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Skew Models I
Authors:Saralees Nadarajah and Samuel Kotz
Affiliation:(1) School of Mathematics, University of Manchester, Manchester, M13 9PL, UK;(2) Department of Engineering Management and Systems Engineering, George Washington University, Washington, DC 20052, USA
Abstract:If g and G are the pdf and the cdf of a distribution symmetric around 0 then the pdf 2g(u)G(λ u) is said to define a skew distribution. In this paper, we provide a mathematical treatment of the skew distributions when g and G are taken to come from one of Laplace, logistic, Student’s t, uniform, exponential power or the Bessel function distribution.
Keywords:Bessel function distribution  Exponential power distribution  Laplace distribution  Logistic distribution  Skew distributions  Student’  s t distribution  Uniform distribution
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