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Activity Number: 26
Type: Contributed
Date/Time: Sunday, July 29, 2007 : 2:00 PM to 3:50 PM
Sponsor: General Methodology
Abstract - #309667
Title: The Skew Generalized Secant Hyperbolic Distribution and Its Properties
Author(s): David Vaughan*+
Companies: Wilfrid Laurier University
Address: 75 University Avenue West, Waterloo, ON, N2L 3C5, Canada
Keywords: generalized secant hyperbolic ; skewness ; model selection
Abstract:

Empirical studies, especially in finance, have shown that skew error distributions (typically with non-normal kurtosis) are common. The Generalized Secant Hyperbolic (GSH) is a symmetric class of distributions that has all moments finite (in contrast to Student's t), and with kurtosis ranging across all regular unimodal distributions. In this paper, skewness is introduced to the GSH in a natural way. Fundamental properties of the Skew Generalized Secant Hyperbolic (SGSH) and some basic model selection methods are discussed. This approach is contrasted with other methods for introducing skewness to symmetric distributions.


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Revised September, 2007