A0449
Title: Nonparametric inference on Frechet mean and related population objects on manifolds
Authors: Daisuke Kurisu - The University of Tokyo (Japan) [presenting]
Taisuke Otsu - London School of Economics (United Kingdom)
Abstract: The focus is on the inference of the Frechet mean and related population objects on manifolds. The concept of nonparametric likelihood is developed for manifolds, and general inference methods are proposed by adapting the theory of empirical likelihood. In addition to the basic asymptotic properties, such as Wilks theorem of the empirical likelihood statistic, several generalizations of the proposed methodology are presented. Simulation and real data examples illustrate the usefulness of the proposed methodology and its advantage against the conventional Wald test.
