EWMA and DEWMA repetitive control charts under non-normal processes |
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| Authors: | Muhammad Shujaat Nawaz Muhammad Azam Muhammad Aslam |
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| Affiliation: | aDepartment of Statistics, National College of Business Administration and Economics, Lahore, Pakistan;bDepartment of Statistics and Computer Science, University of Veterinary and Animal Sciences, Lahore, Pakistan;cDepartment of Statistics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia |
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| Abstract: | ![]()
In this paper, we present a repetitive sampling method to construct control charts using exponentially weighted moving averages (EWMA) and double exponentially weighted moving averages (DEWMA) to monitor shift in the process. For non-normal processes, t-distribution with various degrees of freedom (i.e. ) is used as symmetric distribution, gamma distribution with unit scale parameter and various shape parameters (i.e. ) is used as positively skewed distribution and Weibull distribution with unit scale parameter and various shape parameters (i.e. 10 and 20) is used as negatively skewed distribution. We use Monte Carlo simulations to check whether the process is out of control. We use average run length as a tool to find the ability of proposed control charts to identify a shift earlier in a process, as compared to other control charts currently used to monitor the same type of process. The proposed control charts are applied to two real datasets.KEYWORDS: Control charts, EWMA statistic, DEWMA statistic, t distribution, gamma distribution, Weibull distribution |
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