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The information matrix of the bivariate extended skew-normal distribution
Stefano Franco, Adelchi Azzalini
For the extended skew-normal distribution, which represents an extension of the normal (or Gaussian) distribution, we focus on the properties of the log-likelihood function and der…
On the non-identifiability of unified skew-normal distributions
Kesen Wang, Reinaldo B. Arellano-Valle, Adelchi Azzalini +1
In this note, we investigate the non-identifiability of the multivariate unified skew-normal distribution under permutation of its latent variables. We show that the non-identifiab…
Some properties of the unified skew-normal distribution
Reinaldo B. Arellano-Valle, Adelchi Azzalini
For the family of multivariate probability distributions variously denoted as unified skew-normal, closed skew-normal and other names, a number of properties are already known, but…
On nomenclature for, and the relative merits of, two formulations of skew distributions
Adelchi Azzalini, Ryan P. Browne, Marc G. Genton +1
We examine some distributions used extensively within the model-based clustering literature in recent years, paying special attention to} claims that have been made about their rel…