Penalised empirical likelihood for the additive hazards model with high-dimensional data. Issue 2 (3rd April 2017)

• Record Type: Journal Article
• Authors: Fang, Jianglin; Liu, Wanrong; Lu, Xuewen
• Is Part Of: Journal of nonparametric statistics. Volume 29:Issue 2(2017)
• Page Start: 326
• Page End: 345
• Publication Date: 2017-04-03
• Subjects: Empirical likelihood -- penalised empirical likelihood -- high-dimensional censored data -- additive hazards model -- variable selection; Nonparametric statistics -- Periodicals; 519.5
• DOI: 10.1080/10485252.2017.1303062
• Languages: English
• ISSNs: 1048-5252

Abstract

ABSTRACT: In this article, we apply the empirical likelihood (EL) method to the additive hazards model with high-dimensional data and propose the penalised empirical likelihood (PEL) method for parameter estimation and variable selection. It is shown that the estimator based on the EL method has the efficient property, and the limit distribution of the EL ratio statistic for the parameters is a asymptotic normal distribution under the true null hypothesis. In a high-dimensional setting, we prove that the PEL method in the additive hazards model has the oracle property, that is, with probability tending to 1, and the estimator based on the PEL method for the nonzero parameters is estimation and selection consistent if the hypothesised model is true. Moreover, the PEL ratio statistic for the parameters is a distribution under the true null hypothesis. The performance of the proposed methods is illustrated via a real data application and numerical simulations.