Confidence Intervals of Gini Coefficient under Unequal Probability Sampling

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Berger Y. G., Balay A. G.

Journal of Official Statistics, vol.36, no.2, pp.237-249, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 36 Issue: 2
  • Publication Date: 2020
  • Doi Number: 10.2478/jos-2020-0013
  • Journal Name: Journal of Official Statistics
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Social Sciences Citation Index (SSCI), Scopus, Academic Search Premier, CAB Abstracts, Sociological abstracts, Veterinary Science Database, Directory of Open Access Journals, DIALNET
  • Page Numbers: pp.237-249
  • Keywords: Bootstrap, empirical likelihood, inclusion probability, sampling design, survey weight
  • Ankara Yıldırım Beyazıt University Affiliated: No

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.