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In this paper we present a characterization for Pareto distribution. We propose two new goodness of fit tests based on this characterization and two tests based on Rossberg's characterization. We calculate their Bahadur efficiencies against different alternatives and compare the tests. We also find a class of locally optimal alternatives for each test.doi:10.2298/fil1510311o fatcat:qpa5iqnh2bgsnj3z5zbquftxjm