On the efficiency of Gini's mean difference

TL;DR

This paper evaluates the efficiency of Gini's mean difference, demonstrating it combines benefits of mean deviation and standard deviation, offering a potentially superior measure of variability.

Contribution

It provides an analysis of Gini's mean difference's efficiency, highlighting its advantages over traditional measures.

Findings

Gini's mean difference effectively combines properties of mean deviation and standard deviation.

It offers improved efficiency as a measure of variability.

Supports using Gini's mean difference in statistical analysis.

Abstract

We examine the efficiency of the mean deviation and Gini's mean difference (the mean of all pairwise distances). Our findings support the viewpoint that Gini's mean difference combines the advantages of the mean deviation and the standard deviation.