Abstract
Simple homogeneous formulations of two extreme value partial duration flood models are compared to more sophisticated compound formulations in terms of asymptotic performance of quantile estimates. The compound model formulations were developed to model flood series resulting from mixed climatological processes. It was found that only in the case of marked nonhomogeneity in the data samples did the compound formulation of the models offer significant advantages in terms of variance of quantile estimates. However, the estimates from the homogeneous model were significantly biased in the negative direction. This negative bias of quantile estimates from the simple model was even more pronounced when the more sophisticated Weibull model was used as the base.
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References
Ashkar, F.; Rousselle, J. 1987: Partial duration series modeling under the assumption of a Poissonian flood count. J. Hydro. 90, 135–144
Cruise, J.F.; Arora, K. 1990: A hydroclimatic application strategy for the Poisson partial duration model. Water Res. Bull. 26(3), 431–432
Diehl, T.; Potter, K.W. 1987: Mixed flood distributions in Wisconsin, In: Hydrologic Frequency Modeling, V.P. Singh (Editor), Reidel Publishing Company, Boston, MA, 213–226
Ekanayake, S.T.B. 1991: A comparative evaluation of the exact extreme value stochastic flood for mixed populations. Ph.D. Dissertation. Department of Civil Engineering, Louisiana State University, Baton Rouge, Louisiana, 196 pp.
Ekanayake, S.T.B.; Cruise, J.F. 1993: Comparisons of Weibull- and exponential-based partial duration stochastic flood model. Stochastic Hydrology and Hydraulics, in press
Hirschboeck, K.K.; Cruise, J.F. 1990: Hydroclimatic regionalization of flooding variability: A combined stochastic-climatic approach. Technical Progress Report: Year 1, submitted to U.S. Geological Survey, Water Resources Research Grant Program Section 105, 69 pp
Jarett, R.D.; Costa, J.E. 1982: Multidisciplinary approach to the flood hydrology of foothill streams in Colorado. Proceedings, International Symposium on Hydrometeorology, AWRA, 565–569
Rasmussen, P.F.; Rosbjerg, D. 1991: Prediction uncertainty in seasonal partial duration series. Water Resource Res. 27(11), 2875–2883
Rosbjerg, D. 1987: Partial duration series with log-normal distributed peak values. In: Hydrologic Frequency Modeling, V.P. Singh (Editor), Reidel Publishing Company, Boston, MA, 117–129
Rossi, F.; Fiorentino, M.; Versace, P. 1984: Two-component extreme value distribution for flood frequency analysis. Water Resource Res. 20(7), 847–856
Singh, V.P.; Cruise, J.F.; Ming, M. 1990: A comparative evaluation of the estimators of the Weibull distribution by Monte-Carlo simulation. J. of Statis. Comput. Simul. 36, 292–241
Todorovic, P. 1970: On some problems involving random numbers of random variables. Annals of Mathematical Statistics 41(3), 1059–1063
Todorovic, P.; Rousselle, E. 1971: Some problems in flood analysis. Water Res. Res. 7(5), 1144–1150
U.S. Geological Survey, 1988: National Water Summary, 1988: Floods and Droughts. USGS Water Supply Paper 2375
Waylen, P.; Woo, M. 1982: Prediction of annual floods generated by mixed processes. Water Resource Res. 18(4), 1283–1286
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Ekanayake, S.T., Cruise, J.F. Comparative evaluation of Poisson partial duration models for mixed flood populations. Stochastic Hydrol Hydraul 8, 207–218 (1994). https://doi.org/10.1007/BF01587235
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DOI: https://doi.org/10.1007/BF01587235