Kent, J.T. orcid.org/0000-0002-1861-8349 (2023) Directional Distributions and the Half-Angle Principle. In: Yi, M. and Nordhausen, K., (eds.) Robust and Multivariate Statistical Methods. Springer Nature , pp. 137-154. ISBN 9783031226861
Abstract
Angle halving, or alternatively the reverse operation of angle doubling, is a useful tool when studying directional distributions. It is especially useful on the circle where, in particular, it yields an identification between the wrapped Cauchy distribution and the angular central Gaussian distribution, as well as a matching of their parameterizations. The operation of angle halving can be extended to higher dimensions, but its effect on distributions is more complicated than on the circle. In all dimensions, angle halving provides a simple way to interpret stereographic projection from the sphere to Euclidean space.
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Item Type: | Book Section |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG. This is an author produced version of a book chapter published in Robust and Multivariate Statistical Methods. Uploaded in accordance with the publisher's self-archiving policy. |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Statistics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 20 Dec 2024 09:48 |
Last Modified: | 20 Dec 2024 09:48 |
Status: | Published |
Publisher: | Springer Nature |
Identification Number: | 10.1007/978-3-031-22687-8_7 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:221027 |