On the Relative Quantities Occurring within Physical Data Sets

TL;DR

This paper introduces a statistical measure for analyzing the relative occurrence of quantities in physical data sets, demonstrating its consistency across real and theoretical distributions.

Contribution

It presents a new measure for relative quantities in data sets and validates it through empirical and theoretical analysis of physical and abstract distributions.

Findings

Measure yields consistent results across diverse data sets

Empirical results align with theoretical convergence limits

Applicable to both real-world and abstract distributions

Abstract

A statistical measure is given expressing relative occurrences of quantities within a given data set. Application of this measure on several real life physical data sets and some abstract distributions are shown to yield consistent results. These empirical results also correspond almost exactly to the theoretical converging limit of such a measure mathematically constructed for k over x distribution defined over an infinite range.