About the exact and asymptotic distribution of the Gini coefficient

• Martínez-Camblor, Pablo ^[2] ; Corral, Norberto ^[1]
  1. [1] Universidad de Oviedo

     Universidad de Oviedo

     Oviedo, España

     
  2. [2] Subdirección de Salud Pública de Gipuzkoa, CIBER de Epidemiología y Salud Pública
• Localización: Revista de Matemática: Teoría y Aplicaciones, ISSN 2215-3373, ISSN-e 2215-3373, Vol. 16, Nº. 2, 2009, págs. 199-204
• Idioma: inglés
• DOI: 10.15517/rmta.v16i2.300
• Enlaces
  • Texto completo (pdf)
• Resumen

  •    In this paper we deal with the distribution of the Gini Concentration Index (G).We derive its exact sample distribution which is useful only for small sample sizesand basing on the classic results for L-statistics of Egorov and Nevronov we prove theasymptotic normality for G from an original and probabilistic way.Keywords: Gini Index, Exact Distribution, L-Statistics.

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