I will discuss preliminary research on doing statistics, tracking, and
filtering of data sets which are manifold valued or are functions of a
manifold. We will work with Riemannian manifolds, which will give us many tools
of analysis and calculus in order to extend our notions of statistics. I will
define key terms, discuss some preliminary results, some ideas for research,
and some of the work of other researchers. I will also discuss particular
applications of statistics on Riemannian manifolds in forecasting and image
analysis.
