The strong representation for the nonparametric estimation of length-biased and right-censored data
Statistics Theory
2017-08-03 v2 Statistics Theory
Abstract
In this article, we consider a useful product-limit estimator of distribution function proposed by Huang & Qin(2011) when the observations are subject to length-biased and right-censored data. The estimator retains the simple closed-form expression of the truncation product-limit estimator with some good properties. An almost sure representation for the estimator is obtained which can be used to derive many properties of functional statistics based on this product-limit estimator. The rate for the remainder in the representation is of order a.s.
Keywords
Cite
@article{arxiv.1409.4642,
title = {The strong representation for the nonparametric estimation of length-biased and right-censored data},
author = {Jianhua Shi and Xiaoping Chen and Yong Zhou},
journal= {arXiv preprint arXiv:1409.4642},
year = {2017}
}