Attribute Control Chart for Multivariate Poisson Distribution

Abstract

In this study, a control chart is constructed to monitor multivariate Poisson count data, called the MP chart. The control limits of the MP chart are developed by an exact probability method based on the sum of defects or non conformities for each quality characteristic. Numerical examples are used to illustrate the MP chart. The MP chart is evaluated by the average run length (ARL) in simulation. The result indicates that the MP chart is more appropriate than the Shewhart-type control chart when the correlation between variables exists.

Keywords:

• Attribute control chart
• Average run length
• Multivariate Poisson distribution

Mathematics Subject Classification:

• 62P30

Acknowledgments

We are thankful to the editor and referee for their detailed comments that improved the final version of the article.