Abstract #301389

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JSM 2003 Abstract #301389
Activity Number: 54
Type: Contributed
Date/Time: Sunday, August 3, 2003 : 4:00 PM to 5:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #301389
Title: A Semiparametric Class of Generalized Skew-Elliptical Distributions
Author(s): Yanyuan Ma*+ and Marc G. Genton
Companies: North Carolina State University and North Carolina State University
Address: 1013 Avent Hill A4, Raleigh, NC, 27606,
Keywords: invariance ; kurtosis ; multimodality ; skewness ; stochastic representation ; dense subset
Abstract:

We present a semiparametric representation of generalized skew-elliptical distributions for which the probability density function has the form of a product of an elliptical pdf and a skewing function. By constructing an enumerable dense subset of the skewing function, we are able to define a flexible family of distributions which can capture skewness, heavy tails, and multimodality systematically. It is straightforward to simulate from this family which possesses several invariance properties. We present illustrative examples on fiber-glass and Australian athletes data, as well as on simulated data from a mixture of two normal distributions.


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