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Tail Behavior and Extremes of Short-Tailed Symmetric Distribution
Authors:Lin Fuming  Peng Zuoxiang
Institution:1. School of Science , Sichuan University of Science and Engineering , Sichuan, China zigonglfm2006@yahoo.com.cn;3. School of Mathematics and Statistics , Southwest University , Chongqing, China
Abstract:Tiku and Vaughan (1999 Tiku , M. L. , Vaughan , D. C. ( 1999 ). A Family of Short-tailed Symmetric Distributions. Technical Report, McMaster University, Canada . Google Scholar]) introduced a short-tailed symmetric family recently. In the article, the tail properties of the short-tailed symmetric distribution are studied and the asymptotic distribution of the maximum of i.i.d. random variables obeying the short-tailed distribution is gained.
Keywords:Extreme value distribution  Short-tailed  Symmetric distributions  Tail properties
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