Design of a sign chart using a new EWMA statistic. Issue 6 (18th March 2020)

• Record Type: Journal Article
• Authors: Aslam, Muhammad; Ali Raza, Muhammad; Azam, Muhammad; Ahmad, Liaquat; Jun, Chi-Hyuck
• Is Part Of: Communications in statistics. Volume 49:Issue 6(2020)
• Page Start: 1299
• Page End: 1310
• Publication Date: 2020-03-18
• Subjects: EWMA statistic -- average run length -- non parametric control charts -- sign statistic -- binomial distribution -- Monte Carlo simulation; 62P30; 62N05; Mathematical statistics -- Periodicals; Mathematics; Statistics; 519.2
• DOI: 10.1080/03610926.2018.1563163
• Languages: English
• ISSNs: 0361-0926

Abstract

Abstract: In this article, a new non parametric control chart based on the modified or controlled exponentially weighted moving average (EWMA) statistic is developed to monitor the process deviation from the target value. The proposed control chart is evaluated for different values of design parameters using the average run length as a performance criterion under various sample sizes. The proposed chart is compared with the existing non parametric EWMA sign control chart. It is observed that the proposed chart is better than the existing EWMA sign control chart in terms of run length characteristics. An empirical example is provided for the practical implementation of the proposed chart.