PL EN


Preferencje help
Widoczny [Schowaj] Abstrakt
Liczba wyników
2020 | nr 1 (44) | 101--125
Tytuł artykułu

Decomposition of the Zenga Inequality Index I(Y) Into the Contributions of Macroregions and Income Components - an Application to Data from Poland and Italy

Warianty tytułu
Języki publikacji
EN
Abstrakty
EN
The total income Y can be expressed as the sum of c components called income sources. The N units of the population can be partitioned into k different subpopulations. In the paper the decompositions by subpopulations as well as by income components of the point ()hIY and the synthetic ()IY inequality indexes proposed by Zenga in 2007 are considered. These indexes can be decomposed into the contributions of income sources and/or into the contributions of subpopulations ,and also the decomposition into within- and between-group inequality can be carried out. In the paper, the two-step approach was used: first of all "additive" decompositions of the point index were derived, and then, by averaging these decompositions, the corresponding decompositions of the synthetic index were obtained. The results were then applied to the analysis of income distributions in Poland and Italy based on the household budget surveys conducted by Statistics Poland and the Bank of Italy, respectively.(original abstract)
Rocznik
Numer
Strony
101--125
Opis fizyczny
Twórcy
  • University of Milan-Bicocca, Italy
  • University of Lodz, Poland
Bibliografia
  • Arcagni, A., Porro, F. The Graphical Representation of Inequality, "Revista Colombiana de Estadistica", 37, 2, pp. 419-437, 2014.
  • Arcagni, A., Zenga, M., The decompositions by sources of ζ inequality index, Proceeding of the 47th Scientific Meeting of the Italian Statistical Society, Cagliari, 2014.
  • Arcagni, A., On the decompositions by sources of the Zenga 1984 point and synthetic inequality indexes, "Statistical Methods and Applications", 26, 1, pp. 113-133, 2017.
  • Bank of Italy, Household Income and Wealth in 2014, Supplements to the Statistical Bulletin-Sample Survey, 2016.
  • Bonferroni, C., Elementi di Statistica Generale. Seeber, Firenze 1930.
  • Dagum, C., A new approach to the decomposition of the Gini income inequality ratio, "Empi-rical Economics", 22, 4, pp. 515-531, 1997a.
  • Dagum, C., Scomposizione ed interpretazione delle misure di diseguaglianza di Gini e di entropia generalizzata, "Statistica", 3, pp. 295-307, 1997b.
  • Gini, C., Sulla Misura della Concentrazione e della Variabilità dei Caratteri, Atti del Reale Istituto Veneto di Scienze, Lettere ed Arti, Anno Accademico 1913-1914, Tomo LXXIII, Parte Seconda, 1914.
  • Greselin, F., Pasquazzi, L., Zitikis, R. Zenga's New Index of Economic Inequality, its Esti-mation, and Analysis of Incomes in Italy, "Journal of Probability and Statistics", ID 718905, pp. 1-26, 2010.
  • Greselin, F., Pasquazzi, L., Zitikis, R. Contrasting the Gini and Zenga Indices of Economic Inequality, "Journal of Applied Statistics", 40, 2, pp. 282-297, 2013.
  • Jędrzejczak, A., Decomposition Analysis of Income Inequality in Poland by Subpopulations and Factor Components, "Argumenta Oeconomica",1, 24, pp. 109-123, 2010.
  • Jędrzejczak, A., Regional Income Inequalities in Poland and Italy, "Comparative Economic Research", 18, 4, pp. 27-45, 2015a.
  • Jędrzejczak, A., Asymptotic Properties of Some Estimators for Gini and Zenga Inequality Measures:A Simulation Study, "Statistica & Applicazioni", 13, pp. 143-162, 2015b,
  • Langel, M., Tillé, I., Inference by linearization for Zenga's new inequality index: a compa-rison with the Gini index, "Metrika", 75, 8, pp. 1093-1110, 2012.
  • Lerman, R., Yitzhaki, S., Income inequality effects by income sources: a new approach and applications to the United States, "The Review of Economics and Statistics", 67, pp. 151-156. 1985,
  • Maffenini, W., Polisicchio, M., The potential of the I(p) inequality curve in the analysis of empirical distributions,"Statistica & Applicazioni", 12, 1, pp. 63-85, 2014.
  • Monti, M., A Note on the Residual Term R in the Decomposition of the Gini Index, "Argu- menta Oeconomica", 1, 20, pp. 107-138. 2008.
  • OECD Report, Growing Unequal?, 2008, https://www.oecd.org/els/soc/41527936.pdf
