Andishe_ye Amari

Andishe_ye Amari

A Bayesian predictive density-based variability moving average control chart

Document Type : Original Article

Authors
University of Isfahan
Abstract
Recently, several control charts have been introduced in the statistical process control literature that are based on the idea of ​​Bayesian predictive density. Among these charts is the variability control chart, which we call the VBPD chart.
In this paper, we add the idea of ​​a moving average to the VBPD chart, thus introducing a new control chart that has all the advantages of the original VBPD chart and, in addition, has a new advantage, which is sensitivity to small changes in the process variance. We call this new chart the MAVBPD chart.
In both the VBPD and MAVBPD charts, the parameters are assumed to be unknown, but the control statistic in both cases follows a known Fisher distribution, so that simulation is not required to calculate the control limits.
Keywords

Volume 18, Issue 2
February 2014
Pages 73-82

  • Receive Date 15 May 2025
  • First Publish Date 15 May 2025
  • Publish Date 20 February 2014