Wang, W.: Proportional hazards regression model with unknown link function ABSTRACT Cox proportional hazards regression model usually assumes that covariates have log-linear effects on the hazard function. Now we consider a more general proportional hazards regression model with a nonparametric link function. We mainly focus on the situation when the baseline hazard function is also unspecified. A two-step iterative algorithm is proposed to estimate the link function and the covariate effects. We make inference based on a local version of the partial likelihood. Large sample properties are discussed and several simulation studies are conducted to evaluate the performance of this estimation procedure.