Abstract
The logarithmically transformed extreme value type 1 (LEV 1) distribution is the log-Gumbel distribution. The logarithmic version of EV 1 distribution is not as popular as the original EV 1 distribution. Reich (1970) employed log-Gumbel distribution to analyze annual series of maximum instantaneous flood peaks from 26 Pennsylvanian watersheds smaller than 200 square miles in area. He found consistently overestimation of long-period extremes from use of the log-Gumbel distribution. Using the principle of maximum entropy Singh (1985) derived the log-Gumbel distribution and its parameters. Heo and Salas (1996) estimated quantiles and confidence intervals for the log-Gumbel distribution. They used the methods of moments, maximum likelihood and probability weighted moments for parameter estimation.
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