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We define minimum distance estimators for the parameters of the extreme value distribution Go based on the Cramer-von-Mises distance. These estimators are rather robust and consistent, but asymptotically less efficient than the maximum likelihood estimators which are not robust. A small simulation study for finite sample size show that under Go the finite efficiency of the minimum distance estimators is rather similar to the maximum likelihood ones.
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Dietrich et al. (1996) studied this question.
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