Partially varying coefficient single index proportional hazards regression models

In this paper, the partially varying coefficient single index proportional hazards regression models are discussed. All unknown functions are fitted by polynomial BB splines. The index parameters and BB-spline coefficients are estimated by the partial likelihood method and a two-step Newton–Raphson algorithm. Consistency and asymptotic normality of the estimators of all the parameters are derived. Through a simulation study and the VA data example, we illustrate that the proposed estimation procedure is accurate, rapid and stable.