The logarithm map, its limits and Fréchet means in orthant spaces
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...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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London Mathematical Society
2018
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| Online Access: | https://eprints.nottingham.ac.uk/51196/ |
| _version_ | 1848798439783006208 |
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| author | Barden, D. Le, Huiling |
| author_facet | Barden, D. Le, Huiling |
| author_sort | Barden, D. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | 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. |
| first_indexed | 2025-11-14T20:19:48Z |
| format | Article |
| id | nottingham-51196 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| language | English |
| last_indexed | 2025-11-14T20:19:48Z |
| publishDate | 2018 |
| publisher | London Mathematical Society |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-511962018-06-18T11:00:17Z https://eprints.nottingham.ac.uk/51196/ The logarithm map, its limits and Fréchet means in orthant spaces Barden, D. Le, Huiling 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. London Mathematical Society 2018-06-13 Article PeerReviewed application/pdf en https://eprints.nottingham.ac.uk/51196/1/orthant-space-revision2_submitted.pdf 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 Fréchet mean; limiting distribution of sample Fréchet means; logarithm map; stratified space https://londmathsoc.onlinelibrary.wiley.com/doi/abs/10.1112/plms.12149 doi:10.1112/plms.12149 doi:10.1112/plms.12149 |
| spellingShingle | Fréchet mean; limiting distribution of sample Fréchet means; logarithm map; stratified space Barden, D. Le, Huiling The logarithm map, its limits and Fréchet means in orthant spaces |
| title | The logarithm map, its limits and Fréchet means in orthant spaces |
| title_full | The logarithm map, its limits and Fréchet means in orthant spaces |
| title_fullStr | The logarithm map, its limits and Fréchet means in orthant spaces |
| title_full_unstemmed | The logarithm map, its limits and Fréchet means in orthant spaces |
| title_short | The logarithm map, its limits and Fréchet means in orthant spaces |
| title_sort | logarithm map, its limits and fréchet means in orthant spaces |
| topic | Fréchet mean; limiting distribution of sample Fréchet means; logarithm map; stratified space |
| url | https://eprints.nottingham.ac.uk/51196/ https://eprints.nottingham.ac.uk/51196/ https://eprints.nottingham.ac.uk/51196/ |