Mardia, KV orcid.org/0000-0003-0090-6235 and Ley, C (2018) Directional Distributions. In: Balakrishnan, N, Colton, T, Everitt, B, Piegorsch, W, Ruggeri, F and Teugels, J, (eds.) Wiley StatsRef: Statistics Reference Online. Wiley , Hoboken, NJ, USA ISBN 9781118445112
Abstract
Various practical situations give rise to observations that are directions, and this has led to the field of directional statistics. Especially in recent years, new applications of this area have emerged, such as in structural bioinformatics, machine learning and cosmology. Consequently, various new directional distributions have appeared in the literature including on the circle, sphere, cylinder, torus, among others. These distributions take into account the underlying manifold. In this article, we provide a thorough review of the most important directional distributions with their main properties. Wherever relevant, we also give some indication of the particular application area which has led to a specific distribution.
Metadata
Item Type: | Book Section |
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Authors/Creators: |
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Editors: |
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Keywords: | directional data; circular distributions; distributions on manifolds; distributions on torus; cylindrical distributions; Fisher distribution; matrix distributions; spherical distributions; projected distribution; wrapped distributions |
Dates: |
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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: | 06 Jul 2018 11:13 |
Last Modified: | 06 Jul 2018 11:13 |
Status: | Published |
Publisher: | Wiley |
Identification Number: | 10.1002/9781118445112.stat00962.pub2 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:132973 |