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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. Gastwirth, Joseph L, 1971. "A General Definition of the Lorenz Curve," Econometrica, Econometric Society, vol. 39(6), pages 1037-1039, November.
    4. 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.
    5. Nadarajah, Saralees & Kotz, Samuel, 2006. "R Programs for Truncated Distributions," Journal of Statistical Software, Foundation for Open Access Statistics, vol. 16(c02).
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