Term of Award
Spring 2023
Degree Name
Master of Science in Mathematics (M.S.)
Document Type and Release Option
Thesis (restricted to Georgia Southern)
Copyright Statement / License for Reuse
This work is licensed under a Creative Commons Attribution 4.0 License.
Department
Department of Mathematical Sciences
Committee Chair
Charles Champ
Committee Member 1
Andrew Sills
Committee Member 2
Kyle Bradford
Abstract
The quality control chart has long been used to monitor for a change in an industrial process. We discuss the Shewhart chart and CUSUM chart in their use for detecting a change in the process mean. We discuss the two sided CUSUM chart proposed by Uys and Lombard (2007). Integral equations are derived that are useful in analyzing the performance of the CUSUM charts. The performance of the Shewhart chart, the CUSUM chart, and the V-mask CUSUM chart in detecting a change point of the process mean are compared using simulation.
OCLC Number
1411045398
Catalog Permalink
https://galileo-georgiasouthern.primo.exlibrisgroup.com/permalink/01GALI_GASOUTH/1r4bu70/alma9916565845902950
Recommended Citation
Patel, Apurv, "Change Point Analysis Using Cumulative Sum Charts" (2023). Electronic Theses and Dissertations. 2598.
https://digitalcommons.georgiasouthern.edu/etd/2598
Research Data and Supplementary Material
No
