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Construction and parameter estimation of wrapped normal models
Dissertation (MSc)--University of Pretoria, 2019.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2020
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| _version_ | 1867613517449789441 |
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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 | © 2020 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, 2019. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/77880 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:24.530Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2020 |
| publishDateRange | 2020 |
| publishDateSort | 2020 |
| 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:2263/77880 Construction and parameter estimation of wrapped normal models Loots, Mattheus Theodor u13040911@tuks.co.za Roux, Hannaline UCTD Wrapped skew-normal Wrapped exible generalised skew-normal Trigonometric moments Maximum likelihood estimation (MLE) Dissertation (MSc)--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 flexible 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 Unrestricted 2020-12-29T11:51:02Z 2020-12-29T11:51:02Z 2020/04/16 2019 Dissertation Roux, H 2019, Construction and parameter estimation of wrapped normal models, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/77880> A2020 http://hdl.handle.net/2263/77880 en © 2020 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) 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) |
| url | http://hdl.handle.net/2263/77880 |