Analysis of inequality in fertility curves fitted by Gamma distributions

• Autores: Héctor Manuel Ramos Romero , Antonio Gregorio Peinado Calero, Jorge Elías Ollero Hinojosa , María G. Ramos
• Localización: Sort: Statistics and Operations Research Transactions, ISSN 1696-2281, Vol. 37, Nº. 2, 2013, págs. 233-240
• Idioma: inglés
• Enlaces
  • Texto completo (pdf)
• Resumen

  • The aim of this paper is to analyse fertility curves from a novel viewpoint, that of inequality. Through sufficient conditions that can be easily verified, we compare inequality, in the Lorenz and Generalized Lorenz sense, in fertility curves fitted by gamma distributions, thus achieving a useful complementary instrument for demographic analysis. As a practical application, we examine inequality behaviour in the distributions of specific fertility curves in Spain from 1975 to 2009.

• Referencias bibliográficas
  • Abad-Montes, F., Huete–Morales, M. D. and Vargas–Jiménez, M. (2006). Using the Gamma distribution to fit fecundity curves for application...
  • Arnold, B. C., Robertson, C. A., Brockett, P. L. and Shu, B. Y. (1987). Generating ordered families of Lorenz curves by strongly unimodal...
  • Champernowne, D. G. and Cowell, F. A. (1998). Economic Inequality and Income Distribution. Cambridge University Press.
  • Duchêne, J. and Gillet de Stefano, S. (1974). Ajustement analytique des courbes de fécondité générale. Population et Famille, 32...
  • Gastwirth, J. L. (1971). A general definition of the Lorenz curve. Econometrica, 39, 1037–1039.
  • INE (2010). Indicadores Demográficos Básicos. Metodologı́a. www.ine.es.
  • Kleiber, C. and Krämer, W. (2003). Efficiency, equity, and Generalized Lorenz dominance. Estadı́stica (Journal of the Inter–American Statistical...
  • Lambert, P. (2001). The Distribution and Redistribution of Income, 3rd ed. Manchester University Press.
  • Ramos, H. M., Ollero, J. and Sordo, M. A. (2000). A sufficient condition for Generalized Lorenz order. Journal of Economic Theory, 90, 286–292.
  • Ramos, H. M. and Sordo, M. A. (2002). Characterizations of inequality orderings by means of dispersive orderings. Qüestiió, 26 (1–2),...
  • Shaked, M. and Shanthikumar, J. G. (2007). Stochastic Orders. Springer, New York.
  • Shorrocks A. F. (1983). Ranking income distributions. Economica, 50, 3–17.
  • Stoyan, D. (1983). Comparison Methods for Queues and Other Stochastic Models. Wiley, New York.