The Kolmogorov-Smirnov goodness of fit test for discrete extreme value distributions

In environmental sciences studies, the extreme value theory is used for the evaluation of several complex occurring phenomena, e.g., natural calamities, meteorology and pollution studies. When the observed values are discrete, like count measurements, the discrete extreme value distributions should be applied. In this paper we propose a procedure to construct a goodness of fit test for discrete extreme variables. We find the exact critical values of the test statistic for extreme values from uniform discrete and binomial distributions for finite sample sizes.