Abstract
A type of hybrid exponential weighted moving average (HEWMA) control chart is presented by using two-parametric ratio estimator to strengthen the performance of control chart for detecting shift in process mean at phase-II. Auxiliary information is incorporated by assuming the bivariate normal distribution for study variable Y and auxiliary variable X. Monte Carlo simulation method is used to calculate the average run length of the proposed control chart. In order to detect the small and moderate shift, the proposed control chart performed better than existing HEWMA control chart.
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The authors are grateful to the reviewers for their suggestions which helped in improving substantially, the earlier version of this article.
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Appendix
Appendix
Following tables show the ARLs of the MdHEWMA control chart at different correlations using α = 0.1414 (coefficient of variation) and β = 1.126 (mean deviation) (Tables 12, 13, and 14).
Following tables show the ARLs of the MdHEWMA control chart at different correlations using α = 0.135 (coefficient of quartile deviation) and β = 0.9537 (quartile deviation) (Tables 15, 16, and 17).
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Noor-ul-Amin, M., Khan, S. & Sanaullah, A. HEWMA Control Chart Using Auxiliary Information. Iran J Sci Technol Trans Sci 43, 891–903 (2019). https://doi.org/10.1007/s40995-018-0585-x
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DOI: https://doi.org/10.1007/s40995-018-0585-x