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Contemplating Statistics : estimation and regression according to arc lengths
Thesis (PhD)--University of Pretoria, 2017.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2017
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| _version_ | 1867613557932163072 |
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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 | © 2017 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)--University of Pretoria, 2017. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/61098 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:38:02.940Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2017 |
| publishDateRange | 2017 |
| publishDateSort | 2017 |
| 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:2263/61098 Contemplating Statistics : estimation and regression according to arc lengths Bekker, Andriette, 1958- theodor.loots@up.ac.za Loots, Mattheus Theodor Mathematical Statistics Non-linear regression Parameter estimation Regression Goodness-of-fi t UCTD Thesis (PhD)--University of Pretoria, 2017. Advances in computing has undoubtfully been one of the main catalysts in the formation of the discipline always known as Statistics. A fundamental question addressed here is whether computing facilities, such as parallel or high performance computing, could assist in the development of methodologies that render stronger results, based on some predetermined optimality criterion. The candidate at the hand of which this enquiry is made, is the arc length of some statistical function. Estimation, goodness-of-fit, linear regression and non-linear regression, which may all be considered as central themes in Statistics, are revisited, and redefined in terms of this new measure. The results resulting from these arc length methodologies are obtained from simulation, as well as from real case studies, and contrasted to that obtained using their classical counterparts. Mathematical premises for the proposed methods are provided, together with the documentation accompanying the companion R package, along with the data utilised for the applications. National Research Foundation of South Africa, Unique Grant No. 94108. Statistics PhD Unrestricted 2017-06-27T07:08:09Z 2017-06-27T07:08:09Z 2017-09 2017 Thesis Loots, MT 2017, Contemplating Statistics : estimation and regression according to arc lengths, PhD Thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/61098> S2017 http://hdl.handle.net/2263/61098 en © 2017 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 | Mathematical Statistics Non-linear regression Parameter estimation Regression Goodness-of-fi t UCTD Contemplating Statistics : estimation and regression according to arc lengths |
| title | Contemplating Statistics : estimation and regression according to arc lengths |
| title_full | Contemplating Statistics : estimation and regression according to arc lengths |
| title_fullStr | Contemplating Statistics : estimation and regression according to arc lengths |
| title_full_unstemmed | Contemplating Statistics : estimation and regression according to arc lengths |
| title_short | Contemplating Statistics : estimation and regression according to arc lengths |
| title_sort | contemplating statistics estimation and regression according to arc lengths |
| topic | Mathematical Statistics Non-linear regression Parameter estimation Regression Goodness-of-fi t UCTD |
| url | http://hdl.handle.net/2263/61098 |