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arxiv: 1605.06293 · v2 · pith:C3IXF3TInew · submitted 2016-05-20 · 📊 stat.CO · stat.ME

The performance of univariate goodness-of-fit tests for normality based on the empirical characteristic function in large samples

classification 📊 stat.CO stat.ME
keywords empiricaltestscharacteristicfunctionnormalitylargesamplestest
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An empirical power comparison is made between two tests based on the empirical characteristic function and some of the best performing tests for normality. A simple normality test based on the empirical characteristic function calculated in a single point is shown to outperform the more complicated Epps-Pulley test and the frequentist tests included in the study in large samples.

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