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math.ST2023
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…
stat.ME2023
On the use of ordered factors as explanatory variables
Adelchi Azzalini
Consider a regression or some regression-type model for a certain response variable where the linear predictor includes an ordered factor among the explanatory variables. The inclu…
math.ST2023
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…