On Asymptotic Efficiency of Goodness of Fit Tests for Pareto Distribution Based on Characterizations

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...

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Veröffentlicht in:Filomat 2015-01, Vol.29 (10), p.2311-2324
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description 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.
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subjects Distribution functions
Goodness of fit
Pareto efficiency
Statistical theories
Statistics
title On Asymptotic Efficiency of Goodness of Fit Tests for Pareto Distribution Based on Characterizations
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