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Construction and parameter estimation of wrapped normal models
Mini Dissertation (MSc (Mathematical Statistics))--University of Pretoria, 2019.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2023
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| _version_ | 1867613558790946816 |
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| access_status_str | Open Access |
| author2 | Loots, Mattheus Theodor |
| author_browse | Loots, Mattheus Theodor |
| author_facet | Loots, Mattheus Theodor |
| collection | Thesis |
| dc_rights_str_mv | © 2021 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 | Mini Dissertation (MSc (Mathematical Statistics))--University of Pretoria, 2019. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/93829 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:38:03.802Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2023 |
| publishDateRange | 2023 |
| publishDateSort | 2023 |
| 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:2263/93829 Construction and parameter estimation of wrapped normal models Loots, Mattheus Theodor Bekker, Andriette, 1958- hannalineroux@gmail.com Roux, Hannaline UCTD Wrapped skew-normal Wrapped exible generalised skew-normal Trigonometric moments Maximum likelihood estimation (MLE) Skew scale mixtures of normal model Mini Dissertation (MSc (Mathematical Statistics))--University of Pretoria, 2019. If a known distribution on a real line is given, it can be wrapped on the circumference of a unit circle. This research entails the study of a univariate skew-normal distribution where the skew-normal distribution is generalised for the case of bimodality. Both the skew-normal and exible generalised skew-normal distributions are wrapped onto a unit circle, consequently referred to as a wrapped skew-normal and a wrapped flexible generalised skew-normal distribution respectively. For each of these distributions a simulation study is conducted, where the performance of maximum likelihood estimation is evaluated. Skew scale mixtures of normal distributions with the wrapped version of these distributions are proposed and graphical representations are provided. These distributions are also compared in an application to wind direction data. Statistics MSc (Mathematical Statistics) Unrestricted Faculty of Natural and Agricultural Sciences 2023-12-19T14:19:35Z 2023-12-19T14:19:35Z 2020-04 2019-08 Mini Dissertation * A2020 http://hdl.handle.net/2263/93829 en © 2021 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 Wrapped skew-normal Wrapped exible generalised skew-normal Trigonometric moments Maximum likelihood estimation (MLE) Skew scale mixtures of normal model Construction and parameter estimation of wrapped normal models |
| title | Construction and parameter estimation of wrapped normal models |
| title_full | Construction and parameter estimation of wrapped normal models |
| title_fullStr | Construction and parameter estimation of wrapped normal models |
| title_full_unstemmed | Construction and parameter estimation of wrapped normal models |
| title_short | Construction and parameter estimation of wrapped normal models |
| title_sort | construction and parameter estimation of wrapped normal models |
| topic | UCTD Wrapped skew-normal Wrapped exible generalised skew-normal Trigonometric moments Maximum likelihood estimation (MLE) Skew scale mixtures of normal model |
| url | http://hdl.handle.net/2263/93829 |