Second-order asymptotics for convolution of distributions with light tails

Published 14 May 2015 in math.PR | (1505.03768v2)

Abstract: In this paper, asymptotic behavior of convolution of distributions belonging to two subclasses of distributions with exponential tails are considered, respectively. The precise second-order tail asymptotics of the convolutions are derived under the condition of second-order regular variation.

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