Semiparametric Transformation Models for Arbitrarily Censored and Truncated Data

Abstract

A regression analysis for arbitrarily censored and truncated data was proposed by (), using Cox's proportional hazards model, and based on () for nonparametric estimation of a distribution function. We propose here a generalization of their method to the case where there is an unobserved heterogeneity in the data taken into account by a frailty model. Our methodology is applied to a set of real data on transfusion-related AIDS that has been used among others by ().