On Absolute and Relative Change

TL;DR

This paper introduces two new one-parameter families of change indicators derived from axioms, linking classical measures like absolute, relative, and log-ratio changes in a unified framework.

Contribution

It proposes a novel axiomatic approach to define change indicators that unify and generalize classical measures.

Findings

New one-parameter change indicators derived from axioms

Unified framework linking absolute, relative, and log-ratio change measures

Theoretical foundation for comparing different change metrics

Abstract

Based on an axiomatic approach we propose two related novel one-parameter families of indicators of change which put in a relation classical indicators of change such as absolute change, relative change and the log-ratio.