A Combination of CUSUM Charts for Monitoring a Zero-Inflated Poisson Process

作者:He Shuguang*; Li Shijie; He Zhen
来源:Communications in Statistics - Simulation and Computation, 2014, 43(10): 2482-2497.
DOI:10.1080/03610918.2012.753082

摘要

The Zero-inflated Poisson distribution (ZIP) is used to model the defects in processes with a large number of zeros. We propose a control charting procedure using a combination of two cumulative sum (CUSUM) charts to detect increases in the parameters of ZIP process, one is a conforming run length (CRL) CUSUM chart and another is a zero truncated Poisson (ZTP) CUSUM chart. The control limits of the control charts are obtained using both Markov chain-based methods and simulations. Simulation experiments show that the proposed method outperforms an existing method. Finally, a real example is presented.