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Asymptotic expansions of density of normalized extremes from logarithmic general error distribution
Authors:Shouquan Chen  Lingling Du
Affiliation:School of Mathematics and Statistics, Southwest University, Chongqing, China
Abstract:Logarithmic general error distribution is an extension of the log-normal distribution. In this paper, the asymptotic expansions of densities of normalized maximum from logarithmic general error distribution are derived under two different kinds of normalized constants. By applying the main results, the higher-order expansions of moments of maxima are established.
Keywords:Density expansion  expansion of moment  extreme value distribution  logarithmic general error distribution
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