Flexible Class of Skew‐Symmetric Distributions
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Cites background from "Flexible Class of Skew‐Symmetric Di..."
...Recently, Ma and Genton [18], Arellano-Valle et al....
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...Recently, Ma and Genton [18], Arellano-Valle et al. [19] and Rasekhi et al. [20] generalized the normal distribution and obtained uni-bimodal skew-symmetric normal distributions using different procedures....
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8 citations
Cites background from "Flexible Class of Skew‐Symmetric Di..."
...…(Abdulah and Elsalloukh 2013; Arellano-Valle et al. 2005; Arnold et al. 2015; ArellanoValle et al. 2010; Arslan and Genç 2009; Dexter 2015; DiCiccio and Monti 2004; Fernandez et al. 1995; Komunjer 2007; Ma and Genton 2004; Rathie et al. 2016; Zhu and Zinde-Walsh 2009) and references therein....
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8 citations
References
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"Flexible Class of Skew‐Symmetric Di..." refers background or methods in this paper
...This representation has been used by Azzalini & Capitanio (2003) to define certain distributions by perturbation of symmetry....
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...For K = 1, the pdf is always unimodal as was already noted by Azzalini (1985) for the univariate skew-normal distribution....
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...The case K = 1 corresponds to Azzalini & Dalla Valle's (1996) bivariate skew-normal distribution, which cannot capture the bimodality....
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...For K ¼ 1, the pdf is always unimodal as was already noted by Azzalini (1985) for the univariate skew-normal distribution....
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...In particular, for ,il = ,B2 = /33 = & = 0, the pdf is exactly the bivariate skew-normal proposed by Azzalini & Dalla Valle (1996), and known to be unimodal (see Fig....
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"Flexible Class of Skew‐Symmetric Di..." refers background in this paper
...Finally, note that the stochastic representation of FSSdistributions follows from the stochastic representation of SS distributions described byWang et al. (2004), see also Azzalini & Capitanio (2003)....
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...Similarly, multivariate distributions such as skew-t (Branco & Dey, 2001; Azzalini & Capitanio, 2003; Jones & Faddy, 2003; Sahu et al., 2003), skew-Cauchy (Arnold & Beaver, 2000) and other skewelliptical ones (Azzalini & Capitanio, 1999; Branco & Dey, 2001; Sahu et al., 2003) can be represented by…...
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...Jones & Faddy (2003) and Azzalini & Capitanio (2003) fit two forms of skew-t distributions to these data....
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...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....
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