The Gumbel Mixed Model Applied to Storm Frequency Analysis

A bivariate extreme value distribution, namely theGumbel mixed model constructed from Gumbel marginaldistributions is employed to analyze the joint distributionof correlated storm peak (maximum rainfall intensity) andamount. Based on its marginal distributions, the jointdistribution, the conditional probability distribution, andthe associated return periods can be deduced. Parameters ofthe bivariate distribution model are estimated based on itsmarginal distributions by the method of moments (MM). Theusefulness of the model is demonstrated by using it torepresent multivariate storm events at the Niigatameteorological station in Japan. Copyright Kluwer Academic Publishers 2000