The Logarithm Map, its Limits and Frechet Means in Orthant Spaces
arXiv:1703.07081 · doi:10.1112/plms.12149
Abstract
The first part of the paper studies the expression for, and the properties of, the logarithm map on an orthant space, which is a simple stratified space, with the aim of analysing Frechet means of probability measures on such a space. In the second part, we use these results to characterise Frechet means and to derive various of their properties, including the limiting distribution of sample Frechet means.
43 pages