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The compounding method for finding bivariate noncentral distributions
Dissertation (MSc)--University of Pretoria, 2014.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2021
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| _version_ | 1867613498980171776 |
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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 | © 2019 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, 2014. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/79704 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:06.816Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2021 |
| publishDateRange | 2021 |
| publishDateSort | 2021 |
| 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:2263/79704 The compounding method for finding bivariate noncentral distributions Bekker, Andriette, 1958- andriette.bekker@up.ac.za Arashi, Mohammad Ferreira, Johannes Theodorus Bivariate Composites Compounding Noncentral Poisson UCTD Dissertation (MSc)--University of Pretoria, 2014. The univariate and bivariate central chi-square- and F distributions have received a decent amount of attention in the literature during the past few decades; the noncentral counterparts of these distributions have been much less present. This study enriches the existing literature by proposing bivariate noncentral chi-square and F distributions via the employment of the compounding method with Poisson probabilities. This method has been used to a limited extent in the field of distribution theory to obtain univariate noncentral distributions; this study extends some results in literature to the corresponding bivariate setting. The process which is followed to obtain such bivariate noncentral distributions is systematically described and motivated. Some distributions of composites (univariate functions of the dependent components of the bivariate distributions) are derived and studied, in particular the product, ratio, and proportion. The benefit of introducing these bivariate noncentral distributions and their respective composites is demonstrated by graphical representations of their probability density functions. Furthermore, an example of possible application is given and discussed to illustrate the versatility of the proposed models. Statistics MSc Unrestricted 2021-04-30T12:21:58Z 2021-04-30T12:21:58Z 2014 2014-04 Dissertation Ferreira, JT 2014, The compounding method for finding bivariate noncentral distributions, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/79704> M14/9/157 http://hdl.handle.net/2263/79704 en © 2019 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 | Bivariate Composites Compounding Noncentral Poisson UCTD The compounding method for finding bivariate noncentral distributions |
| title | The compounding method for finding bivariate noncentral distributions |
| title_full | The compounding method for finding bivariate noncentral distributions |
| title_fullStr | The compounding method for finding bivariate noncentral distributions |
| title_full_unstemmed | The compounding method for finding bivariate noncentral distributions |
| title_short | The compounding method for finding bivariate noncentral distributions |
| title_sort | compounding method for finding bivariate noncentral distributions |
| topic | Bivariate Composites Compounding Noncentral Poisson UCTD |
| url | http://hdl.handle.net/2263/79704 |