B0874
Title: A general framework for the analysis of kernel-based tests: Applications to survival analysis
Authors: Tamara Fernandez - Universidad Adolfo Ibanez (Chile) [presenting]
Nicolas Rivera - Universidad de Valparaiso (Chile)
Abstract: Kernel-based tests provide a simple yet effective framework that uses the theory of reproducing kernel Hilbert spaces to design non-parametric testing procedures. New theoretical tools are proposed that can be used to study the asymptotic behaviour of kernel-based tests in several data scenarios and in many different testing problems. The approach is based on analysing random functionals in a Hilbert space and leads to a very simple and clean analysis of kernel tests, only requiring mild regularity conditions. To illustrate the effectiveness of the approach, different examples of kernel-based tests applied to survival analysis are presented.
