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Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling

Author

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  • Berger Yves G.

    (University of Southampton,Southampton, SO17 1BJ, UK.)

  • Balay İklim Gedik

    (Ankara Yıldırım Beyazıt University, Esenboga Külliyesi Faculty of Business, Esenboğa, Ankara, 06760, Turkey.)

Abstract

We propose an estimator for the Gini coefficient, based on a ratio of means. We show how bootstrap and empirical likelihood can be combined to construct confidence intervals. Our simulation study shows the estimator proposed is usually less biased than customary estimators. The observed coverages of the empirical likelihood confidence interval proposed are also closer to the nominal value.

Suggested Citation

  • Berger Yves G. & Balay İklim Gedik, 2020. "Confidence Intervals of Gini Coefficient Under Unequal Probability Sampling," Journal of Official Statistics, Sciendo, vol. 36(2), pages 237-249, June.
    • Handle: RePEc:vrs:offsta:v:36:y:2020:i:2:p:237-249:n:2
    DOI: 10.2478/jos-2020-0013
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    References listed on IDEAS

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    2. Encarnación Álvarez-Verdejo & Pablo J. Moya-Fernández & Juan F. Muñoz-Rosas, 2021. "Single Imputation Methods and Confidence Intervals for the Gini Index," Mathematics, MDPI, vol. 9(24), pages 1-20, December.

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