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In 1968, the U.S. Water Resources Council recommended, for flood frequency analysis, the systematic use of the Log-Pearson type III distribution, fitted by the indirect method of moments. This recommendation was the starting point of numerous studies involving:
- proposing other parameter estimation methods for this distribution;
- taking into account other distributions, such as Generalized Extreme Value (GEV), for which Hosking (1990) [18] proposed an estimation method based on probability weighted moments (L-moments). A critical review of these theoretical developments is presented herein. The effect of separation is being discussed, as it is considered a selection criterion for representative flood distribution functions. Also, we present recent results concerning the Halphen distributions.