribution functions . The most efficient methods to incorporate imprecise and categorical data are (1) maximum likelihood estimators (Leese, 1973;Stedinger and Cohn, 1986;Francés, 2001); (2) the method of expected moments (Cohn et al, 1997;England et al, 2003); and (3) Bayesian methods (Kuczera, 1999;O'Connell et al, 2002;O'Connell, 2005;Reis and Stedinger, 2005). Several reviews of these methods have been published by Stedinger et al (1993) and , and case study applications in Europe can be found, among others in Calenda et al (2009) and Botero and Francés (2010).…”
Section: Flood Frequency Analysismentioning
confidence: 99%
“…Minimum discharge estimates were calculated by hydraulic modelling using the HEC-RAS hydraulic model (Brunner, 2001) with input data and parameter settings provided in In addition the percentage annual exceedance probability (AEP) of each palaeoflood is estimated in the FLIKE software (Kuczera, 1999) using systematic records from the respective gauging stations. An extreme flood discharge was defined as the 90 th percentile of …”
Section: Discharge Reconstruction Of Flood Magnitudementioning
confidence: 99%