English

Second-order asymptotics for convolution of distributions with light tails

Probability 2015-05-22 v2

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.

Keywords

Cite

@article{arxiv.1505.03768,
  title  = {Second-order asymptotics for convolution of distributions with light tails},
  author = {Zuoxiang Peng and Xin Liao},
  journal= {arXiv preprint arXiv:1505.03768},
  year   = {2015}
}

Comments

22 pages

R2 v1 2026-06-22T09:34:19.993Z