A bootstrap approximation to Lp_statistic of kernel density estimator in length-biased model
Probability
2017-05-30 v1
Abstract
This article presents a bootstrap approximation to the Lp_statistics of kernel density estimator in length-biased model. Length-biased data arise in many situations, such as survival analysis, renewal processes and physics. The article establishes a bootstrap central limit theorem for the corresponding bootstrap version of this Lp_statistic. The bootstrap is a widely used tool in statistics and, therefore, the properties of this bootstrap approximation are of great interest in applied as well as in theoretical statistics.
Keywords
Cite
@article{arxiv.1705.09900,
title = {A bootstrap approximation to Lp_statistic of kernel density estimator in length-biased model},
author = {Raheleh Zamini},
journal= {arXiv preprint arXiv:1705.09900},
year = {2017}
}