Attribute Control Chart for Multivariate Poisson Distribution

Jing-Er Chiu · Tsen-I Kuo

99 citations0/0 files storedCommunication in Statistics- Theory and Methods

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

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.

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References

1995A review of multivariate control charts 2000Kollár Ádám Ferenc levelezése 2002Statistical Models and Control Charts for High-Quality Processes 2003Process monitoring for multiple count data using generalized linear model-based control charts 1998Control chart for multivariate attribute processes 1973Quality Control Methods for Multivariate Binomial and Poisson Distributions

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