Analysis of inequality in fertility curves fitted by Gamma distributions
- Ramos Romero, Héctor Manuel
- Peinado Calero, Antonio Gregorio
- Ollero Hinojosa, Jorge Elías
- Ramos, María G.
ISSN: 1696-2281
Datum der Publikation: 2013
Ausgabe: 37
Nummer: 2
Seiten: 233-240
Art: Artikel
Andere Publikationen in: Sort: Statistics and Operations Research Transactions
Zusammenfassung
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.
Bibliographische Referenzen
- Abad-Montes, F., Huete–Morales, M. D. and Vargas–JimeÌnez, M. (2006). Using the Gamma distribution to fit fecundity curves for application in Andalusia (Spain). Ch. 9 in Distribution Modeling Theory. World Scientific Publishing. Singapore.
- Arnold, B. C., Robertson, C. A., Brockett, P. L. and Shu, B. Y. (1987). Generating ordered families of Lorenz curves by strongly unimodal distributions. Journal of Business and Economic Statistics, 5, 305– 308.
- Champernowne, D. G. and Cowell, F. A. (1998). Economic Inequality and Income Distribution. Cambridge University Press.
- DucheÌne, J. and Gillet de Stefano, S. (1974). Ajustement analytique des courbes de feÌconditeÌ geÌneÌrale. Population et Famille, 32 (2), 53–94.
- Gastwirth, J. L. (1971). A general definition of the Lorenz curve. Econometrica, 39, 1037–1039.
- INE (2010). Indicadores DemograÌficos BaÌsicos. MetodologıÌa. www.ine.es.
- Kleiber, C. and KraÌmer, W. (2003). Efficiency, equity, and Generalized Lorenz dominance. EstadıÌstica (Journal of the Inter–American Statistical Institute), 55 (Special Issue on Income Distribution, Inequality and Poverty), 173–186.
- 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. QuÌestiioÌ, 26 (1–2), 15–28.
- 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.