More on the Supremum Statistic to Test Multivariate Skew-Normality

Date

2021-11-29

Authors

Opheim, Timothy
Roy, Anuradha

Journal Title

Journal ISSN

Volume Title

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Abstract

This review is about verifying and generalizing the supremum test statistic developed by Balakrishnan et al. Exhaustive simulation studies are conducted for various dimensions to determine the effect, in terms of empirical size, of the supremum test statistic developed by Balakrishnan et al. to test multivariate skew-normality. Monte Carlo simulation studies indicate that the Type-I error of the supremum test can be controlled reasonably well for various dimensions for given nominal significance levels 0.05 and 0.01. Cut-off values are provided for the number of samples required to attain the nominal significance levels 0.05 and 0.01. Some new and relevant information of the supremum test statistic are reported here.

Description

Keywords

Monte Carlo simulations, multivariate skewness, skew-normal distribution, supremum test

Citation

Computation 9 (12): 126 (2021)

Department

Management Science and Statistics