Decomposing the Quantile Ratio Index with Applications to Australian Income and Wealth Data

Authors

  • Luke Anthony Prendergast College of Science, Health and Engineering School of Engineering and Mathematical Sciences Department of Mathematics and Statistics La Trobe University http://orcid.org/0000-0002-9122-5429
  • Robert G Staudte College of Science, Health and Engineering School of Engineering and Mathematical Sciences Department of Mathematics and Statistics La Trobe University

DOI:

https://doi.org/10.29020/nybg.ejpam.v12i3.3436

Keywords:

confidence intervals, Gini index, inequality measures, quantile density, robust statistics

Abstract

The quantile ratio index is a simple and effective measure of relative inequality for income data that is resistant to outliers. A useful property of this index is investigated here: given a partition of the income distribution into a union of sets of symmetric quantiles, one can find the inequality for each set and readily combine them in a weighted average to obtain the index for the entire population. When applied to data for various years, one can track how these contributions to inequality vary over time, as illustrated here for Australian Bureau of Statistics income and wealth data.

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Published

2019-07-25

Issue

Vol. 12 No. 3: (July 2019)

Section

Nonlinear Analysis

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How to Cite

Decomposing the Quantile Ratio Index with Applications to Australian Income and Wealth Data. (2019). European Journal of Pure and Applied Mathematics, 12(3), 689-708. https://doi.org/10.29020/nybg.ejpam.v12i3.3436