A partly parametric additive risk model |
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Authors: | MCKEAGUE, IAN W. SASIENI, PETER D. |
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Affiliation: | 1 Department of Statistics, Florida State University, Tallahassee Florida 32306-3033, U.S.A. 2 Department of Mathematics, Statistics and Epidemiology, Imperial Cancer Research Fund P.O. Box No. 123, Lincoln's Inn Fields, London WC2A 3PX, U.K. |
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Abstract: | Aalen's additive risk model allows the influence of each covariateto vary separately over time. Although allowing greater flexibilityof temporal structure than a Cox model, Aalen's model is morelimited in the number of covariates it can handle. We introducea partly parametric version of Aalen's model in which the influenceof only a few covariates varies nonparametrically over time,and that of the remaining covariates is constant. Efficientprocedures for fitting this new model are developed and studied.The approach is applied to data from the Medical Research Council'smyelomatosis trials. |
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Keywords: | Aalen's linear hazards model Counting process Efficient estimation Right-censored data Semiparametric Survival analysis |
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