Phase I control chart study of profile monitoring using linear quantile mixed models

Jiaming Fu; Xuemin Zi

doi:10.1117/12.3035224

21 July 2024 Phase I control chart study of profile monitoring using linear quantile mixed models

Jiaming Fu, Xuemin Zi

Proceedings Volume 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024); 132191I (2024) https://doi.org/10.1117/12.3035224
Event: 4th International Conference on Applied Mathematics, Modelling and Intelligent Computing (CAMMIC 2024), 2024, Kaifeng, China

Abstract

Addressing the challenge of monitoring profiles in the context of the phase I linear quantile mixed model, this paper assumes that binary profiles obtained from fixed samples collected over time adhere to a normal distribution. We then introduce a control chart grounded in the linear quantile mixed model, aimed at tracking changes in regression coefficients and exploring the robustness of the F-test estimation coefficient. Simulation results demonstrate that the proposed control chart offers a robust tool for statistical process control.

(2024) Published by SPIE. Downloading of the abstract is permitted for personal use only.

Citation Download Citation

Jiaming Fu and Xuemin Zi "Phase I control chart study of profile monitoring using linear quantile mixed models", Proc. SPIE 13219, Fourth International Conference on Applied Mathematics, Modelling, and Intelligent Computing (CAMMIC 2024), 132191I (21 July 2024); https://doi.org/10.1117/12.3035224

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