Extensions of True Skewness for Unimodal Distributions

A 2022 paper [7] introduced the notion of true positive andnegative skewness for continuous random variables via Fréchet \(p\) -means. In this work, we find novel criteria for true skewnessand establish true skewness for the Weibull, Lévy, andskew-normal distributions. Furthermore, some relevant propertiesof the \(p\) -means of random variables are established.