We are excited to announce that the repository will soon undergo an upgrade, featuring a new look and feel along with several enhanced features to improve your experience. Please be on the lookout for further updates and announcements regarding the launch date. We appreciate your support and look forward to unveiling the improved platform soon.
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 |