Journal article
Monitoring of Multiple Binary Data Streams using a Hierarchical Model Structure
Quality and reliability engineering international, Vol.32(4), pp.1307-1319
06/2016
DOI: 10.1002/qre.1831
Abstract
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.
Details
- Title: Subtitle
- Monitoring of Multiple Binary Data Streams using a Hierarchical Model Structure
- Creators
- Devashish Das - University of Wisconsin–MadisonYong Chen - University of IowaShiyu Zhou - University of Wisconsin–MadisonCrispian Sievenpiper - GE Healthcare
- Resource Type
- Journal article
- Publication Details
- Quality and reliability engineering international, Vol.32(4), pp.1307-1319
- Publisher
- Blackwell Publishing Ltd
- DOI
- 10.1002/qre.1831
- ISSN
- 0748-8017
- eISSN
- 1099-1638
- Number of pages
- 13
- Grant note
- name: National Science Foundation, award: 1161077, 1343974, 1161350
- Language
- English
- Date published
- 06/2016
- Academic Unit
- Industrial and Systems Engineering
- Record Identifier
- 9984187052102771
Metrics
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