SKEW NORMAL DISTRIBUTION AND THE DESIGN OF CONTROL CHARTS FOR AVERAGES

Tzong‐Ru Tsai

31 citations0/0 files storedInternational Journal of Reliability Quality and Safety Engineering

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

Abstract

The paper develops two new control charts and process capability ratios based on the skew normal distribution to monitor the process average and evaluate the process capability of non-normal data. Both control charts reduce to Shewhart-type control charts when the underlying distribution of quality characteristic is symmetric. A simulation study is conducted to compare the performances of the proposed control charts with those of existing control charts. Simulation results indicate that considerable improvement over those of existing control charts can be achieved when the proposed control charts are used to monitor the process average of non-normal data. Two examples are presented for illustration.

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References

2005Introduction to Statistical Quality Control 2000Statistical Methods for Quality Improvement 1995XandRControl Charts for Skewed Populations 2001Control charts for positively‐skewed populations with weighted standard deviations 1994PRACTICAL IMPLEMENTATION OF THE PROCESS CAPABILITY INDICES 2003Skewness correction X and R charts for skewed distributions 1998Application of non-normal process capability indices to semiconductor quality control 1995WHY NORMAL DISTRIBUTIONS AREN'T [ALL THAT NORMAL]

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2009A Multivariate Synthetic Control Chart for Monitoring the Process Mean Vector of Skewed Populations Using Weighted Standard Deviations 2014The Design of andRControl Charts for Skew Normal Distributed Data 2015An integrated approach for the optimization of tolerance design and quality cost 2014Economic design of two-stage control charts with skewed and dependent measurements 2018Adaptive control charts for skew‐normal distribution

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