165
Views
5
CrossRef citations to date
0
Altmetric
Original Articles

Zenga Distribution and Inequality Ordering

Pages 3967-3977 | Received 31 Aug 2012, Accepted 21 Jun 2013, Published online: 15 Sep 2015

References

  • Abramowitz, M., Stegun, I. (1964). Handbook of Mathematical Functions. New York: Dover.
  • Arcagni, A., Porro, F. (2013). On the parameters of Zenga distribution. Statist. Meth. Applic. 22(3):285–303.
  • Atkinson, A.B. (1970). On the measurement of inequality. J. Econ. Theor. 2:244–263.
  • Banca, d’Italia (2008). The 2006 Bank of Italy sample survey on househlod income and wealth; available at http://www.bancaditalia.it
  • Greselin, F., Pasquazzi, L. (2009). Asymptotic confidence intervals for a new inequality measure. Commun. Statist. Simul. Computat. 38:1742–1756.
  • Greselin, F., Pasquazzi, L., Zitikis, R. (2010). Zenga’s new index of economic inequality, its estimation, and an analysis of incomes in Italy. J. Probab. Statist.
  • Kleiber, C. (1999). On the Lorenz order within parametric families of income distributions. Sankhya B 61:514–517.
  • Langel, M., Tillé, Y. (2011). Inference by linearization for Zenga’s new inequality index: a comparison with the Gini index. Metrika 75:1093–1110.
  • Polisicchio, M. (2008). The continuous random variable with uniform point inequality measure I(p). Statistica & Applicazioni 6:137–151.
  • Polisicchio, M., Porro, F. (2009). A comparison between Lorenz L(p) curve and Zenga I(p) curve. Statist. Applicata - Italian Journal of Applied Statistics 21:289–301.
  • Porro, F. (2011). The distribution model with linear inequality curve I(p). Statistica & Applicazioni 9:47–61.
  • Radaelli, P. (2010). On the decomposition by subgroups of the Gini index and Zenga’s uniformity and inequality indexes. Int. Statist. Rev. 78:81–101.
  • Sarabia, J.M., Castillo, E., Slottje, D.E. (2002). Lorenz ordering between Mcdonalds generalized functions of the income size distribution. Econ. Lett. 75:265–270.
  • Shaked, M., Shanthikumar, J.G. (2007). Stochastic Orders. New York: Springer.
  • Swiss Federal Statistical Office (FSO) (2005). Household Budget Survey (HBS)(EBM/HABE/IBED); available at http://www.bfs.admin.ch
  • U.S. Census Bureau Data Ferret (2008). American Community Survey (ACS2008); available at http://www.census.gov/acs/www/
  • Taillie, C. (1981). Lorenz ordering within the generalized gamma family of income distributions. Statistical Distrib. Sci. Work 6:181–192.
  • Wilfling, B., Kramer, W. (1993). Lorenz ordering of Singh-Maddala income distributions. Econ. Lett. 43:53–57.
  • Wilfling, B. (1996). Lorenz ordering of generalized Beta II income distributions. J. Econometrics 71:381–388.
  • Zenga, M. (2007). Inequality curve and inequality index based on the ratios between lower and upper arithmetic means. Statistica & Applicazioni 5:3–28.
  • Zenga, M. (2010). Mixture of Polisicchio’s truncated Pareto distributions with beta weights. Statistica & Applicazioni 8:3–25.
  • Zenga, M., Polisicchio, M., Zenga, Ma, Pasquazzi, L. (2011). More on M.M. Zenga’s new three parameters distribution for non-negative variables. Statistica & Applicazioni 9:5–33.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.