A robust modification of the Jarque–Bera test of normality

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Birnbaum-Saunders spatial regression models: Diagnostics and application to chemical data (2018, methodology): “When using the robust Jarque-Beran test (Gel and Gastwirth, 2008; Stehlı́k t al., 2014), we obtain a p-value less than 0.0001 for the full data set and a p-value of 0.03 for the data set with the mentioned four values removed, that is, we pass from a highly significant result to a non-significant…”
An empirical power comparison of univariate goodness-of-fit tests for normality (2010, background): “The Gel–Miao–Gastwirth test Gel, Miao and Gastwirth [86] have recently proposed a directed normality test, which focuses on detecting heavier tails and outliers of symmetric distributions.”