Skew‐normal distributions extend the traditional normal model by incorporating a parameter that accounts for asymmetry, thereby providing a more flexible framework for modelling real‐world data.

In this paper the multivariate skew normal distribution, introduced by Azzalini and Dalla Valle (1996), is used as a basis in density expansions. A short summary of main properties of the distribution ...

Data from many applied fields exhibit both heavy tail and skewness behavior. For this reason, in the last few decades, there has been a growing interest in exploring parametric classes of ...

The Central Limit Theorem is a statistical concept applied to large data distributions. It says that as you randomly sample data from a distribution, the means and standard deviations of the samples ...