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Moments convergence of powered normal extremes

Statistics Theory 2016-07-11 v1 Statistics Theory

Abstract

In this paper, convergence for moments of powered normal extremes is considered under an optimal choice of normalizing constants. It is shown that the rates of convergence for normalized powered normal extremes depend on the power index. However, the dependence disappears for higher-order expansions of moments.

Keywords

Cite

@article{arxiv.1607.02245,
  title  = {Moments convergence of powered normal extremes},
  author = {Tingting Li and Zuoxiang Peng},
  journal= {arXiv preprint arXiv:1607.02245},
  year   = {2016}
}