Weighted Wavelets Coefficients for Mean Monitoring

OWave Control Chart for Population Mean using Wavelet Coefficients (details and approximations, db2)

SPM
Author

Achraf Cohen

Published

January 15, 2016

Overview

A control chart for monitoring the process mean, called OWave (Orthogonal Wavelets), is proposed. The statistic that is plotted in the proposed control chart is based on weighted wavelets coefficients, which are provided through the Discrete Wavelets Transform using Daubechies wavelets family Cohen, Tiplica, and Kobi (2016a).

References

Cohen, Achraf, Teodor Tiplica, and Abdessamad Kobi. 2016a. “Design of Experiments and Statistical Process Control Using Wavelets Analysis.” Control Engineering Practice 49: 129–38.
———. 2016b. “Owave Control Chart for Monitoring the Process Mean.” Control Engineering Practice 54: 223–30.