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Open AccessArticle

Design of a Control Chart Using Extended EWMA Statistic

1
Department of Statistics, National College of Business Administration and Economics, Lahore 54000, Pakistan
2
Department of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore 54000, Pakistan
3
Department of Statistics, University of Veterinary and Animal Sciences (Jhang Campus), Jhang 35200, Pakistan
4
Department of Statistics, Faculty of Science, King Abdulaziz University, Jeddah 21551, Saudi Arabia
*
Author to whom correspondence should be addressed.
Technologies 2018, 6(4), 108; https://doi.org/10.3390/technologies6040108
Received: 30 October 2018 / Revised: 13 November 2018 / Accepted: 14 November 2018 / Published: 16 November 2018
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Abstract

In the present paper, we propose a control chart based on extended exponentially weighted moving average (EEWMA) statistic to detect a quick shift in the mean. The mean and variance expression of the proposed EEWMA statistic are derived. The proposed EEWMA statistic is unbiased and simulation results show a smaller variance as compared to the traditional EWMA. The performance of the proposed control chart with the existing chart based on the EWMA statistic is evaluated in terms of average run length (ARL). Various tables were constructed for different values of parameters. The comparison of the EEWMA control chart with the traditional EWMA and Shewhart control charts illustrates that the proposed control chart performs better in terms of quick detection of the shift. The working procedure of the proposed control chart was also illustrated by simulated and application data. View Full-Text
Keywords: EWMA; EEWMA statistic; unbiased; average run length; normal distribution EWMA; EEWMA statistic; unbiased; average run length; normal distribution
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Naveed, M.; Azam, M.; Khan, N.; Aslam, M. Design of a Control Chart Using Extended EWMA Statistic. Technologies 2018, 6, 108.

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