Software-Analytical Calculation of Invariant Characteristics of Random Point Images Based on Order Statistics

A set of classification features of random point images is proposed for their use in problems of identifying anomalous concentrations in a processed data stream or, conversely, identifying areas and fragments with increased inter-element dispersion. A significant deviation of the numerical values of features calculated from the ensemble of analyzed experimental images from pre-calculated theoretical values corresponding to random point images may indicate the presence of a regular component or an “anomalous” component in the processed data array. Theoretical and software calculations performed using specialized computer algebra tools are presented.