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A Class of Gauged Inter Quantile Deviation Control Charts

Year: 2025
Type: article
Abstract: Control charts are widely used in statistical quality control to monitor and detect shifts in the process variation. A class of control charts based on gauged inter quantile deviation (GIQD) is proposed for monitoring process variability. This class allows for the flexibility in selecting control charts based on the deviation of a pair of quantiles such as percentiles, deciles or quartiles. The proposed class of GIQD control charts are evaluated under various distributions. Its performance is analyzed and optimality of the class is discussed. An illustrative example is provided to demonstrate its practical applicability.
Institution: Karnatak University
Open Access status: green
OpenAlex ID: W7118009892
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