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A new class of skew-symmetric distributions and related families
(TAYLOR & FRANCIS LTD, 4 PARK SQUARE, MILTON PARK, ABINGDON OX14 4RN, OXON, ENGLAND, 2013)
On the unification of families of skew-normal distributions
(BLACKWELL PUBLISHING, 2006)
The distribution theory literature connected to the multivariate skew-normal distribution has grown rapidly in recent years, and a number of extensions and alternative formulations have been put forward. Presently there ...
Bayesian sensitivity analysis and model comparison for skew elliptical models
(ELSEVIER SCIENCE BV, 2006)
In this work we approach the problem of model comparison between skew families. For the univariate skew model, we measure the sensitivity of the skewness parameter using the L-1 distance between symmetric and asymmetric ...
A new class of skew-normal distributions
(TAYLOR & FRANCIS INC, 2004)
We introduce a new family of asymmetric normal distributions that contains Azzalini's skew-normal (SN) distribution as a special case. We study the main properties of this new family, showing in particular that it may be ...
Bayesian inference for skew-normal linear mixed models
(TAYLOR & FRANCIS LTD, 2007)
Linear mixed models (LMM) are frequently used to analyze repeated measures data, because they are more flexible to modelling the correlation within-subject, often present in this type of data. The most popular LMM for ...
A note on the Fisher information matrix for the flexible generalized-skew-normal model
(SPRINGER HEIDELBERG, 2020)
Definition and probabilistic properties of skew-distributions
(ELSEVIER, 2002)
The univariate, and multivariate skew-normal distributions have a number of intriguing properties. It is shown here that these hold for a general class of distributions, defined in terms of independence conditions on signs ...
On the Skew-Normal-Cauchy Distribution
(TAYLOR & FRANCIS INC, 2011)
In this article, we study further properties of a skew normal distribution, called the skew-normal-Cauchy (SNC) distribution by Nadarajah and Kotz (2003). A stochastic representation is obtained which allows alternative ...
Bayesian sensitivity analysis and model comparison for skew elliptical models
(Elsevier B.V., 2007)
LIKELIHOOD BASED INFERENCE FOR SKEW-NORMAL INDEPENDENT LINEAR MIXED MODELS
(STATISTICA SINICA, 2010)
Linear mixed models with normally distributed response are routinely used in longitudinal data. However, the accuracy of the assumed normal distribution is crucial for valid inference of the parameters We present a new ...