A nonparametric EWMA chart with auxiliary information for process mean

Abdul Haq

12 citations0/0 files storedCommunication in Statistics- Theory and Methods

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

Abstract

In this paper, a new nonparametric exponentially weighted moving average (EWMA) sign chart is constructed with the help of an auxiliary-information-based (AIB) estimator of the process mean, named AIB-EWMA sign chart. The run length characteristics of the proposed control chart are computed using the Markov chain method. Using the bivariate Plackett’s distribution, the average run length profiles of the AIB-EWMA sign chart are compared with those of the EWMA sign chart. It turns out that the AIB-EWMA sign chart performs uniformly and substantially better than the EWMA sign chart when detecting different sizes of shift in the process mean.

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References

1992Introduction to Statistical Quality Control 1972An Approach to the Probability Distribution of Cusum Run Length 2001Nonparametric Control Charts: An Overview and Some Results 1997Introduction to Statistical Quality Control 1995Nonparametric quality control charts based on the sign statistic 2004A Distribution-Free Shewhart Quality Control Chart Based on Signed-Ranks 2010A new nonparametric EWMA Sign Control Chart 2011A nonparametric exponentially weighted moving average signed-rank chart for monitoring location

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2021A new multivariate control chart for monitoring the quality of a process with the aid of auxiliary information

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