Confidence Intervals of Gini Coefficient under Unequal Probability Sampling


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Berger Y. G., Balay A. G.

Journal of Official Statistics, cilt.36, sa.2, ss.237-249, 2020 (SCI-Expanded, SSCI, Scopus)

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 36 Sayı: 2
  • Basım Tarihi: 2020
  • Doi Numarası: 10.2478/jos-2020-0013
  • Dergi Adı: Journal of Official Statistics
  • Derginin Tarandığı İndeksler: 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
  • Sayfa Sayıları: ss.237-249
  • Anahtar Kelimeler: Bootstrap, empirical likelihood, inclusion probability, sampling design, survey weight
  • Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
  • Ankara Yıldırım Beyazıt Üniversitesi Adresli: Evet

Özet

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.