When analyzing extreme rainfall data, why is the Log-Pearson Type III distribution often preferred over the Gumbel distribution for basins in regions experiencing very rare, exceptionally heavy rainfall events?

When analyzing extreme rainfall data, which refers to the largest observed rainfall amounts over specific periods like annual maxima, the Log-Pearson Type III (LP3) distribution is often preferred over the Gumbel distribution for basins in regions experiencing very rare, exceptionally heavy rainfall events due to its superior flexibility in modeling the shape of the data, particularly its skewness. The Gumbel distribution, also known as the Type I extreme value distribution, is a two-parameter probability distribution widely used for modeling extreme events. It assumes a fixed shape for the distribution of extreme values, meaning its coefficient of skewness, a statistical measure of the asymmetry of the data distribution, is inherently constant at approximately 1.139. While the Gumbel distribution is simple to apply and provides a reasonable fit for many datasets, this fixed skewness becomes a signifi....