DIVERGENCE CRITERIA IN EXTREME RAINFALL SERIES FREQUENCY ANALYSES

The criteria of divergence of the quantile functions of various probability distribution functions (pdf) used in frequency analyses of extreme rainfall series are depicted, necessary and sufficient conditions for divergence of the quantile functions and ultimately of the depth-duration frequency curves are analytically deduced, scaling relationships between conventional statistics and rainstorm durations and between probability-weighted moments and rainstorm durations are investigated, necessary adjustments to the parameters of four commonly-used pdf are shown.