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The optimized CUSUM and EWMA multi-charts for jointly detecting a range of mean and variance change
Gideon Mensah Engmann1,2, Dong Han1
1School of Mathematical Sciences, Shanghai Jiao Tong University, Shanghai, People's Republic of China.
Abstract:
This article considers the problem of jointly monitoring the mean and variance of a process by multi-chart schemes. Multi-chart is a combination of several single charts which detects changes in a process quickly. Asymptotic analyses and simulation studies show that the optimized CUSUM multi-chart has optimal performance than optimized EWMA multi-chart in jointly detecting mean and variance shifts in an normal observation. A real example that monitors the changes in IBM's stock returns (mean) and risks (variance) is used to demonstrate the performance of the above two multi-charts. The proposed method has been compared to a benchmark and it performed better.
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