Survival Analysis Using Additive Risk Models.
FLORIDA STATE UNIV TALLAHASSEE DEPT OF STATISTICS
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Coxs 1972 proportional hazards model has so far been the most popular model for the regression analysis of censored survival data. However, the additive risk model of Aalen 1980 provides a useful and biologically more plausible alternative when large sample size makes it application feasible. Let lambdat,Y be the hazard function for a subject whose covariates are given by Y Y sub 1,...,Y sub p. Aalens model stipulates that lambdat Y alphat, where alpha alpha sub 1,..., alpha sub p is an unknown vector of hazard functions. This paper discusses inference for alpha sub 1,..., alpha sub p based on continuous and grouped data. Asymptotic distribution results are developed using the theory of counting and used to provide confidence bands for the cumulative hazard functions. The method is applied to data on the incidence of cancer mortality among Japanese atomic bomb survivors. Keywords Monte Carlo method Multivariate analysis Martingale methods.
- Numerical Mathematics