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Skew-normal distributions : advances in theory and applications
Mini Dissertation (MSc (Mathematical Statistics))--University of Pretoria, 2017.
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| Other Authors: | |
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2023
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| _version_ | 1867613496587321344 |
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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 | © 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, 2017. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/93803 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:04.556Z |
| 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:2263/93803 Skew-normal distributions : advances in theory and applications Bekker, Andriette, 1958- Arashi, Mohammad Ferreira, Johan T. Rowland, Brett William UCTD Approximating binomial distribution Distribution fitting Skew generalised normal Stochastic representation Mini Dissertation (MSc (Mathematical Statistics))--University of Pretoria, 2017. The normal distribution is popular in many statistical contexts. However, due to its symmetry and tail behavior it may not necessarily be the best choice to use in many real world applications. In order to alleviate the aforementioned issues, a symmetric generalised normal distribution that exhibits flexibility in its tail behavior is proposed as candidate to apply existing skewing methodology to. Methods to approximate the characteristics of this new distribution and a corresponding stochastic representation is derived. The skewed version of the generalised normal distribution, along with other distributions, is used in a distribution fitting context and to approximate particular binomial distributions as an application. National Research Foundation (NRF) Statistics MSc (Mathematical Statistics) Unrestricted Faculty of Natural and Agricultural Sciences 2023-12-19T09:00:04Z 2023-12-19T09:00:04Z 2018 2017-08 Mini Dissertation * A2018 http://hdl.handle.net/2263/93803 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 Approximating binomial distribution Distribution fitting Skew generalised normal Stochastic representation Skew-normal distributions : advances in theory and applications |
| title | Skew-normal distributions : advances in theory and applications |
| title_full | Skew-normal distributions : advances in theory and applications |
| title_fullStr | Skew-normal distributions : advances in theory and applications |
| title_full_unstemmed | Skew-normal distributions : advances in theory and applications |
| title_short | Skew-normal distributions : advances in theory and applications |
| title_sort | skew normal distributions advances in theory and applications |
| topic | UCTD Approximating binomial distribution Distribution fitting Skew generalised normal Stochastic representation |
| url | http://hdl.handle.net/2263/93803 |