Estimating Multiplicative and Additive Hazard Functions by Kernel Methods
Oliver Bruce Linton (),
Jens Perch Nielsen () and
Sara Van de Geer ()
Additional contact information Jens Perch Nielsen: Codan, Postal: Gammel Kongevej 60, 1790 Copenhagen V, Denmark
Sara Van de Geer: Mathematical Institute, Postal: University of Leiden, Niels Bohrweg 1, 2300 RA Leiden, The Netherlands
Abstract:
We propose new procedures for estimating the univariate quantities of interest in both additive and multiplicative nonparametric marker dependent hazard models. We work with a full counting process framework that allows for left truncation and right censoring. Our procedures are based on kernels and on the idea of marginal integration. we provide a central limit theorem for our estimator.