A Nonparametric Repetitive Sampling DEWMA Control Chart Based on Linear Prediction

Ambreen Shafqat · Zhensheng Huang · Muhammad Aslam · Muhammad Shujaat Nawaz

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Advanced Statistical Process Monitoring Probability and Statistical Research Fault Detection and Control Systems

Abstract

Distribution-free control charts can be useful in statistical process control (SPC) when only limited or no information about the distribution of the data of the process is available. In this paper, a linear prediction related double exponentially weighted moving average (DEWMA) sign control chart using a repetitive sampling scheme (RSNPDEBLP) has been considered for a binomially distributed process variable to improve the efficiency of detecting small drifts in its place of small changes. The proposed RSNPDEBLP control chart is assessed in average run length (ARL) for the various values of sample sizes. The efficiency of the proposed RSNPDEBLP control chart is compared with the existing EWMA and DEWMA sign control charts using single sampling and repetitive sampling schemes in terms of ARLs. When there are small changes in the process after the stabilization period, the proposed control chart is used to control small trends rather than small shifts.

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References

1954CONTINUOUS INSPECTION SCHEMES 1932Economic control of quality of manufactured product 2007Introduction to Statistical Quality Control 2006The Use of Control Charts in Health-Care and Public-Health Surveillance 1959Control Chart Tests Based on Geometric Moving Averages 1987Introduction to Statistical Quality Control 1961The Fundamental Theorem of Exponential Smoothing 1965Smoothing, Forecasting, and Prediction of Discrete Time Series

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