Abstract
The two component extreme value (TCEV) distribution has recently been shown to account for most of the characteristics of the real flood experience. A new method of parameter estimation for this distribution is derived using the principle of maximum entropy (POME). This method of parameter estimation is suitable for application in both the site-specific and regional cases and appears simpler than the maximum likelihood estimation method. Statistical properties of the regionalized estimation were evaluated using a Monte Carlo approach and compared with those of the maximum likelihood regional estimators.
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Arnell, N.W.; Gabriele, S. 1986: Regional flood frequency analysis using the two-component extreme value distribution: an assessment using computer simulation experiments. Proceeding of the Seminar of December 16–20, 1985 (in press). “Combined efficiency of direct and indirect estimates for point and regional flood prediction”, Perugia, Italy
Beran, M.A.; Hosking, J.R.M.; Arnell, N.W. 1986: Comment on ‘Two-component extreme value distribution for flood frequency analysis’, by Rossi et al., 1984. Water Resour. Res. 22(2), 263–266
Canfield, R.V. 1979: The distribution of the extreme of a mixture random variable with application in hydrology. In: McBean, E.A.; Hipel, K.W.; Unny, T.E. (eds.) Input for risk analysis in Water Systems, pp. 77–84. Fort Collins, Colorado
Fiorentino, M.; Gabriele, S. 1985: Distribuzione TCEV: metodi di stima dei parametri e proprieta statistiche degli stimatori. Consiglio Nazaionale delle Ricerche-IRPI, Geodata n. 25, Cosenza, Italy (in Italian)
Fiorentino, M.; Rossi, F.; Versace, P. 1985: Regional flood frequency estimation using the two-component extreme value distribution. Hydrological Sciences J. 30, 51–64
Fiorentino, M.; Gabriele, S.; Rossi, F.; Versace, P. 1987: Hierarchical approach for regional flood frequency analysis. In: Singh, V.P. (ed.) Regional frequency analysis, The Netherlands: D. Reidell Publ. (in press)
Jaynes, E.T. 1957: Information theory and statistical mechanics, I. Physical Review 106, 620–630
Jaynes, E.T. 1961: Probability theory in science and engineering. New York: McGraw-Hill
Jaynes, E.T. 1968: Prior probabilities. IEEE Trans. Syst. Man Cybern., 3(SSC-4), 227–241
Jowitt, P.W. 1979: The extreme-value type-I distribution and the principle of maximum entropy. J. of Hydrology. 42, 23–38
Rossi, F.; Fiorentino, M.; Versace, P. 1986: Reply to the comment on ‘Two-component extreme value distribution for flood frequency analysis. Water Resour. Res. 22(2), 267–269
Shannon, C.C.; Weaver, W. 1949: The mathematical theory of communication pp. 117, The University of Illinois Press, Urbana, Illinois
Singh, V.P.; Singh, K. 1985: Derivation of the Pearson type (PT) III distribution by using the principle of maximum entropy (POME). J. of Hydrology. 80, 197–214
Singh, V.P.; Singh, K.; Rajagopal, K. 1985: Application of the principle of maximum entropy (POME) to hydrologic frequency analysis. Completion Report, Louisiana Water Resour. Res. Institute, Louisiana State University, Baton Rouge, Louisiana
Sonuga, J.O. 1972: Principal of maximum entropy in hydrologic frequency and analysis. J. of Hydrology. 17, 117–191
Sonuga, J.O. 1976: Entropy principle applied to rainfall-runoff process. J. of Hydrology. 30, 81–94
Verdugo Lazo, A.C.Z.; Rathie, P.N. 1978: On the entropy of continuous probability distributions. IEEE Transactions on Information Theory. IT-24(1), 120–122
Versace, P.; Fiorentino, M.; Rossi, F. 1982: Analysis of flood series by stochastic models. In: El-Shaarawi, A.H.; Esterby, S.R. (eds.) In Time Series Methods in Hydrosciences, 315–324, Elsevier, New York
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Fiorentino, M., Arora, K. & Singh, V.P. The two-component extreme value distribution for flood frequency analysis: Derivation of a new estimation method. Stochastic Hydrol Hydraul 1, 199–208 (1987). https://doi.org/10.1007/BF01543891
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DOI: https://doi.org/10.1007/BF01543891