Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes

<p dir="ltr">In this work, both the cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) control charts have been reconfigured to monitor processes using a Bayesian approach. Our construction of these charts are informed by posterior and posterior predictive distri...

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محفوظ في:
التفاصيل البيبلوغرافية
المؤلف الرئيسي: Chelsea L. Jones (21606239) (author)
مؤلفون آخرون: Abdel‐Salam G. Abdel‐Salam (14777080) (author), D'Arcy Mays (21606242) (author)
منشور في: 2022
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author Chelsea L. Jones (21606239)
author2 Abdel‐Salam G. Abdel‐Salam (14777080)
D'Arcy Mays (21606242)
author2_role author
author
author_facet Chelsea L. Jones (21606239)
Abdel‐Salam G. Abdel‐Salam (14777080)
D'Arcy Mays (21606242)
author_role author
dc.creator.none.fl_str_mv Chelsea L. Jones (21606239)
Abdel‐Salam G. Abdel‐Salam (14777080)
D'Arcy Mays (21606242)
dc.date.none.fl_str_mv 2022-11-17T09:00:00Z
dc.identifier.none.fl_str_mv 10.1002/qre.3229
dc.relation.none.fl_str_mv https://figshare.com/articles/journal_contribution/Novel_Bayesian_CUSUM_and_EWMA_control_charts_via_various_loss_functions_for_monitoring_processes/29413373
dc.rights.none.fl_str_mv CC BY 4.0
info:eu-repo/semantics/openAccess
dc.subject.none.fl_str_mv Engineering
Manufacturing engineering
Mathematical sciences
Statistics
Bayesian control charts
CUSUM chart
EWMA chart
Posterior predictive distribution
Statistical process control (SPC)
Process monitoring
dc.title.none.fl_str_mv Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
dc.type.none.fl_str_mv Text
Journal contribution
info:eu-repo/semantics/publishedVersion
text
contribution to journal
description <p dir="ltr">In this work, both the cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) control charts have been reconfigured to monitor processes using a Bayesian approach. Our construction of these charts are informed by posterior and posterior predictive distributions found using three loss functions: the squared error, precautionary, and linex. We use these control charts on count data, performing a simulation study to assess chart performance. Our simulations consist of sensitivity analysis of the out‐of‐control shift size and choice of hyper‐parameters of the given distributions. Practical use of theses charts are evaluated on real data.</p><h2>Other Information</h2><p dir="ltr">Published in: Quality and Reliability Engineering International<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1002/qre.3229" target="_blank">https://dx.doi.org/10.1002/qre.3229</a></p>
eu_rights_str_mv openAccess
id Manara2_d9c3a6e042adfe439e82986145f5d853
identifier_str_mv 10.1002/qre.3229
network_acronym_str Manara2
network_name_str Manara2
oai_identifier_str oai:figshare.com:article/29413373
publishDate 2022
repository.mail.fl_str_mv
repository.name.fl_str_mv
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rights_invalid_str_mv CC BY 4.0
spelling Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processesChelsea L. Jones (21606239)Abdel‐Salam G. Abdel‐Salam (14777080)D'Arcy Mays (21606242)EngineeringManufacturing engineeringMathematical sciencesStatisticsBayesian control chartsCUSUM chartEWMA chartPosterior predictive distributionStatistical process control (SPC)Process monitoring<p dir="ltr">In this work, both the cumulative sum (CUSUM) and exponentially weighted moving average (EWMA) control charts have been reconfigured to monitor processes using a Bayesian approach. Our construction of these charts are informed by posterior and posterior predictive distributions found using three loss functions: the squared error, precautionary, and linex. We use these control charts on count data, performing a simulation study to assess chart performance. Our simulations consist of sensitivity analysis of the out‐of‐control shift size and choice of hyper‐parameters of the given distributions. Practical use of theses charts are evaluated on real data.</p><h2>Other Information</h2><p dir="ltr">Published in: Quality and Reliability Engineering International<br>License: <a href="http://creativecommons.org/licenses/by/4.0/" target="_blank">http://creativecommons.org/licenses/by/4.0/</a><br>See article on publisher's website: <a href="https://dx.doi.org/10.1002/qre.3229" target="_blank">https://dx.doi.org/10.1002/qre.3229</a></p>2022-11-17T09:00:00ZTextJournal contributioninfo:eu-repo/semantics/publishedVersiontextcontribution to journal10.1002/qre.3229https://figshare.com/articles/journal_contribution/Novel_Bayesian_CUSUM_and_EWMA_control_charts_via_various_loss_functions_for_monitoring_processes/29413373CC BY 4.0info:eu-repo/semantics/openAccessoai:figshare.com:article/294133732022-11-17T09:00:00Z
spellingShingle Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
Chelsea L. Jones (21606239)
Engineering
Manufacturing engineering
Mathematical sciences
Statistics
Bayesian control charts
CUSUM chart
EWMA chart
Posterior predictive distribution
Statistical process control (SPC)
Process monitoring
status_str publishedVersion
title Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
title_full Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
title_fullStr Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
title_full_unstemmed Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
title_short Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
title_sort Novel Bayesian CUSUM and EWMA control charts via various loss functions for monitoring processes
topic Engineering
Manufacturing engineering
Mathematical sciences
Statistics
Bayesian control charts
CUSUM chart
EWMA chart
Posterior predictive distribution
Statistical process control (SPC)
Process monitoring