The wrapped skew-normal distribution on the circle
By Arthur Pewsey. 2000
79 citations recorded by the source corpus.
Subfields: Artificial Intelligence, Statistics and Probability
View Paper: https://www.semanticscholar.org/paper/6cc89c91edbf5ee794191ab41a7e705f51113788
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Artificial Intelligence
- Shogo Kato
- M. Chris Jones
- Adelchi Azzalini
- Arthur Pewsey
- Barry C. Arnold
- Gwo Dong Lin
- Toshihiro Abe
- Christophe Ley
In Statistics and Probability
- Adelchi Azzalini
- M. Chris Jones
- Marc G. Genton
- Arjun K. Gupta
- Arthur Pewsey
- Shogo Kato
- Truc T. Nguyen
- Jose Almer T. Sanqui
Citations in the corpus
- A Family of Distributions on the Circle With Links to, and Applications Arising From, Möbius Transformation (2010, methodology): “The wrapped skew-normal distribution (Pewsey 2000, 2006) is a three-parameter asymmetric circular model that can be obtained by wrapping Azzalini’s (1985) skew-normal distribution on the real line.”
- Characterization of the skew-normal distribution (2004, background): “The statistical inference aspect for this distribution is partially addressed in Azzalini and Capitanio (1999), Pewsey (2000a), Salvan (1986) and Liseo (1990).”
- The Skew‐normal Distribution and Related Multivariate Families * (2005, background): “These unusual aspects of the likelihood function and of the expected Fisher information matrix have been discussed by Azzalini (1985), Chiogna (1997), Azzalini & Capitanio (1999) and Pewsey (2000a).”
- Sine-skewed circular distributions (2011, unknown): “Examples of skew-symmetric models generated in this way are the wrapped stable (Mardia 1972; Pewsey 2008), wrapped skew-normal ( Pewsey 2000 ) and wrapped Laplace (Jammalamadaka and Kozubowski 2003) classes of distributions.”
- Testing circular symmetry (2002, methodology): “As asymmetric alternatives, we used the wrapped exponential distribution and three cases of the wrapped skew-normal distribution on the circle (WSNC) of Pewsey (2000). The density of the WSNC distribution is given by”
- Characterizations of the skew-normal and generalized chi distributions (2004, background): “Pewsey (2000, 2003) gives the characteristic function in part (f) by solving dierential equations.”