Design of a Control Chart Using a Modified EWMA Statistic |
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Authors: | Nasrullah Khan Muhammad Aslam Chi‐Hyuck Jun |
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Affiliation: | 1. Department of Statistics, College of Veterinary and Animal Science, Jhang, University of Veterinary and Animal Sciences, Lahore, Pakistan;2. Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia;3. Department of Industrial and Management Engineering, POSTECH, Pohang, Korea |
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Abstract: | In this paper, the design of a control chart is given using a modified exponentially weighted moving average statistic under the assumption that the quality characteristic of interest follows the normal distribution. The structure of the proposed control chart is developed, and the necessary measures are derived to find the average run length for in‐control and out‐of‐control processes. The efficiency of the proposed chart is compared with two existing control charts in terms of the average run length. The results are explained with the help of industrial example. Copyright © 2016 John Wiley & Sons, Ltd. |
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Keywords: | control chart EWMA statistic normal distribution average run length |
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