A critique on the use of the belief statistic for process monitoring

Abdul Haq · William H. Woodall

8 citations0/0 files storedQuality and Reliability Engineering International

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Advanced Statistical Process Monitoring Fault Detection and Control Systems Management Systems and Quality Improvement

Abstract

Abstract Recently, several control charts have been proposed in the statistical process monitoring literature based on a belief statistic. In this article we compare the zero‐state average run‐lengths and conditional expected delay profiles of the exponentially weighted moving average (EWMA) and belief statistic‐based (BSB) charts. We show that an ordinary EWMA chart is far better than the BSB chart when detecting delayed shifts in the mean of a normally distributed process.

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1990Exponentially Weighted Moving Average Control Schemes: Properties and Enhancements 1959Control Chart Tests Based on Geometric Moving Averages 1987Introduction to Statistical Quality Control 2013Control Charts Based on the Exponential Distribution: Adapting Runs Rules for the t Chart 2019Rethinking control chart design and evaluation 2022A critique of a variety of “memory-based” process monitoring methods 2009A new monitoring design for uni-variate statistical quality control charts 2012On Assessing the Performance of Sequential Procedures for Detecting a Change

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