Some aspects of the theory of statistical control schemes

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 “Markov-type” control schemes and discuss some of its properties.