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We introduce a new characterization of Pareto distribution and constructintegral and supremum type goodness-of-fit tests based on it. Limitingdistribution and large deviations of new statistics are described and theirlocal Bahadur efficiency for parametric alternatives is calculated. Conditionsof local optimality of new statistics are given.

On asymptotic efficiency of goodness-of-fit tests for the Pareto distribution based on its characterization