Skewed multivariate models related to hidden truncation and/or selective reporting

By Barry C. Arnold, R. Beaver, Adelchi Azzalini, Narayanaswamy Balakrishnan, A. Bhaumik, Dipak K. Dey, C. Cuadras, José María Sarabia. 2002

284 citations recorded by the source corpus.

Subfields: Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/a2b59166fc72175d40fcc882410e0548995e30dd

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In Statistics and Probability

Citations in the corpus

Skew-symmetric distributions and Fisher information -- a tale of two densities (2012, methodology): “For further information about skew-symmetric models and related topics, we refer the reader to the recent monograph by Genton [14], and to the review papers Arnold and Beaver [2] and Azzalini [5].”
T-normal family of distributions: a new approach to generalize the normal distribution (2014, unknown): “Various extensions of SN(λ) have been proposed and studied (e.g., Arellano-Valle et al. 2004; Arnold and Beaver 2002; Arnold et al. 2007; Choudhury and Abdul 2011; Balakrishnan 2002; Gupta and Gupta 2004; Sharafi and Behboodian 2008; Yadegari et al. 2008).”
Construction of multivariate distributions: a review of some recent results (2008, background): “A general treatment of the hidden truncation mechanism (37)is found in Arnold and Beaver (2002).”
SKEW-NORMALITY IN STOCHASTIC FRONTIER ANALYSIS (2003, background): “(3) Arnold and Beaver (2000, 2002a, 2002b) describe several procedures that lead to skew densities, all of them cover the skew normal as a special case.”
On the Unification of Families of Skew‐normal Distributions (2006, background): “For reviews of the research work produced in this area, see Arnold & Beaver (2002), Genton (2004) and Azzalini (2005).”
On Families of Distributions with Shape Parameters (2015, unknown): “Indeed, many publications on that topic (e.g. Branco & Dey, 2001, Arnold & Beaver, 2002, Azzalini & Capitanio, 2003, Arellano-Valle & Genton, 2005, Arellano-Valle, Branco & Genton, 2006, Kim, 2008) work in the multivariate case because it adds little more than notational complexity.”
A new class of multivariate skew distributions with applications to bayesian regression models (2003, background): “The resulting models are often called the hidden truncation models; see, e.g., Arnold & Beaver (2000, 2002).”
Locally Efficient Semiparametric Estimators for Generalized Skew-Elliptical Distributions (2005, unknown): “Another way to view such data is through a hidden truncation model (Arnold and Beaver 2002).”
A SKEW-SYMMETRIC REPRESENTATION OF MULTIVARIATE DISTRIBUTIONS (2002, unknown): “For instance, multivariate distributions such as skew-Cauchy (Arnold and Beaver (2000)), skew-t (Branco and Dey (2001), Azzalini and Capitanio (2003), Sahu, Dey and Branco (2003)), skew-logistic (Wahed and Ali (2001)), and other skew-elliptical ones (Azzalini and Capitanio (1999), Branco and Dey (20”
Characterization of the skew-normal distribution (2004, background): “The works of Azzalini and Dalla Valle (1996), Azzalini and Capitanio (2003), Arnold et al. (1993), Arnold and Beaver (2002), Gupta et al. (2002a) and Branco and Dey (2001) focused on the theoretical developments of various extensions and multivariate generalizations of the model.”
A Constructive Representation of Univariate Skewed Distributions (2006, methodology): “This approach underlies the general classes of skewed distributions generated by, for example, hidden truncation models (see, e.g., Azzalini, 1985; Arnold and Beaver 2002), inverse scale factors in the positive and negative orthants (Fernández and Steel 1998), and order statistics (Jones 2004).”