33 citations · 36 across the 10 of their papers we have counts for
13 papers
Directional Asymmetry in Edge BasedSpatial Models via a Skew Normal Prior
Danna L. Cruz-Reyes, Renato M. Assunção, Reinaldo B. Arellano-Valle +1
We introduce a skewed edge based spatial prior, named RENeGe sk that extends the Gaussian RENeGe framework by incorporating directional asymmetry through a skew normal distribution…
Multivariate Unified Skew-t Distributions And Their Properties
Kesen Wang, Maicon J. Karling, Reinaldo B. Arellano-Valle +1
The unified skew-t (SUT) is a flexible parametric multivariate distribution that accounts for skewness and heavy tails in the data. A few of its properties can be found scattered i…
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…
Sub-dimensional Mardia measures of multivariate skewness and kurtosis
Joydeep Chowdhury, Subhajit Dutta, Reinaldo B. Arellano-Valle +1
The Mardia measures of multivariate skewness and kurtosis summarize the respective characteristics of a multivariate distribution with two numbers. However, these measures do not r…
Tractable Bayes of Skew-Elliptical Link Models for Correlated Binary Data
Zhongwei Zhang, Reinaldo B. Arellano-Valle, Marc G. Genton +1
Correlated binary response data with covariates are ubiquitous in longitudinal or spatial studies. Among the existing statistical models the most well-known one for this type of da…
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…
Non-Gaussian Geostatistical Modeling using (skew) t Processes
M. Bevilacqua, C. Caamaño, R. B. Arellano Valle +1
We propose a new model for regression and dependence analysis when addressing spatial data with possibly heavy tails and an asymmetric marginal distribution. We first propose a sta…
Discriminant functions arising from selection distributions: theory and simulation
Reinaldo B. Arellano-Valle, Javier E. Contreras-Reyes
The assumption of normality in data has been considered in the field of statistical analysis for a long time. However, in many practical situations, this assumption is clearly unre…
Growth curve based on scale mixtures of skew-normal distributions to model the age-length relationship of Cardinalfish (Epigonus Crassicaudus)
Javier E. Contreras-Reyes, Reinaldo B. Arellano-Valle
Our article presents a robust and flexible statistical modeling for the growth curve associated to the age-length relationship of Cardinalfish (Epigonus Crassicaudus). Specifically…
Errors-in-variables beta regression models
Jalmar M. F. Carrasco, Silvia L. P. Ferrari, Reinaldo B. Arellano-Valle
Beta regression models provide an adequate approach for modeling continuous outcomes limited to the interval (0,1). This paper deals with an extension of beta regression models tha…
Maximum penalized likelihood estimation for skew-normal and skew- distributions
Adelchi Azzalini, Reinaldo B. Arellano-Valle
The skew-normal and the skew- distributions are parametric families which are currently under intense investigation since they provide a more flexible formulation compared to th…
Mixed Beta Regression: A Bayesian Perspective
Jorge I. Figueroa-Zuñiga, Reinaldo B. Arellano-Valle, Silvia L. P. Ferrari
This paper builds on recent research that focuses on regression modeling of continuous bounded data, such as proportions measured on a continuous scale. Specifically, it deals with…