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arxiv: 1505.03768 · v2 · pith:MR4M2GDOnew · submitted 2015-05-14 · 🧮 math.PR

Second-order asymptotics for convolution of distributions with light tails

classification 🧮 math.PR
keywords distributionssecond-orderasymptoticsconvolutiontailsasymptoticbehaviorbelonging
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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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