On Srivastava's multivariate sample skewness and kurtosis under non-normality

This paper is concerned with asymptotic behavior of sample skewness and kurtosis. The asymptotic expansions under non-normality are obtained for the sample measures of multivariate skewness and kurtosis defined by Srivastava [1984. A measure of skewness and kurtosis and a graphical method for assessing multivariate normality, Statist. Probab. Lett. 2, 263–267.].