Some aspects of the theory of statistical control schemes

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Abstract
Control schemes (charts) are widely used in industrial quality control as means of monitoring the quality of manufactured products. These schemes provide a set of criteria for testing whether a given sequence of observations corresponds to an "on-target" state of the production process. In the present work we consider some graphical, computational, and statistical aspects of control charting--criteria of performance, methods of derivation, analysis, design, etc. We introduce the class of "Markovtype" control schemes and discuss some of its properties.

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