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Title: Test for multivariate normality based on new characterization Authors:  Marko Obradovic - University of Belgrade (Serbia) [presenting]
Bojana Milosevic - University of Belgrade (Serbia)
Wiktor Ejsmont - University of Science and Technology Wroclaw (Poland)
Abstract: The standard multivariate normal distribution is characterized by a certain linear combination being constant on a unit n-sphere. Based on this characterization, some normality tests are constructed. The main emphasis is on the null hypothesis of multivariate normal distribution with diagonal covariance matrix. We explore the asymptotic properties and perform a simulation study. We also consider the case of a general covariance matrix. The tests perform well in comparison to some popular powerful competitors. Potential applications are also discussed.