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A baseline-free procedure for transformation models under interval censorship
Gu, MG; Sun, LQ; Zuo, GX
AbstractAn important property of Cox regression model is that the estimation of regression parameters using the partial likelihood procedure does not depend on its baseline survival function. We call such a procedure baseline-free. Using marginal likelihood, we show that an baseline-free procedure can be derived for a class of general transformation models under interval censoring framework. The baseline-free procedure results a simplified and stable computation algorithm for some complicated and important semiparametric models, such as frailty models and heteroscedastic hazard/rank regression models, where the estimation procedures so far available involve estimation of the infinite dimensional baseline function. A detailed computational algorithm using Markov Chain Monte Carlo stochastic approximation is presented. The proposed procedure is demonstrated through extensive simulation studies, showing the validity of asymptotic consistency and normality. We also illustrate the procedure with a real data set from a study of breast cancer. A heuristic argument showing that the score function is a mean zero martingale is provided.
Keywordinterval censored data marginal likelihood Markov chain Monte Carlo methods semiparametric models stochastic approximation transformation models
WOS Research AreaMathematics
WOS SubjectMathematics, Interdisciplinary Applications ; Statistics & Probability
WOS IDWOS:000233392800003
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Document Type期刊论文
Corresponding AuthorGu, MG
Affiliation1.Univ Hong Kong, Dept Stat, Hong Kong, Hong Kong, Peoples R China
2.Chinese Acad Sci, Inst Appl Math, Acad Math & Syst Sci, Beijing 100080, Peoples R China
3.Cent China Normal Univ, Dept Stat, Wuhan 430079, Peoples R China
Recommended Citation
GB/T 7714
Gu, MG,Sun, LQ,Zuo, GX. A baseline-free procedure for transformation models under interval censorship[J]. LIFETIME DATA ANALYSIS,2005,11(4):473-488.
APA Gu, MG,Sun, LQ,&Zuo, GX.(2005).A baseline-free procedure for transformation models under interval censorship.LIFETIME DATA ANALYSIS,11(4),473-488.
MLA Gu, MG,et al."A baseline-free procedure for transformation models under interval censorship".LIFETIME DATA ANALYSIS 11.4(2005):473-488.
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