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The theory and application of bootstrap control charts for statistical process control
Mini Dissertation (MSc (Mathematical Statistics))--University of Pretoria, 2017.
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| Format: | Thesis |
| Language: | English |
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University of Pretoria
2023
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| _version_ | 1867613538586984448 |
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| access_status_str | Open Access |
| author2 | Graham, Marien Alet |
| author_browse | Graham, Marien Alet |
| author_facet | Graham, Marien Alet |
| 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:2263/93834 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:37:44.604Z |
| 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:2263/93834 The theory and application of bootstrap control charts for statistical process control Graham, Marien Alet Coetzee, Evert Johan UCTD Bootstrap control charts Statistical Process Control Application Mini Dissertation (MSc (Mathematical Statistics))--University of Pretoria, 2017. Chapter 1 of this mini-dissertation gives an introduction to Statistical Process Control (SPC) and provides some background on the Shewhart, CUSUM and the EWMA control charts. The bootstrap by [9] Efron (1979) is discussed and a brief overview of Phase I and Phase II analysis is given. The chapter concludes with the research objectives of this dissertation. Chapter 2 of this dissertation provides a literature review of bootstrap Shewhart, cumulative sum (CUSUM), exponentially weighted moving average (EWMA) and multivariate control charts. The Shewhart-type control charts mostly focus on the bootstrap procedures proposed by [2] Bajgier (1992), [34] Seppala, Moskowitz, Plante and Tang (1995) and [23] Liu and Tang (1996). An overview of the bootstrap CUSUM charts proposed by [7] Chatterjee and Qiu (2009) and [1] Ambartsoumian and Jeske (2015) is given. A review of the parametric bootstrap control chart used by [33] Saleh, Mahmoud, Jones-Farmer, Zwetsloot and Woodal (2015) to construct EWMA control charts is given. The chapter concludes with a review of the bootstrap T2 control chart proposed by [32] Phaladiganon, Kim, Chen, Baek and Park (2011). In Chapter 3 the design of a potential nonparametric bootstrap EWMA control is given. The chapter concludes with two examples of how the control limits for such a chart can be constructed for two different statistics. Chapter 4 of this mini-dissertation examines conditional in-control (IC) and out-of-control (OOC) average run-length, for the chart proposed in Chapter 3, taking different underlying process distributions into consideration. In Chapter 5 the the mini-dissertation is concluded by summarising the research that has been done and providing recommendations for further research. Statistics MSc (Mathematical Statistics) Unrestricted Faculty of Natural and Agricultural Sciences 2023-12-20T08:53:53Z 2023-12-20T08:53:53Z 2017-09 2017-05 Mini Dissertation * S2017 http://hdl.handle.net/2263/93834 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 Bootstrap control charts Statistical Process Control Application The theory and application of bootstrap control charts for statistical process control |
| title | The theory and application of bootstrap control charts for statistical process control |
| title_full | The theory and application of bootstrap control charts for statistical process control |
| title_fullStr | The theory and application of bootstrap control charts for statistical process control |
| title_full_unstemmed | The theory and application of bootstrap control charts for statistical process control |
| title_short | The theory and application of bootstrap control charts for statistical process control |
| title_sort | theory and application of bootstrap control charts for statistical process control |
| topic | UCTD Bootstrap control charts Statistical Process Control Application |
| url | http://hdl.handle.net/2263/93834 |