Empirical Likelihood Ratio for Linear Transformation Models with Doubly Censored Data

Abstract

Double censoring arises when T represents an outcome variable that can only be accurately measured within a certain range, [L, U], where L and U are the left- and right-censoring variables, respectively. When L is always observed, we consider the empirical likelihood inference for linear transformation models, based on the martingale-type estimating equation proposed by Chen et al. (2002). It is demonstrated that both the approach of Lu and Liang (2006) and that of Yu et al. (2011) can be extended to doubly censored data. Simulation studies are conducted to investigate the performance of the empirical likelihood ratio methods.

Keywords:

• Confidence intervals
• Empirical likelihood
• Semiparametric transformation model

Mathematics Subject Classification:

• Primary 62N01
• Secondary 62N02