An elliptically symmetric angular Gaussian distribution
We define a distribution on the unit sphere Sd−1 called the elliptically symmetric angular Gaussian distribution. This distribution, which to our knowledge has not been studied before, is a subfamily of the angular Gaussian distribution closely analogous to the Kent subfamily of the general Fisher–B...
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| Format: | Article |
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Springer
2017
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| Online Access: | https://eprints.nottingham.ac.uk/43014/ |
| _version_ | 1848796623367307264 |
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| author | Paine, P.J. Preston, Simon P. Tsagris, Michail Wood, Andrew T.A. |
| author_facet | Paine, P.J. Preston, Simon P. Tsagris, Michail Wood, Andrew T.A. |
| author_sort | Paine, P.J. |
| building | Nottingham Research Data Repository |
| collection | Online Access |
| description | We define a distribution on the unit sphere Sd−1 called the elliptically symmetric angular Gaussian distribution. This distribution, which to our knowledge has not been studied before, is a subfamily of the angular Gaussian distribution closely analogous to the Kent subfamily of the general Fisher–Bingham distribution. Like the Kent distribution, it has elliptical contours, enabling modelling of rotational asymmetry about the mean direction, but it has the additional advantages of being simple and fast to simulate from, and having a density and hence likelihood that is easy and very quick to compute exactly. These advantages are especially beneficial for computationally intensive statistical methods, one example of which is a parametric bootstrap procedure for inference for the directional mean that we describe. |
| first_indexed | 2025-11-14T19:50:55Z |
| format | Article |
| id | nottingham-43014 |
| institution | University of Nottingham Malaysia Campus |
| institution_category | Local University |
| last_indexed | 2025-11-14T19:50:55Z |
| publishDate | 2017 |
| publisher | Springer |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | nottingham-430142020-05-04T18:46:30Z https://eprints.nottingham.ac.uk/43014/ An elliptically symmetric angular Gaussian distribution Paine, P.J. Preston, Simon P. Tsagris, Michail Wood, Andrew T.A. We define a distribution on the unit sphere Sd−1 called the elliptically symmetric angular Gaussian distribution. This distribution, which to our knowledge has not been studied before, is a subfamily of the angular Gaussian distribution closely analogous to the Kent subfamily of the general Fisher–Bingham distribution. Like the Kent distribution, it has elliptical contours, enabling modelling of rotational asymmetry about the mean direction, but it has the additional advantages of being simple and fast to simulate from, and having a density and hence likelihood that is easy and very quick to compute exactly. These advantages are especially beneficial for computationally intensive statistical methods, one example of which is a parametric bootstrap procedure for inference for the directional mean that we describe. Springer 2017-05-22 Article PeerReviewed Paine, P.J., Preston, Simon P., Tsagris, Michail and Wood, Andrew T.A. (2017) An elliptically symmetric angular Gaussian distribution. Statistics and Computing . pp. 1-9. ISSN 1573-1375 Angular Gaussian Bootstrap Kent distribution Spherical distribution http://link.springer.com/article/10.1007%2Fs11222-017-9756-4 doi:10.1007/s11222-017-9756-4 doi:10.1007/s11222-017-9756-4 |
| spellingShingle | Angular Gaussian Bootstrap Kent distribution Spherical distribution Paine, P.J. Preston, Simon P. Tsagris, Michail Wood, Andrew T.A. An elliptically symmetric angular Gaussian distribution |
| title | An elliptically symmetric angular Gaussian distribution |
| title_full | An elliptically symmetric angular Gaussian distribution |
| title_fullStr | An elliptically symmetric angular Gaussian distribution |
| title_full_unstemmed | An elliptically symmetric angular Gaussian distribution |
| title_short | An elliptically symmetric angular Gaussian distribution |
| title_sort | elliptically symmetric angular gaussian distribution |
| topic | Angular Gaussian Bootstrap Kent distribution Spherical distribution |
| url | https://eprints.nottingham.ac.uk/43014/ https://eprints.nottingham.ac.uk/43014/ https://eprints.nottingham.ac.uk/43014/ |