Monitoring of Multiple Binary Data Streams using a Hierarchical Model Structure

作者：Das Devashish; Chen Yong; Zhou Shiyu^*; Sievenpiper Crispian

来源：Quality and Reliability Engineering International, 2016, 32(4): 1307-1319.

DOI：10.1002/qre.1831

• attribute control chart
• multi-stream process monitoring
• over-dispersed binary data monitoring

Multiple streams of binary data occur commonly in practice. In this paper, we propose a hierarchical statistical model to describe multi-stream binary data that demonstrate over-dispersion. In such a model, a group of binary streams in a multi-stream dataset is modeled by a beta-binominal hierarchical mixture distribution. Using this hierarchical model structure, a cumulative sum (CUSUM) chart based on the log-likelihood ratio is developed to monitor all the data streams simultaneously. The performance of the CUSUM chart is investigated and compared to conventional monitoring schemes through numerical studies and a real-world dataset. It is shown that the CUSUM method using the hierarchical model is effective and advantageous over the conventional methods.

• 出版日期2016-6