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Farrell, P.J., Salibian-Barrera, M. & Naczk, K., 2007. On tests for multivariate normality and associated simulation studies. JOURNAL OF STATISTICAL COMPUTATION AND SIMULATION, 77, pp.1053-1068.
Joe, H. & Maydeu-Olivares, A., 2006. On the asymptotic distribution of Pearson's $X^2$ in cross-validation samples. Psychometrika, 71, pp.587-592.