Semiparametric analysis of transformation models with doubly censored data
Pao-Sheng Shen
Journal of Applied Statistics, 2011, vol. 38, issue 4, 675-682
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. In this note, using Martingale arguments of Chen et al. [3], we propose an estimator (denoted by ˜β) for estimating regression coefficients of transformation model when L is always observed. Under Cox proportional hazards model, the proposed estimator is equivalent to the partial likelihood estimator for left-truncated and right-censored data if the left-censoring variables L were regarded as left-truncated variables. In this case, the estimator ˜β can be obtained by the standard software. A simulation study is conducted to investigate the performance of ˜β. For the purpose of comparison, the simulation study also includes the estimator proposed by Cai and Cheng [2] for the case when L and U are always observed.
Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:taf:japsta:v:38:y:2011:i:4:p:675-682
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DOI: 10.1080/02664760903563635
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