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Activity Number: 424
Type: Contributed
Date/Time: Tuesday, August 6, 2013 : 2:00 PM to 3:50 PM
Sponsor: Section on Nonparametric Statistics
Abstract - #308361
Title: A Stochastic Representation for the Lp-Norm Symmetric Distribution and Its Applications
Author(s): Jiajuan Liang*+
Companies: University of New Haven
Keywords: lp-norm symmetric distribution ; statistical simulation ; stochastic representation ; uniform design
Abstract:

The family of lp-norm symmetric distributions was proposed by Yue and Ma (1995) and is a natural generalization to the family of l1-norm symmetric distributions studied by Fang, Kotz and Ng (1990). In this paper, we propose a stochastic representation for the lp-norm symmetric distribution for any constant p>0. The stochastic representation is expressed by a function of independent and identically distributed uniform U(0,1) random variables. It is illustrated that the stochastic representation can be applied to statistical simulation and uniform experimental design.


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