The logarithm map, its limits and Fréchet means in orthant spaces

Barden, D. and Le, Huiling (2018) The logarithm map, its limits and Fréchet means in orthant spaces. Proceedings of the London Mathematical Society . ISSN 1460-244X

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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 Fréchet means of probability measures on such a space. In the second part, we use these results to characterise Fréchet means and to derive various of their properties, including the limiting distribution of sample Fréchet means.

Item Type: Article
Keywords: Fréchet mean; limiting distribution of sample Fréchet means; logarithm map; stratified space
Schools/Departments: University of Nottingham, UK > Faculty of Science > School of Mathematical Sciences
Identification Number: https://doi.org/10.1112/plms.12149
Depositing User: Eprints, Support
Date Deposited: 17 Apr 2018 08:53
Last Modified: 18 Jun 2018 11:00
URI: http://eprints.nottingham.ac.uk/id/eprint/51196

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