The Skew-normal Distribution and Related Multivariate Families.
Citations
547 citations
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348 citations
Additional excerpts
...In Section 4 we conclude....
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348 citations
Cites background from "The Skew-normal Distribution and Re..."
...For reviews of the research work produced in this area, see Arnold & Beaver (2002), Genton (2004) and Azzalini (2005)....
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291 citations
References
8,058 citations
"The Skew-normal Distribution and Re..." refers background in this paper
...This Z has the structure of the random term appearing in a stream of econometric literature dealing with stochastic frontier analysis; a leading paper is Aigner et al. (1977)....
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4,162 citations
4,051 citations
2,470 citations
"The Skew-normal Distribution and Re..." refers background or methods or result in this paper
...Lemma 1 appears in Azzalini (1985), in the special case w(y) = ocy, where a is a constant; some implications are given in Azzalini (1986)....
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...Many of the above results have appeared in Azzalini & Dalla Valle (1996) and in Azzalini & Capitanio (1999), where the focus is on the case z = 0....
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...An initial exploration of the use of (12) with fo of type (31) has been done by Azzalini & Capitanio (1999). Proceeding along a different route, Branco & Dey (2001) start from a (d + 1)-dimensional variable U = (Uo, UT)T with location and scale parameters as in (21) but with assumption of normality replaced the one of elliptical form Ell(0, Q*, j(d+1))....
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...The extended version (7) has been considered briefly in Azzalini (1985) and more extensively in Arnold et al. (1993)....
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...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)....
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2,106 citations
"The Skew-normal Distribution and Re..." refers background in this paper
...For a detailed account on elliptical distributions, see Fang et al. (1990)....
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