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Generalised beta type II distributions - emanating from a sequential process
Thesis (PhD)--University of Pretoria, 2013.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2014
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| _version_ | 1867613465605046272 |
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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 | © 2013 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 | Thesis (PhD)--University of Pretoria, 2013. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/40233 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:34.949Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2014 |
| publishDateRange | 2014 |
| publishDateSort | 2014 |
| 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:2263/40233 Generalised beta type II distributions - emanating from a sequential process Bekker, Andriette, 1958- Human, Schalk William Roux, Jacobus J.J. Adamski, Karien Generalised multivariate beta type II distribution Sequential quality monitoring procedure Density functions Statistics UCTD Thesis (PhD)--University of Pretoria, 2013. This study focuses on the development of a generalised multivariate beta type II distribution as well as the noncentral and bimatrix counterparts with positive domain. These models emanate from a sequential quality monitoring procedure with the normal and multivariate normal distributions as the underlying process distributions. Three different scenarios are considered, namely: 1. The variance is monitored from a normal process and the mean remains unchanged; 2. The above-mentioned scenario but the known mean also encounters a sustained shift; 3. The covariance structure of a multivariate normal distribution is monitored with the known mean vector unchanged. The statistics originating from the above-mentioned scenarios considered are constructed from different dependent chi-squared or Wishart ratios. Exact expressions are derived for the probability density functions of these statistics. These new distributions contribute to the statistical discipline in the sense that it can serve as alternatives to existing probability models, and can be used in determining the performance of the quality monitoring procedure. gm2014 Statistics unrestricted 2014-06-17T13:04:15Z 2014-06-17T13:04:15Z 2014-04-23 2013 Thesis Adamski, K 2013, Generalised beta type II distributions - emanating from a sequential process, PhD thesis, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/40233> D14/4/124/gm http://hdl.handle.net/2263/40233 en © 2013 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 | Generalised multivariate beta type II distribution Sequential quality monitoring procedure Density functions Statistics UCTD Generalised beta type II distributions - emanating from a sequential process |
| title | Generalised beta type II distributions - emanating from a sequential process |
| title_full | Generalised beta type II distributions - emanating from a sequential process |
| title_fullStr | Generalised beta type II distributions - emanating from a sequential process |
| title_full_unstemmed | Generalised beta type II distributions - emanating from a sequential process |
| title_short | Generalised beta type II distributions - emanating from a sequential process |
| title_sort | generalised beta type ii distributions emanating from a sequential process |
| topic | Generalised multivariate beta type II distribution Sequential quality monitoring procedure Density functions Statistics UCTD |
| url | http://hdl.handle.net/2263/40233 |