Regression-based limits for multivariate poisson control chart

C-charts and U-charts are widely applied for Poisson distribution to monitor the number of defects in the univariate process. More than one quality characteristic for attribute data with Poisson distribution is of interest in many industrial applications. A control chart is constructed for monitoring multivariate Poisson count data, called the MP chart. The MP chart is constructed based on the sum of defects or nonconformities in one single control chart. In this study, the control limits in the multivariate Poisson process are estimated by using multiple linear regression model since the calculation of control limits is complicated. Two examples are provided to illustrate the effectiveness of this approach.