Assessing Inequality

This text reviews a set of widely used summary inequality measures, and the lesser known relative distribution method. It provides the basic rationale behind each and discusses their interconnections. It also introduces model-based decomposition of inequality over time using quantile regression. This approach enables researchers to estimate two different contributions to changes in inequality between two time points. Key features include: clear statistical explanations that provide fundamental statistical basis for understanding the new modeling framework; straightforward empirical examples which reinforce statistical knowledge and ready-to-use procedures; and, multiple approaches to assessing inequality which are introduced by starting with the basic distributional property and providing connections among approaches. This supplementary text is appropriate for any graduate-level, intermediate, or advanced statistics course across the social and behavioral sciences, as well as individual researchers.

ISBN 1412926297   Weight (grammes) 181 ISBN13 9781412926294 (What's this?)   Published in Thousand Oaks Publisher SAGE Publications Inc   Series ISSN 0149-192 Imprint SAGE Publications Inc   Series title Quantitative Applications in the Social Sciences Format Paperback   Height (mm) 216 Publication date 01 Aug 2010   Width (mm) 140 DEWEY 300.72   Spine width (mm) 10 DEWEY edition DC22   Academic level Postgraduate Pages 160

		About the Authors
		Series Editor's Introduction
		Acknowledgments
1		Introduction		1
2		PDFs, CDFs, Quantile Functions, and Lorenz Curves		5
		Ranks, PDFs, CDFs, and Moments		5
		Quantile Functions		10
		Lorenz Curves		13
		Summary		16
Appendix: A		Location Shift Changes the Lorenz Curve		17
3		Summary Inequality Measures		19
		Summary Inequality Measures		19
		Relating Inequality Measures to Probability Distributions		19
		Inequality Measures Based on Quantile Functions and Lorenz Curves		25
		Inequality Measures Derived From Social Welfare Functions		30
		Inequality Measures Developed From Information Theory		34
		Inequality Measures for Variables With Nonpositive Values		40
		Summary		41
		Appendix		42
4		Choices of Inequality Measures		44
		Weak Principle of Transfers		44
		Strong Principle of Transfers		46
		Scale Invariance		47
		Principle of Population		48
		Decomposability		48
		Choose Inequality Measures for One Population		57
		Lorenz Dominance and Population Comparison		59
		Summary		63
		Appendix		64
		More...

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