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L-moments: theory and application in hydrology

This technical note aimed to review the L-moments methods which have been proposed to calculate the parameters of the main distributions of probabilities used in hydrological studies. It also aimed to infer on the type of statistical distribution most used for specific applications. Based on the review, it was concluded that when analyzing data of extreme events it is advisable to test the adherence of, at least, the following distributions of three parameters: Generalized Logistics, Generalized of Extreme Events, Pearson type III and Generalized of Pareto. It was also concluded that the parameters of these distributions and its quantis should be estimated using the L-Moment derived of the Moments weighted by Probability.

Hidrology; statistical distributions; moments methods


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