A general semiparametric approach to inference with marker-dependent hazard rate models

Författare: Gerard J. van den Berg, Och Lena Janys, Och Enno Mammen, Och Jens P. Nielsen, Och

Sammanfattning av

Working paper


We examine a new general class of hazard rate models for survival data, containing a parametric and a nonparametric component. Both can be a mix of a time effect and (possibly time-dependent) marker of covariate effects. A number of well-known models are special cases. In a counting process framework, a general profile likelihood estimator is developed and the parametric component of the model is shown to be asymptotically normal and efficient. The analysis improves on earlier results for special cases. Finite sample properties are investigated in simulations. The estimator is shown to work well under realistic empirical conditions. The estimator is applied to investigate the long-run relationship between birth weight and later-lite mortality using data from the Uppsala birth cohort study of individuals born in 1915–1929. The results suggest a relationship that is difficult to capture with sample parametric specifications. Moreover, its shape at higher birth weights differs across gender.