A New Adaptive Variable Sample Size Approach in EWMA Control Chart

Amirhossein Amiri · Ali Nedaie · Mahdi Alikhani

39 citations0/0 files storedCommunications in Statistics - Simulation and Computation

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

Abstract

Adaptive control charts have been developed for improving the capability of control charts in detecting small shifts. In this article, we propose a new exponential weighted moving average control chart with variable sample size, in which the sample size is determined as an integer linear function by EWMA statistic value. The performance of the proposed VSS EWMA control chart is compared with FSS EWMA as well as traditional VSS EWMA control charts. The results show the better performance of the proposed VSS strategy respect to the traditional one and fixed sample size.

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References

1959Control Chart Tests Based on Geometric Moving Averages 2000Control Chart Tests Based on Geometric Moving Averages 1994XCharts with Variable Sample Size 1993X¯ chart with adaptive sample sizes 2006An adaptive chart for monitoring the process mean and variance 2002Optimal np Control Charts with Variable Sample Sizes or Variable Sampling Intervals 2009A hierarchy of adaptive control charts 2006Economic Design of EWMA Charts with Variable Sampling Intervals

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2015The Performance of Variable Sample Size Chart with Measurement Errors 2015A direct procedure for monitoring the coefficient of variation using a variable sample size scheme 2018Hotelling's T2 control charts with fixed and variable sample sizes for monitoring short production runs 2018VSSI median control chart with estimated parameters and measurement errors 2022An Adaptive EWMA Control Chart Based on Principal Component Method to Monitor Process Mean Vector 2023

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