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Advances in statistical distribution theory inspired by communications systems
Thesis (PhD (Mathematical Statistics))--University of Pretoria, 2017.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2018
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| _version_ | 1867613535732760576 |
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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 | © 2018 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 | Thesis (PhD (Mathematical Statistics))--University of Pretoria, 2017. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/63903 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:41.969Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2018 |
| publishDateRange | 2018 |
| publishDateSort | 2018 |
| 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:2263/63903 Advances in statistical distribution theory inspired by communications systems Bekker, Andriette, 1958- johan.ferreira@up.ac.za Ferreira, Johannes Theodorus UCTD Mathematical Statistics Statistics Statistical distribution Communications systems Thesis (PhD (Mathematical Statistics))--University of Pretoria, 2017. This thesis contributes to statistical distribution theory by developing bivariate- and matrix variate distributions with their origins in the complex elliptical class. These contributions are inspired by the communications systems domain, where the underlying distribution is often assumed to be normal. By proposing the underlying distribution to be from the complex elliptical class allows the practitioner to assume different underlying distributions to alleviate the restriction of normality. The building blocks of the contributions in this thesis are systematically described and motivated. Through these advances and contributions within statistical distribution theory, proposed application within the communications systems field is presented. Key performance metrics are investigated under this complex elliptical assumption, and comparatively explored between two members, namely the normal and t. National Research Foundation, South Africa (ref. CPRR13090132066 grant nr. 91497 and ref. CPRR160403161466 grant nr. 105840). Statistics PhD (Mathematical Statistics) Unrestricted 2018-02-08T13:06:11Z 2018-02-08T13:06:11Z 2018-04-13 2017 Thesis * A2018 http://hdl.handle.net/2263/63903 en © 2018 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 | UCTD Mathematical Statistics Statistics Statistical distribution Communications systems Advances in statistical distribution theory inspired by communications systems |
| title | Advances in statistical distribution theory inspired by communications systems |
| title_full | Advances in statistical distribution theory inspired by communications systems |
| title_fullStr | Advances in statistical distribution theory inspired by communications systems |
| title_full_unstemmed | Advances in statistical distribution theory inspired by communications systems |
| title_short | Advances in statistical distribution theory inspired by communications systems |
| title_sort | advances in statistical distribution theory inspired by communications systems |
| topic | UCTD Mathematical Statistics Statistics Statistical distribution Communications systems |
| url | http://hdl.handle.net/2263/63903 |