ABSTRACT
In Chapter 8, we presented general theory for nonparametric statistical ana-
lysis of data from homogeneous Riemannian manifolds . Amongst other ap-
plications of this methodology are diffusion tensor imaging (DTI) and cosmic
microwave background radiation (CBR) (Schwartzman et al. (2008) [303]).
Both of these applications led to the analysis of random objects on the set of
positive definite symmetric matrices Sym+(m), for some dimension m ≥ 2. In this chapter, we will concentrate on application to DTI data analysis.
