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Large sample properties of a new measure of income inequality

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  • Zhang, Xiaoke
  • Gastwirth, Joseph L.

Abstract

This paper develops the asymptotic properties of a recently proposed measure of inequality emphasizing the status of the poor relative to the rich. A simulation confirms the asymptotic results are applicable in practice.

Suggested Citation

  • Zhang, Xiaoke & Gastwirth, Joseph L., 2019. "Large sample properties of a new measure of income inequality," Statistics & Probability Letters, Elsevier, vol. 145(C), pages 50-56.
    • Handle: RePEc:eee:stapro:v:145:y:2019:i:c:p:50-56
    DOI: 10.1016/j.spl.2018.08.009
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    References listed on IDEAS

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    1. Buhong Zheng, 2002. "Testing Lorenz Curves with Non-Simple Random Samples," Econometrica, Econometric Society, vol. 70(3), pages 1235-1243, May.
    2. Gastwirth, Joseph L, 1972. "The Estimation of the Lorenz Curve and Gini Index," The Review of Economics and Statistics, MIT Press, vol. 54(3), pages 306-316, August.
    3. Nadarajah, Saralees & Kotz, Samuel, 2006. "R Programs for Truncated Distributions," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 16(c02).
    4. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    5. Charles M. Beach & Russell Davidson, 1983. "Distribution-Free Statistical Inference with Lorenz Curves and Income Shares," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(4), pages 723-735.
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