Abstract
Recently, Alizadeh and Shafaei [Alizadeh Noughabi H, Shafaei Noughabi M. Varentropy estimators with applications in testing uniformity. J Stat Comput Simul. 2023;93:2582–2599] introduced some estimators for varentropy of a continuous random variable. The present article applies these estimators and construct some tests for normality. Percentage points of the new test statistics are obtained and then power values of the proposed tests against various alternatives are computed. The results of a simulation study show that the tests have a good performance in terms of power. Finally, a real data set is used to illustrate the application of the proposed tests.
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