10.1371/journal.pone.0233901.g003 Agnieszka Wyłomańska Agnieszka Wyłomańska D. Robert Iskander D. Robert Iskander Krzysztof Burnecki Krzysztof Burnecki Power of the introduced test and standard tests for normality for different sample sizes: <i>N</i> = 50, <i>N</i> = 100; <i>N</i> = 200 and <i>N</i> = 1000 for the generalized Gaussian distribution with respect to the excess kurtosis. Public Library of Science 2020 hypothesis tests test statistic probability distribution novel approach signal processing techniques data examples leptokurtic ones platykurtic distributions testing normality Edgeworth expansion Statistical inference Omnibus test Edgeworth expansion sample sizes confidence intervals time series leptokurtic distributions 2020-06-11 20:06:02 Figure https://plos.figshare.com/articles/figure/Power_of_the_introduced_test_and_standard_tests_for_normality_for_different_sample_sizes_i_N_i_50_i_N_i_100_i_N_i_200_and_i_N_i_1000_for_the_generalized_Gaussian_distribution_with_respect_to_the_excess_kurtosis_/12469373 <p>Powers were calculated on the basis of 5000 simulations. The significance level is equal to 5%.</p>