English

Nonparametric kernel estimation of Weibull-tail coefficient in presence of the right random censoring

Methodology 2021-10-12 v1 Statistics Theory Computation Statistics Theory

Abstract

In this paper, nonparametric estimation of the conditional Weibull-tail coefficient when the variable of interest is right random censored is addressed. A Weissman-type estimator of conditional extreme quantile is also proposed. In addition, a simulation study is conducted to assess the finite-sample behavior of the proposed estimators and a comparison with alternative strategies is provided. Finally, the practical applicability of the methodology is presented using a real datasets of men suffering from a larynx cancer.

Keywords

Cite

@article{arxiv.2110.04772,
  title  = {Nonparametric kernel estimation of Weibull-tail coefficient in presence of the right random censoring},
  author = {Justin Ushize Rutikange and Aliou Diop},
  journal= {arXiv preprint arXiv:2110.04772},
  year   = {2021}
}