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A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing
Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2022.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2023
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| _version_ | 1867613522526994432 |
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| access_status_str | Open Access |
| author2 | Otieno Mac'Oduol, Brenda |
| author_browse | Otieno Mac'Oduol, Brenda |
| author_facet | Otieno Mac'Oduol, Brenda |
| collection | Thesis |
| dc_rights_str_mv | © 2022 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 (Advanced Data Analytics))--University of Pretoria, 2022. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/89460 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:29.335Z |
| 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:2263/89460 A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing Otieno Mac'Oduol, Brenda jeannelouisev9@gmail.com Van Staden, Paul J. Van der Sande, Jeanne-Louise Two-piece distribution Quantile splicing l-moment Maximum likelihood estimation (MLE) Quantile-based distributions UCTD Mini Dissertation (MSc (Advanced Data Analytics))--University of Pretoria, 2022. This mini-dissertation proposes constructing a family of spliced distributions at a point different from the median, hence k=1/4 instead of k=1/2, using the method of quantile splicing proposed by Mac'Oduol et al. (2020). General results of these families of distributions are developed and the maximum likelihood approach is explored and investigated for estimation purposes. Moreover, a numerical application is presented in order to illustrate the implementation and application of the proposed method. Statistics MSc (Advanced Data Analytics) Unrestricted 2023-02-13T13:45:50Z 2023-02-13T13:45:50Z 2023-04 2022-11-30 Mini Dissertation * A2023 https://repository.up.ac.za/handle/2263/89460 en © 2022 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 | Two-piece distribution Quantile splicing l-moment Maximum likelihood estimation (MLE) Quantile-based distributions UCTD A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing |
| title | A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing |
| title_full | A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing |
| title_fullStr | A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing |
| title_full_unstemmed | A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing |
| title_short | A maximum likelihood estimation approach for spliced distributions obtained through quantile splicing |
| title_sort | maximum likelihood estimation approach for spliced distributions obtained through quantile splicing |
| topic | Two-piece distribution Quantile splicing l-moment Maximum likelihood estimation (MLE) Quantile-based distributions UCTD |
| url | https://repository.up.ac.za/handle/2263/89460 |