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Bayesian Quality Control for Autoregressive Moving-average Processes
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    Abstract:

    To explore the quality control under the condition that the sample data in the autoregressive moving-average processes are not independent, time series models were introduced to fit these data. The Bayesian ARMA control charts were constructed with independent residual series data, and used to monitor the quality in autocorrelative processes. The results from simulation show that Bayesian ARMA quality control charts can effectively carry out quality control autoregressive moving-average processes, and avoid alarming incorrectly when the processes are under statistical control and not alarming when processes are out of control.

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