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

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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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Official URL: https://londmathsoc.onlinelibrary.wiley.com/doi/abs/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 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:	10.1112/plms.12149
Depositing User:	Eprints, Support
Date Deposited:	17 Apr 2018 08:53
Last Modified:	18 Jun 2018 11:00
URI:	https://eprints.nottingham.ac.uk/id/eprint/51196

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