Term of Award
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 of Mathematical Sciences
Committee Member 1
Committee Member 2
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.
Patel, Apurv, "Change Point Analysis Using Cumulative Sum Charts" (2023). Electronic Theses and Dissertations. 2598.
Research Data and Supplementary Material
Available for download on Wednesday, April 19, 2028