A Variable sampling interval EWMA Xbar chart for the mean with auxiliary information

Ng, P. S. and Khoo, B. C. and Yeong, W. C. * and Lim, S. L. (2020) A Variable sampling interval EWMA Xbar chart for the mean with auxiliary information. In: Computational Science and Technology. Lecture Notes in Electrical Engineering, 603 . Springer, Singapore, pp. 113-122. ISBN 978-9811500572

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Official URL: http://doi.org/10.1007/978-981-15-0058-9_12


It is a well-known fact that the exponentially weighted moving average (EWMA) type control chart is very effective in detecting small and moderate shifts. To further enhance the sensitivity of the EWMA control chart in shift detection, this paper proposes the variable sampling interval EWMA chart by using a single auxiliary variable (AI) (abbreviated as VSI EWMA-AI) to monitor the process mean, where the statistic of the proposed chart is based on the information of the study and auxiliary variables. The performance of the proposed chart is evaluated by using the average time to signal (ATS) criterion, where the derivation of ATS formula is presented in this paper. Subsequently, the performance of the proposed chart is compared with the existing EWMA-AI chart in literature. The comparison shows that the VSI EWMA-AI chart has better detection ability in mean shifts than the EWMA-AI chart.

Item Type: Book Section
Additional Information: This book gathers the proceedings of the Sixth International Conference on Computational Science and Technology 2019 (ICCST2019), held in Kota Kinabalu, Malaysia, on 29–30 August 2019.
Uncontrolled Keywords: Average time to signal; markov chain; variable sampling interval; exponentially weighted moving average chart
Subjects: Q Science > QA Mathematics
Divisions: Others > Non Sunway Academics
Sunway University > School of Mathematical Sciences > Department of Applied Statistics
Depositing User: Dr Janaki Sinnasamy
Date Deposited: 02 Oct 2020 06:20
Last Modified: 02 Oct 2020 06:20
URI: http://eprints.sunway.edu.my/id/eprint/1461

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