In this study, we use the method of L-moment to evaluate estimators of the parameters and quantiles of nine probability distributions, namely, the Gamma, Generalized Extremal Value, Generalized Logistic, Generalized Normal, Generalized Pareto, Gumbel,...
In this study, we use the method of L-moment to evaluate estimators of the parameters and quantiles of nine probability distributions, namely, the Gamma, Generalized Extremal Value, Generalized Logistic, Generalized Normal, Generalized Pareto, Gumbel, Normal, Pearson Type III and Wakeby distributions. L-moment ratio diagrams for these nine distributions are constructed for extreme historical events at 11 rainfall gaging sites of the Jinan stream, which is a tributary located in the Geum river basin. Comparisons of distributions selected were based on the goodness of fit tests such as probability plot correlation coefficient(PPCC) in fit and root mean square deviation(RMSD) and L-moment ratio diagrams.
The results are found that 4 or 5 parameters Wakeby(WAK) and Pearson Type III(PE3) distributions for frequency analysis provide the best approximation to the extreme rainfall data based on both goodness of fit analysis and L-moment ratio diagrams analysis.