The skew-Cauchy distribution

By Barry C. Arnold, R. Beaver. 2000

148 citations recorded by the source corpus.

Subfields: Applied Mathematics, Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/5a4c3b0d22bfa418c2aaa04875df8005fe40ce14

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In Applied Mathematics

In Management Science and Operations Research

In Statistics and Probability

Citations in the corpus

A unified view on skewed distributions arising from selections (2006, background): “Other particular skew-elliptical distributions include skew-Cauchy (Arnold & Beaver 2000b), skew-logistic (Wahed & Ali 2001), skew-exponential power (Azzalini 1986), and skew-slash (Wang & Genton 2006).”
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…”
Distributions generated by perturbation of symmetry with emphasis on a multivariate skew t‐distribution (2003, methodology): “A tractable instance of this setting is offered by the skew Cauchy distribution and its variants discussed by Arnold and Beaver (2000b) , using a univariate . Exploration of other cases along the direction sketched above seems very interesting but far beyond the scope of the present paper.”
On fundamental skew distributions (2005, unknown): “For instance, multivariate distributions such as skew-Cauchy [3], skew-t [8,11,21,26] , skew-logistic[27], and”
Multivariate Symmetry and Asymmetry (2006, background): “This approach began with Azzalini [4], [5] in the univariate case and its extension to the multivariate case is in active current development (see [1], [2], [6], [7], [8], [16], [31], for example).”
A new class of weighted exponential distributions (2009, methodology): “Interpretation 2 This model can be obtained as a hidden truncation model as it was observed by Arnold and Beaver [5] in case of skew-normal distribution.”
Flexible Class of Skew‐Symmetric Distributions (2004, background): “If each term has an odd order (all ks are odd), then the polynomial is called an odd polynomial, whereas if each term has an even order (all ks are even), it is called an even polynomial.”
Robust stochastic frontier analysis: a Student’s t-half normal model with application to highway maintenance costs in England (2019, background): “This is also the case for the skew Cauchy distribution (Arnold and Beaver, 2000), for which only fractional moments exist.”
Generalized skew-Cauchy distribution ☆ (2007, methodology): “The multivariate skew-Cauchy distribution and multivariate skew t-distribution are studied by Arnold and Beaver (2000), and Gupta (2003), respectively.”
Bimodal extension based on the skew‐normal distribution with application to pollen data (2011, background): “Azzalini (1986) also discusses the stochastic representation and studies more general models than the skew-normal model.”
The multivariate skew-slash distribution (2006, background): “MSC: 60E05; 62H05 Keywords: Cauchy; Configural polysampling; Kurtosis; Multivariate distributions; Skewness; Skew-normal; Slash”
Skew scale mixtures of normal distributions: Properties and estimation (2011, background): “For instance, one can define skew-t distributions (Sahu, Dey and Branco, 2003), skew-Cauchy distributions (Arnold and Beaver, 2000), skew-slash distributions (Wang and Genton, 2006), skew-slash-t distributions (Tan and Peng, 2006), skew-elliptical distributions (Azzalini and Capitanio, 1999; Branco…”