On the Preservation of Comparison of Distorted Histograms

Abstract

The necessity of comparison of histograms with the help of relationship of type “more or less” arises in many problems of decision-making. There are many approaches to solve this problem. But the histograms can be distorted. Then, we have to find the conditions on the distortions under which the comparison of the two histograms does not change. The solution of this problem is researched in the paper with respect to three popular probabilistic methods of comparison.