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Estimation of Gini Index within Pre-Specified Error Bound

Author

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  • Bhargab Chattopadhyay

    (Department of Mathematical Sciences, The University of Texas at Dallas, Richardson, TX 75080, USA)

  • Shyamal Krishna De

    (School of Mathematical Sciences, National Institute of Science Education and Research, Jatni 752050, Odisha, India)

Abstract

Gini index is a widely used measure of economic inequality. This article develops a theory and methodology for constructing a confidence interval for Gini index with a specified confidence coefficient and a specified width without assuming any specific distribution of the data. Fixed sample size methods cannot simultaneously achieve both specified confidence coefficient and fixed width. We develop a purely sequential procedure for interval estimation of Gini index with a specified confidence coefficient and a specified margin of error. Optimality properties of the proposed method, namely first order asymptotic efficiency and asymptotic consistency properties are proved under mild moment assumptions of the distribution of the data.

Suggested Citation

  • Bhargab Chattopadhyay & Shyamal Krishna De, 2016. "Estimation of Gini Index within Pre-Specified Error Bound," Econometrics, MDPI, vol. 4(3), pages 1-12, June.
    • Handle: RePEc:gam:jecnmx:v:4:y:2016:i:3:p:30-:d:72720
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    References listed on IDEAS

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    Cited by:

    1. Francis Bilson Darku & Frank Konietschke & Bhargab Chattopadhyay, 2020. "Gini Index Estimation within Pre-Specified Error Bound: Application to Indian Household Survey Data," Econometrics, MDPI, vol. 8(2), pages 1-20, June.
    2. Shyamal K. De & Bhargab Chattopadhyay, 2017. "Minimum Risk Point Estimation of Gini Index," Sankhya B: The Indian Journal of Statistics, Springer;Indian Statistical Institute, vol. 79(2), pages 247-277, November.

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