A method for statistical comparison of histograms

TL;DR

This paper introduces a statistical method to compare two histograms, testing if they originate from the same distribution and estimating their differences, based on the concept of significance of deviation.

Contribution

It presents a novel approach for hypothesis testing and quantifying differences between histograms using the significance of deviation measure.

Findings

Effective in determining if two histograms come from the same distribution

Provides a quantitative estimate of the difference between histograms

Applicable for various statistical analysis scenarios

Abstract

We propose an approach for testing the hypothesis that two realizations of the random variables in the form of histograms are taken from the same statistical population (i.e. that two histograms are drawn from the same distribution). The approach is based on the notion "significance of deviation". Our approach allows also to estimate the statistical difference between two histograms.