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Inferential results for a new measure of inequality

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  • Youri Davydov
  • Francesca Greselin

Abstract

SummaryIn recent decades, substantial changes have been observed in the left and right tails of income distributions in countries like the USA, Germany, the UK, and France. These changes are a major concern for policy makers. Here, we derive inferential results for a new inequality index that is specifically designed for capturing such significant shifts. We propose two empirical estimators for the index and show that they are asymptotically equivalent. Afterward, we adopt one estimator and prove its consistency and asymptotic normality. Finally, we introduce an empirical estimator for its variance and provide conditions for its consistency. An analysis of real data from the Bank of Italy Survey of Income and Wealth is also presented on the basis of the obtained inferential results.

Suggested Citation

  • Youri Davydov & Francesca Greselin, 2019. "Inferential results for a new measure of inequality," The Econometrics Journal, Royal Economic Society, vol. 22(2), pages 153-172.
    • Handle: RePEc:oup:emjrnl:v:22:y:2019:i:2:p:153-172.
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    File URL: http://hdl.handle.net/10.1093/ectj/utz004
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    Cited by:

    1. Mario Schlemmer, 2021. "Coupling the Gini and Angles to Evaluate Economic Dispersion," Papers 2110.13847, arXiv.org, revised Sep 2022.
    2. Vytaras Brazauskas & Francesca Greselin & Ricardas Zitikis, 2023. "Measuring income inequality via percentile relativities," Papers 2308.03708, arXiv.org.

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