Bayesian monitoring of times between events : the Shewhart tr-chart

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dc.contributor.author Kumar, Nirpekshi
dc.contributor.author Chakraborti, Subhabrata
dc.date.accessioned 2017-11-09T10:38:34Z
dc.date.issued 2017-04
dc.description.abstract The traditional (frequentist) tr -chart is a Shewhart-type chart useful for monitoring times between events (interarrival times) following an exponential distribution. This problem often arises in high-yield processes where the defect rate is low and hence the conventional attribute charts such as the c-chart and the u-chart are often ine↵ective. We consider this problem under the Bayesian framework and propose a Bayesian tr - chart when the exponential rate parameter is unknown. The Bayesian tr -chart is a Shewhart-type chart that incorporates parameter uncertainty via a prior and a posterior distribution, unlike the traditional tr -chart. The control limits are constructed from the predictive distribution of a plotting statistic. The performance of the proposed chart is evaluated and comparisons are made with the traditional tr -chart. The Bayesian chart is seen to be advantageous in certain situations. An illustrative example is given and a summary and conclusions are o↵ered. en_ZA
dc.description.department Statistics en_ZA
dc.description.embargo 2019-04-30
dc.description.librarian am2017 en_ZA
dc.description.sponsorship The first author’s work was supported by a postdoctoral fellowship from the South African Research Chairs Initiative (SARChI) award. Partial support was also provided by the Department of Statistics, University of Pretoria. en_ZA
dc.description.uri http://asq.org/pub/jqt/index.html en_ZA
dc.identifier.citation Kumar, N. & Chakraborti, S. 2017, 'Bayesian monitoring of times between events : the Shewhart tr-chart', Journal of Quality Technology, vol. 49, no. 2, pp. 136-154. en_ZA
dc.identifier.issn 0022-4065
dc.identifier.uri http://hdl.handle.net/2263/63079
dc.language.iso en en_ZA
dc.publisher Asqc American Society for Quality Control en_ZA
dc.rights © 2017 American Society for Quality. All rights reserved. en_ZA
dc.subject Bayesian and frequentist control charts en_ZA
dc.subject Exponential distribution en_ZA
dc.subject Performance metrics en_ZA
dc.subject Pre-distribution en_ZA
dc.subject Prior and posterior distributions en_ZA
dc.subject Quality control en_ZA
dc.subject Control charts en_ZA
dc.title Bayesian monitoring of times between events : the Shewhart tr-chart en_ZA
dc.type Article en_ZA


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