Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-01-17

Journal: COMMUNICATIONS IN STATISTICS-THEORY AND METHODS

Included Journals: EI、SCIE

Volume: 43

Issue: 2

Page Number: 426-440

ISSN: 0361-0926

Key Words: Bridge estimator; Cox's proportional hazard model; Empirical likelihood; Variable selection; 62G05; 62N01

Abstract: We propose the penalized empirical likelihood method via bridge estimator in Cox's proportional hazard model for parameter estimation and variable selection. Under reasonable conditions, we show that penalized empirical likelihood in Cox's proportional hazard model has oracle property. A penalized empirical likelihood ratio for the vector of regression coefficients is defined and its limiting distribution is a chi-square distributions. The advantage of penalized empirical likelihood as a nonparametric likelihood approach is illustrated in testing hypothesis and constructing confidence sets. The method is illustrated by extensive simulation studies and a real example.