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The development of the quaternion normal distribution
Dissertation (MSc)--University of Pretoria, 2010.
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| Format: | Thesis |
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University of Pretoria
2013
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| _version_ | 1867613718486974464 |
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| access_status_str | Open Access |
| author2 | Bekker, Andriette, 1958- |
| author_browse | Bekker, Andriette, 1958- |
| author_facet | Bekker, Andriette, 1958- |
| collection | Thesis |
| dc_rights_str_mv | © 2010, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc)--University of Pretoria, 2010. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/25903 |
| institution | University of Pretoria (South Africa) |
| last_indexed | 2026-06-10T12:40:36.114Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2013 |
| publishDateRange | 2013 |
| publishDateSort | 2013 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/25903 The development of the quaternion normal distribution Bekker, Andriette, 1958- theo.loots@gmail.com Loots, Mattheus Theodor Wilks's statistic Quaternion wishart distribution Real representation Characteristic function Quaternion matrix-variate beta type i distribution Meijer's g-function Quaternion normal distribution UCTD Dissertation (MSc)--University of Pretoria, 2010. In this dissertation an overview on the real representation of quaternions in distribution theory is given. The density functions of the p-variate and matrix-variate quaternion normal distributions are derived from first principles, while that of the quaternion Wishart distribution is derived from the real associated Wishart distribution via the characteristic function. Applications of this theory in hypothesis testing is presented, and the density function of Wilks's statistic is derived for quaternion Wishart matrices. Statistics unrestricted 2013-09-07T01:13:50Z 2011-06-28 2013-09-07T01:13:50Z 2011-04-05 2010-12-28 2011-06-27 Dissertation Loots, MT 2010, The development of the quaternion normal distribution, MSc dissertation, University of Pretoria, Pretoria, viewed yymmdd < http://hdl.handle.net/2263/25903 > E11/431/gm http://hdl.handle.net/2263/25903 http://upetd.up.ac.za/thesis/available/etd-06272011-164137/ © 2010, University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | Wilks's statistic Quaternion wishart distribution Real representation Characteristic function Quaternion matrix-variate beta type i distribution Meijer's g-function Quaternion normal distribution UCTD The development of the quaternion normal distribution |
| title | The development of the quaternion normal distribution |
| title_full | The development of the quaternion normal distribution |
| title_fullStr | The development of the quaternion normal distribution |
| title_full_unstemmed | The development of the quaternion normal distribution |
| title_short | The development of the quaternion normal distribution |
| title_sort | development of the quaternion normal distribution |
| topic | Wilks's statistic Quaternion wishart distribution Real representation Characteristic function Quaternion matrix-variate beta type i distribution Meijer's g-function Quaternion normal distribution UCTD |
| url | http://hdl.handle.net/2263/25903 http://upetd.up.ac.za/thesis/available/etd-06272011-164137/ |