Abstract
A notion of relative poverty leads to different types of one-parametric Lorenz curves. These curves allow to compare any individual income to the average of all larger or all smaller incomes. The underlying least square fittings are effectively computable.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
Similar content being viewed by others
References
AABERGE, R. (2000): Characterizations of Lorenz curves and income distributions. Social Choice and Welfare, 17, 639–653.
BOUCHARD, J.-P. and MEZARD, M. (2000): Wealth condensation in a simple model of economy. Physica A, 282, 536ff.
CHEONG, K.S. (2002): An empirical comparison of alternative functional forms for the Lorenz curve. Applied Economics Letters, 9, 171–176.
CHOTIKAPANICH, D. and GRIFFITHS, W.E. (1999): Estimating Lorenz curves using a Dirichlet Distribution. Working paper 110, University of New England, Armidale.
DATT, G. (1998): Computational tools for poverty measurement and analysis. Discussion paper 50, International Food Policy Research Institute, Washington.
EUROPEAN PARLIAMENT (1999): The fight against poverty in the ACP countries and in the European Union. Working Document, Strassbourg.
FINLAND (2000): Ministry of Social Affairs and Health. Finland, Internet presentation. www.stm.fi/english/tao/publicat/poverty/definit.htrn.
FOSTER, J.E., GREER, J., and THORBECKE, E. (1984): A class of decomposable poverty measures. Econometrica, 52, 761–766.
GINTHER, D.K. (1995): A nonparametric analysis of the US earnings distributions. Discussion Paper 1067-95, University of Wisconsin, Madison.
KÄMPKE, T. (2002): Overconstrained ordinary differential equations. International Mathematical Journal, 2, 1125–1139.
KÄMPKE, T., PESTEL, R., and RADERMACHER, F.J. (2002): A computational concept for normative equity. European Journal of Law and Economics, 15, 129–163.
LITCHFIELD, J.A. (1999): Inequality: methods and tools. Discussion paper, Worldbank, Washington.
MÖLLER, U., RADERMACHER, F.J., RIEGLER, J., SOEKADAR, S.R., and SPIEGEL. P. (2004): Global Marshall Plan. Mit einem Planetary Contract für eine Ökosoziale Marktwirtschaft weltweit Frieden, Freiheit und nachhaltigen Wohlstand ermöglichen. Horizonte, Stuttgart.
RADERMACHER, F.J. (2001): Balance or Destruction: Ein Plädoyer für eine weltweite öko-soziale Marktwirtschaft. Ökoeffizienz, weltweiter sozialer Ausgleich und geordnete weltweite Wachstumsprozesse als Schlüssel zu einer nachhaltigen Entwicklung. Proceedings Nachhaltigkeit als Geschäftsfeld, Natur, Macht, Märkte, Wuppertal.
RADERMACHER, F.J. (2002a): 10 \( \rightsquigarrow \) 4:34 — Die Formel für Wachstum und Gerechtigkeit. Bild der Wissenschaft, 4, 78–86.
RADERMACHER, F.J. (2002b): Balance oder Zerstörung — Ökosoziale Marktwirtschaft als Schlüssel zu einer nachhaltigen Entwicklung. Ökosoziales Forum Österreich, Wien.
RADERMACHER, F.J. (2004a): Global Marshall Plan. Global Marshall Plan Initiative, Hamburg.
RADERMACHER, F.J. (2004b): Ökosoziale Grundlagen für Nachhaltigkeitspfade. GAIA, 170–175.
RADERMACHER, F.J. (2004c): Was macht Gesellschaften reich? In: R. Loske and R. Schaffer (Eds.): Infrastruktur, Metropolis (to appear).
RASCHE, R.H., GAFFNEY, J., KOO, A.Y.C., and OBST, N. (1980): Functional forms for estimating the Lorenz curve. Econometrica, 48, 1061–1062.
RYU, H.K. and SLOTJE, D.J. (1999): Parametric approximations of the Lorenz curve. In: J. Silber (Ed.): Handbook of income inequality measurement. Kluwer, Boston, 291–312.
SALA-I-MARTIN, X. (2002a): The disturbing “rise” of global income inequality. Working paper 8904, National Bureau of Economic Research, Cambridge, MA.
SALA-I-MARTIN, X. (2002b): The world distribution of income. Working paper 8933, National Bureau of Economic Research, Cambridge, MA.
SILBER, J. (1999): Handbook of income inequality measurement. Kluwer, Boston.
WORLDBANK (2001): World Development Report 2000/2001. Worldbank, Washington.
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2005 Springer-Verlag Berlin · Heidelberg
About this chapter
Cite this chapter
Kämpke, T., Radermacher, F.J. (2005). Equity Analysis by Functional Approach. In: Baier, D., Decker, R., Schmidt-Thieme, L. (eds) Data Analysis and Decision Support. Studies in Classification, Data Analysis, and Knowledge Organization. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-28397-8_27
Download citation
DOI: https://doi.org/10.1007/3-540-28397-8_27
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-26007-3
Online ISBN: 978-3-540-28397-3
eBook Packages: Mathematics and StatisticsMathematics and Statistics (R0)