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Asymptotic expansions of density of normalized extremes from logarithmic general error distribution

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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… Click to show full abstract

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: asymptotic expansions; logarithmic general; general error; error distribution; distribution

Journal Title: Communications in Statistics - Theory and Methods
Year Published: 2017

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