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Modeling Income Distributions and Lorenz Curves

  • Book
  • © 2008

Overview

Editors:
  1. Duangkamon Chotikapanich

    1. Department of Econometrics and Business Statistics, Monash University, Caulfield East, Australia

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Part of the book series: Economic Studies in Inequality, Social Exclusion and Well-Being (EIAP, volume 5)

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Table of contents (17 chapters)

  1. Front Matter

    Pages i-xiv
    Download chapter PDF

  3. Survey papers on Lorenz functions and the generalizations and extensions of income distributions

    1. A Guide to the Dagum Distributions

      • Christian Kleiber
      Pages 97-117

    2. Pareto and Generalized Pareto Distributions

      • Barry C. Arnold
      Pages 119-145

    3. The Generalized Beta Distribution as a Model for the Distribution of Income: Estimation of Related Measures of Inequality

      • James B. McDonald, Michael Ransom
      Pages 147-166

    4. Parametric Lorenz Curves: Models and Applications

      • José María Sarabia
      Pages 167-190

  4. Current research

    1. Maximum Entropy Estimation of Income Distributions from Bonferroni Indices

      • Hang Keun Ryu
      Pages 193-210

    2. New Four- and Five-Parameter Models for Income Distributions

      • William J. Reed, Fan Wu
      Pages 211-223

    3. Fuzzy Monetary Poverty Measures under a Dagum Income Distributive Hypothesis

      • Gianni Betti, Antonella D’Agostino, Achille Lemmi
      Pages 225-240

    4. Modelling Lorenz Curves: Robust and Semi-parametric Issues

      • Frank A. Cowell, Maria-Pia Victoria-Feser
      Pages 241-253

    5. Modelling Inequality with a Single Parameter

      • J. M. Henle, N. J. Horton, S. J. Jakus
      Pages 255-269

    6. Lorenz Curves and Generalised Entropy Inequality Measures

      • Nicholas Rohde
      Pages 271-283

    7. Estimating Income Distributions Using a Mixture of Gamma Densities

      • Duangkamon Chotikapanich, William E. Griffiths
      Pages 285-302

    8. Inequality in Multidimensional Indicators of Well-Being: Methodology and Application to the Human Development Index

      • Quentin Wodon, Shlomo Yitzhaki
      Pages 303-317

  5. Back Matter

    Pages 319-322
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Keywords

About this book

Jean-Jacques Rousseau wrote in the Preface to his famous Discourse on Inequality that “I consider the subject of the following discourse as one of the most interesting questions philosophy can propose, and unhappily for us, one of the most thorny that philosophers can have to solve. For how shall we know the source of inequality between men, if we do not begin by knowing mankind?” (Rousseau, 1754). This citation of Rousseau appears in an article in Spanish where Dagum (2001), in the memory of whom this book is published, also cites Socrates who said that the only useful knowledge is that which makes us better and Seneca who wrote that knowing what a straight line is, is not important if we do not know what rectitude is. These references are indeed a good illustration of Dagum’s vast knowledge, which was clearly not limited to the ?eld of Economics. For Camilo the ?rst part of Rousseau’s citation certainly justi?ed his interest in the ?eld of inequality which was at the centre of his scienti?c preoccupations. It should however be stressed that for Camilo the second part of the citation represented a “solid argument in favor of giving macroeconomic foundations to microeconomic behavior” (Dagum, 2001). More precisely, “individualism and methodological holism complete each other in contributing to the explanation of individual and social behavior” (Dagum, 2001).

Reviews

From the reviews:

“Chotikapanich has done an excellent job in her introduction to the volume of describing each paper’s content in a substantive way. … This is an excellent book and I recommend it strongly to anyone interested in this field and urge you to read it. … all these papers are interesting, all … were innovative and expanded our understanding of approximating and describing empirical income distribution data, and all illustrate an important lesson for (and particularly relevant to) the young researcher in this field … .”­­­ (Daniel Slottje, The Journal of Economic Inequality, Vol. 8, 2010)

Editors and Affiliations

  • Department of Econometrics and Business Statistics, Monash University, Caulfield East, Australia

    Duangkamon Chotikapanich

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