In multivariate failure time data analysis, a marginal regression modeling
approach is often preferred to avoid assumptions on the dependence structur
e among correlated failure times. In this paper, a marginal mixed baseline
hazards model is introduced. Estimating equations are proposed for the esti
mation of the marginal hazard ratio parameters. The proposed estimators are
shown to be consistent and asymptotically Gaussian with a robust covarianc
e matrix that can be consistently estimated. Simulation studies indicate th
e adequacy of the proposed methodology for practical sample sizes. The meth
odology is illustrated with a data set from the Framingham Heart Study.