  • OECD Report, Divided We Stand. Why Inequality Keeps Rising, 2011, https://www.oecd. org/els/soc/49170768.pdf
  • OECD Report, In It Together: Why Less Inequality Benefits All, 2015, https://www.oecd. org/els/soc/OECD2015-In-It-Together-Chapter1-Overview-Inequality.pdf
  • Persson, T., Tabellini, G., Is inequality harmful for growth? "American Economic Review", 84, 3, pp. 600-621, 1994.
  • Pasquazzi, L., Zenga, M., Components of Gini, Bonferroni and Zenga inequality indexes for EU income data, "Journal of Official Statistics", 34, 1, pp. 1-32, 2018.
  • Piketty, T., Capital in the Twenty-First Century. Harvard University Press, Cambridge 2014.
  • Polisicchio, M., The continuous random variable with uniform point inequality measure I(p), "Statistica & Applicazioni", 6, 2, pp. 137-151, 2008.
  • Polisicchio, M., Porro, F., A comparison between Lorenz L(p) curve and Zenga I(p) curve, "Statistica applicata", 21, 3-4, pp. 289-301, 2011.
  • Porro, F., Zenga, M. The decompositions by subgroups of the inequality curve Z(p) and the inequality index ζ, Proceeding of the 47th Scientific Meeting of the Italian Statistical Society, Cagliari 2014.
  • Pyatt, G., On the Interpretation and Dissagregation of the Gini Coefficients, "The Economic Journal", 86, 342, pp. 243-255 1976.
  • Radaelli, P., Zenga, M., On the decomposition of the Gini mean difference and concentration ratio, "Statistica & Applicazioni", 3, 2, pp. 5-24, 2005.
  • Radaelli, P., A subgroups decomposition of Zenga's uniformity and inequality indexes, "Statistica & Applicazioni", 6, 2, pp. 117-136, 2008.
  • Radaelli, P., On the Decomposition by Subgroups of the Gini Index and Zenga's Uniformity and Inequality Indexes, "International Statistical Review", 78, 1, 81-101, 2010.
  • Rao, V., Two decompositions of concentration ratio, "Journal of the Royal Statistical Society", Ser. A, 132, pp. 418-425, 1969.
  • Shorrocks, A., The class of additively decomposable inequality measures, "Econometrica", 48, 3, pp. 613-626, 1980.
  • Statistics Poland, Household Budgets Survey in 2014. Statistical Information and Elabora-tions, Warsaw 2015.
  • Sztaudynger, J., Kumor, P., The Optimal Inequality of Earnings - The Econometric Analysis, "Comparative Economic Research", 1-2, pp. 45-61, 2007.
  • Tarsitano, A., The Bonferroni index of inequality,[in:] Dagum, C., Zenga, M. (eds.) Income and Wealth Distribution, Inequality and Poverty, pp. 228-242. Springer Verlag, Berlin 1990.
  • Tárki European Social Report 2009, http://old.tarki.hu/en/research/european_social_report/ european_social_report_2009_full.pdf
  • Zenga, M., Proposta per un indice di concentrazione basato sui rapport fra quantili di popolazione e quantili di reddito, "Giornale degli economisti e annali di economia", 43, 5-6, pp. 301-326, 1984.
  • Zenga, M., Concentration Curves and Concentration Indices Derived from Them, [in:] Dagum, C., Zenga, M. (eds.) Income and Wealth Distribution, Inequality and Poverty, pp. 94-110. Springer Verlag, Berlin 1990.
  • Zenga, M., Inequality curve and inequality index based on the ratios between lower and upper arithmetic means, "Statistica & Applicazioni", 5, 1, pp. 3-27, 2007.
  • Zenga, M., Radaelli, P., Zenga, M., Decomposition of Zenga's inequality index by sources, "Statistica & Applicazioni", 9, 1, pp. 3-34, 2012.
  • Zenga, M., Decomposition by sources of the Gini, Bonferroni and Zenga inequality indexes, "Statistica & Applicazioni", 11, 2, pp. 133-161, 2013.
  • Zenga, M., On the decomposition by subpopulations of the point and synthetic Zenga (2007) inequality indexes, "Metron", 74, 3, pp. 375-405, 2016a.
  • Zenga, M., Valli, I., On the decomposition by subpopulations of the point and synthetic Bonferroni inequality measures, "Statistica & Applicazioni", 14, 1, pp. 3-28, 2016.
  • Zenga, M., Decomposition by subpopulations of the point and synthetic Gini inequality indexes, "Statistica & Applicazioni", 14, 1, 49-82, 2016b.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.ekon-element-000171597053

Zgłoszenie zostało wysłane

Zgłoszenie zostało wysłane

Musisz być zalogowany aby pisać komentarze.
JavaScript jest wyłączony w Twojej przeglądarce internetowej. Włącz go, a następnie odśwież stronę, aby móc w pełni z niej korzystać.