## Power of the introduced test and standard tests for normality for different sample sizes: *N* = 50, *N* = 100; *N* = 200 and *N* = 1000, for the mixed Gaussian distribution with respect to the excess kurtosis.

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posted on 11.06.2020 by Agnieszka Wyłomańska, D. Robert Iskander, Krzysztof Burnecki#### figure

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Powers were calculated on the basis of 5000 simulations. The significance level is equal to 5%.

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hypothesis teststest statisticprobability distributionnovel approachsignal processing techniquesdata examplesleptokurtic onesplatykurtic distributionstesting normalityEdgeworth expansion Statistical inferenceOmnibus testEdgeworth expansionsample sizesconfidence intervalstime seriesleptokurtic distributions

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hypothesis teststest statisticprobability distributionnovel approachsignal processing techniquesdata examplesleptokurtic onesplatykurtic distributionstesting normalityEdgeworth expansion Statistical inferenceOmnibus testEdgeworth expansionsample sizesconfidence intervalstime seriesleptokurtic distributions