English

Estimating the mean of a heavy-tailed distribution under random censoring

Statistics Theory 2015-07-19 v1 Statistics Theory

Abstract

The central limit theorem introduced by Stute [The central limit theorem under random censorship. Ann. Statist. 1995; 23: 422-439] does not hold for some class of heavy-tailed distributions. In this paper, we make use of the extreme value theory to propose an alternative estimating approach of the mean ensuring the asymptotic normality property. A simulation study is carried out to evaluate the performance of this estimation procedure

Keywords

Cite

@article{arxiv.1507.03178,
  title  = {Estimating the mean of a heavy-tailed distribution under random censoring},
  author = {Louiza Soltane and Djamel Meraghni and Abdelhakim Necir},
  journal= {arXiv preprint arXiv:1507.03178},
  year   = {2015}
}

Comments

arXiv admin note: text overlap with arXiv:1302.1666