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The distribution of the complex rectangular co-ordinates and its applications
Goodman derived the complex Hishart distribution with the aid of characteristic functions and Fourier transforms. From this the distribution of the complex rectangular co-ordinates were derived as an application of the complex Hishart distribution. In the present paper we give a direct and simplifie...
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| Format: | Thesis |
| Language: | English |
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Department of Statistical Sciences
2016
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| _version_ | 1867613551938502656 |
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| access_status_str | Open Access |
| author | Dines, Malcolm |
| author2 | Troskie, Casper G |
| author_browse | Dines, Malcolm Troskie, Casper G |
| author_facet | Troskie, Casper G Dines, Malcolm |
| author_sort | Dines, Malcolm |
| collection | Thesis |
| description | Goodman derived the complex Hishart distribution with the aid of characteristic functions and Fourier transforms. From this the distribution of the complex rectangular co-ordinates were derived as an application of the complex Hishart distribution. In the present paper we give a direct and simplified method of deriving the distribution of the complex rectangular co-ordinates. From this distribution the complex Hishart distribution will be derived as an application. Some properties of the distribution of the complex rectangular coordinates will be given. In addition some applications and in particular the application of the distribution in the derivation of the distribution of the "complex" generalized variance will also be given. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/22170 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:37:57.455Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Statistical Sciences |
| publisherStr | Department of Statistical Sciences |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/22170 The distribution of the complex rectangular co-ordinates and its applications Dines, Malcolm Troskie, Casper G Statistics and Operations Research Goodman derived the complex Hishart distribution with the aid of characteristic functions and Fourier transforms. From this the distribution of the complex rectangular co-ordinates were derived as an application of the complex Hishart distribution. In the present paper we give a direct and simplified method of deriving the distribution of the complex rectangular co-ordinates. From this distribution the complex Hishart distribution will be derived as an application. Some properties of the distribution of the complex rectangular coordinates will be given. In addition some applications and in particular the application of the distribution in the derivation of the distribution of the "complex" generalized variance will also be given. 2016-10-18T11:31:23Z 2016-10-18T11:31:23Z 1967 Master Thesis Masters MSc http://hdl.handle.net/11427/22170 eng application/pdf Department of Statistical Sciences Faculty of Science University of Cape Town |
| spellingShingle | Statistics and Operations Research Dines, Malcolm The distribution of the complex rectangular co-ordinates and its applications |
| thesis_degree_str | Master's |
| title | The distribution of the complex rectangular co-ordinates and its applications |
| title_full | The distribution of the complex rectangular co-ordinates and its applications |
| title_fullStr | The distribution of the complex rectangular co-ordinates and its applications |
| title_full_unstemmed | The distribution of the complex rectangular co-ordinates and its applications |
| title_short | The distribution of the complex rectangular co-ordinates and its applications |
| title_sort | distribution of the complex rectangular co ordinates and its applications |
| topic | Statistics and Operations Research |
| url | http://hdl.handle.net/11427/22170 |
| work_keys_str_mv | AT dinesmalcolm thedistributionofthecomplexrectangularcoordinatesanditsapplications AT dinesmalcolm distributionofthecomplexrectangularcoordinatesanditsapplications |