Performance of Nonparametric Wilcoxon Test with Reference to the Samples with Singularities

An approach is proposed for improving the solvability of the data discrimination problem through nonparametric Wilcoxon sign ranks criterion under cases with singularities in compared data samples of the type “vertical displacement” and “scale”. The modified Wilcoxon criterion is considered as a tool for identifying deviations in the conduct of the technological process, which do not exceed the threshold values, but have a significant impact on the technical and economic indicators. The proposed method of identifying critical events using the modified Wilcoxon criterion makes it possible to determine both the fact of the presence of an event and, in a number of cases, to provide their identification. It is proved that the power of the proposed modified Wilcoxon test does not degrade compared to the traditional Wilcoxon test. The executed example of processing the power consumption data of the petrochemical industrial enterprise allowed testing the effect of using the modified Wilcoxon criterion as a part of the computational procedure for the developed algorithm.