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Bayesian modeling using a class of bimodal skew-elliptical distributions
(ELSEVIER SCIENCE BV, 2009)
We consider Bayesian inference using an extension of the family of skew-elliptical distributions studied by Azzalini [1985. A class of distributions which includes the normal ones. Scand. J. Statist. Theory and Applications ...
Epsilon Birnbaum-Saunders distribution family: properties and inference
(SPRINGER, 2011)
In this paper we introduce a new extension for the Birnbaum-Saunder distribution based on the family of the epsilon-skew-symmetric distributions studied in Arellano-Valle et al. (J Stat Plan Inference 128(2):427-443, 2005). ...
Multivariate Skew-Normal Generalized Hyperbolic distribution and its properties
(Elsevier IncSan DiegoEUA, 2014)
On fundamental skew distributions
(ELSEVIER INC, 2005)
A new class of multivariate skew-normal distributions, fundamental skew-normal distributions and their canonical version, is developed. It contains the product of independent univariate skew-normal distributions as a special ...
Nonlinear Regression Models Under Skew Scale Mixtures Of Normal Distributions
(Elsevier Science BVAmsterdam, 2016)
A reparametrization of triangular distribution based on the skew-symmetric distributions
(UNIVERSIDAD NACIONAL DE COLOMBIA, 2009)
Robust linear mixed models with skew-normal independent distributions from a Bayesian perspective
(ELSEVIER SCIENCE BV, 2009)
Linear mixed models were developed to handle clustered data and have been a topic of increasing interest in statistics for the past 50 years. Generally. the normality (or symmetry) of the random effects is a common assumption ...
Bayesian nonlinear regression models with scale mixtures of skew-normal distributions: Estimation and case influence diagnostics
(ELSEVIER SCIENCE BV, 2011)
The purpose of this paper is to develop a Bayesian analysis for nonlinear regression models under scale mixtures of skew-normal distributions. This novel class of models provides a useful generalization of the symmetrical ...
Multivariate measurement error models based on scale mixtures of the skew-normal distribution
(TAYLOR & FRANCIS LTD, 2010)
Scale mixtures of the skew-normal (SMSN) distribution is a class of asymmetric thick-tailed distributions that includes the skew-normal (SN) distribution as a special case. The main advantage of these classes of distributions ...