Estimation of the Statistical Distribution Used in Hydrology Using Kernel Functions

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In this paper we will study the statistical distributions for the extreme discharges of the Danube River using kernel functions. We will also compare the results with those obtained using classical cumulative distribution functions (Pareto, Weibull, etc).

[1] Bâ, K., Diaz-Delgado, C., Cârsteanu, A. (2001), Confidence Intervals of Quantiles in Hidrology Computed by an Analytical Method, Natural Hazards, 24, 1-12.

[2] Ciuiu, D. (2009), Numerical and Monte Carlo Methods to Make Normal Residues in Regression, RomanianJournal for Economic Forecasting, 12(4), 119-131.

[3] Nash, J.E., Sutcliffe, J.V. (1970), River flow forecasting through conceptual models part I - A discussion of principles, Journal of Hydrology, 10(3), 282-290.

[4] Moriasi, D.N., Arnold, J.G., Van Liew, M.W., Bingner, R.L., Harmel, R.D., Veith, T.L. (2007), Model Evaluation Guidelines for Systematic Quantification of Accuracy in Watershed Simulations, Transactions of theASABE, 50(3), 885-900.

[5] Saporta, G. (1990), Probabilités, Analyse des Donées et Statistique, Editions Technip, Paris.

[6] Singh, V. P., Guo, H. (1995), Parameter estimationn for 3-parameter generalized Pareto distribution by the principle of maximum entropy, Hydrological Sciences, Journal des Sciences Hydrologiques, 40(2), 165-181.

[7] Trandafir, R., Ciuiu, D., Drobot, R. (2011), The Utilization of Copula in Hydrology, Scientific JournalMathematical Modeling in Civil Engineering, 7(2 BIS), 12-19.

[8] Văduva, I., Pascu, M. (2003), Nonparametric Estimate of the Hazard Rate: A Survey, Revue Roumaine Math. Pures Appl., 58(2), 173-191.

[9] Văduva, I. (2004), Modele de simulare, Ed. Universităţii Bucureşti.

[10]Văduva, I. (1968), Contribuţii la teoria estimaţiilor statistice ale densităţilor de repartiţie şi aplicaţii, Studii şiCercetări Matematice, 8, 1027-1076.

Mathematical Modelling in Civil Engineering

The Journal of Technical University of Civil Engineering of Bucharest

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