Design rainfall estimation using exponentiated and mixed exponentiated distributions in the Coast of Chiapas.

Abstract

The assessment of extreme precipitation is an important problem in hydrologic risk analysis and design. One of the objectives in hydrologic analysis is the statistical uncertainty reduction of design events. In this paper, Gumbel, Weibull, and Frechét exponentiated distributions, along with three more mixed exponentiated distributions are used to model the annual maximum daily rainfall from 19 gauging stations located on the coast of Chiapas. In general, mixed exponentiated distributions provided the best fits and they were measured using the standard likelihood ratio. It was also shown that it is very important to consider the exponentiated and mixed exponentiated distributions as additional mathematical tools when modeling hydrometeorological series.