GOODNESS-OF-FIT TESTS FOR THE SKEW-NORMAL DISTRIBUTION

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On matrix variate skew-normal distributions (2005, methodology): “For the application of the multivariate skew normal distributions, Azzalini and Capitanio 13 used the model to analyse a set of sport data, Gupta and Chen 14 applied the univariate model to study a set of epidemiology data on disease occurrence rates in twins.”
Shapiro–Wilk test for skew normal distributions based on data transformations (2019, methodology): “Gupta and Chen [34] applied Pearson’s chi-squared and Kolmogorov–Smirnov statistics for testing the simple hypothesis of a skew normal distribution with known parameters.”
A class of multivariate skew-normal models (2004, background): “For Definition 2, Gupta and Chen (2001, 2003) observed that if Y1,..., Yk constitute a random sample from skew normal population SN(A), the distribution of y = (Y1,..., Yk)' is not included in SN2(k, f~, ~_).”
Characterization of the skew-normal distribution (2004, background): “Gupta and Chen (2001) tabulated the c.d.f, of the S N ( ) 0 distribution and illustrated the use of their table in goodness-of-fit testing for this distribution.”