The GLR Control Chart for the Maxwell Distribution
Abstract
This paper proposes the generalized likelihood ratio (GLR) control chart for monitoring the scale parameter of the Maxwell distribution. A simulation approach is used to evaluate the performance of proposed chart in terms of the average number of samples to signal (ANSS).The performance of the proposed GLR chart is compared with the Shewhart and CUSUM charts. Simulation results show that the GLR control chart perform better than the Shewhart and CUSUM charts in detecting a wide range of parameter shifts in the Maxwell distributed process. A numerical example based on real data set is provided to illustrate the application of the proposed control chart.
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