Local likelihood with time-varying additive hazards model |
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Authors: | Hui Li Guosheng Yin Yong Zhou |
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Institution: | 1. School of Mathematical Sciences Beijing Normal University Beijing 100875, China;2. Department of Biostatistics M. D. Anderson Cancer Center Houston, TX 77030, USA;3. Academy of Mathemtics and Systems Science Chinese Academy of Sciences Beijing 100080, China |
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Abstract: | The authors propose the local likelihood method for the time-varying coefficient additive hazards model. They use the Newton-Raphson algorithm to maximize the likelihood into which a local polynomial expansion has been incorporated. They establish the asymptotic properties for the time-varying coefficient estimators and derive explicit expressions for the variance and bias. The authors present simulation results describing the performance of their approach for finite sample sizes. Their numerical comparisons show the stability and efficiency of the local maximum likelihood estimator. They finally illustrate their proposal with data from a laryngeal cancer clinical study. |
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Keywords: | Additive model asymptotic normality censored data local polynomial maximum likelihood nonparametric estimation |
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