1.3k citations · 2.6k across the 16 of their papers we have counts for
18 papers
On the use of splines for representing ordered factors
Adelchi Azzalini
In the context of regression-type statistical models, the inclusion of some ordered factors among the explanatory variables requires the conversion of qualitative levels to numeric…
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 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…
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…
A formulation for continuous mixtures of multivariate normal distributions
Reinaldo B. Arellano-Valle, Adelchi Azzalini
Several formulations have long existed in the literature in the form of continuous mixtures of normal variables where a mixing variable operates on the mean or on the variance or o…