- Title Pages
- List of Figures
- List of Tables
- List of Contributors
- Introduction
- Chapter 1 Why Economics Needs Ethical Theory
- Chapter 2 The Sen System of Social Evaluation
- Chapter 3 The Good Life and the Good Economy<sup>*</sup>
- Chapter 4 The Adaptation Problem, Evolution and Normative Economics<sup>*</sup>
- Chapter 5 Rights and Interests
- Chapter 6 Elements of a Theory of the Right to Development<sup>*</sup>
- Chapter 7 Rational Choice on General Domains<sup>*</sup>
- Chapter 8 Some Remarks on the Ranking of Infinite Utility Streams<sup>*</sup>
- Chapter 9 Individual Choices in a Non‐Consequentialist Framework<sup>*</sup>
- Chapter 10 The Method of Majority Decision and Rationality Conditions<sup>*</sup>
- Chapter 11 Convexity and Separability in Representing Consensus
- Chapter 12 Rights, Individual Preferences and Collective Rationality
- Chapter 13 Irrelevant Alternatives
- Chapter 14 Limited Rights and Social Choice Rules<sup>*</sup>
- Chapter 15 Dominance Criteria for Critical‐Level Generalized Utilitarianism<sup>*</sup>
- Chapter 16 The Measurement of Capabilities<sup>*</sup>
- Chapter 17 On Ultrapoverty<sup>*</sup>
- Chapter 18 Multidimensional Poverty Orderings<sup>*</sup>
- Chapter 19 External Capabilities<sup>*</sup>
- Chapter 20 On the Welfarist Rationale for Relative Poverty Lines<sup>*</sup>
- Chapter 21 Justice as Fairness and the Capability Approach<sup>*</sup>
- Chapter 22 Ungrouping Income Distributions
- Chapter 23 A Practical Proposal for Simplifying the Measurement of Income Poverty<sup>*</sup>
- Chapter 24 Concepts and Measures of Agency<sup>*</sup>
- Chapter 25 Sen's Identities
- Chapter 26 Welfare Economics and Giving for Development<sup>*</sup>
- Chapter 27 Equity and Sharing the Cost of a Public Project<sup>*</sup>
- Chapter 28 Isolation, Assurance and Rules<sup>*</sup>
- Chapter 29 Simple Formulae for Optimal Income Taxation and the Measurement of Inequality<sup>*</sup>
- Index of Names
- Index of Subjects

# Ungrouping Income Distributions

# Ungrouping Income Distributions

SYNTHESIZING SAMPLES FOR INEQUALITY AND POVERTY ANALYSIS

- Chapter:
- (p.414) Chapter 22 Ungrouping Income Distributions
- Source:
- Arguments for a Better World: Essays in Honor of Amartya Sen
- Author(s):
### Anthony Shorrocks

### Guanghua Wan (Contributor Webpage)

- Publisher:
- Oxford University Press

This chapter describes a new method of facilitating inequality and poverty analysis of grouped distributional data by allowing individual income observations to be reconstructed from any feasible grouping pattern. In contrast to earlier methods, the chapter's procedure ensures that the characteristics of the synthetic sample exactly match the reported values. The performance of the algorithm is evaluated first by using household survey records to compare true income observations with their synthetic counterparts, then by comparing the true and generated values of the Gini coefficient and other inequality indices. The results indicate that the new technique is capable of reproducing individual data from grouped statistics with a high degree of accuracy.

*Keywords:*
grouped data, income distribution, inequality, poverty, Gini coefficient, grouped statistics

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- Title Pages
- List of Figures
- List of Tables
- List of Contributors
- Introduction
- Chapter 1 Why Economics Needs Ethical Theory
- Chapter 2 The Sen System of Social Evaluation
- Chapter 3 The Good Life and the Good Economy<sup>*</sup>
- Chapter 4 The Adaptation Problem, Evolution and Normative Economics<sup>*</sup>
- Chapter 5 Rights and Interests
- Chapter 6 Elements of a Theory of the Right to Development<sup>*</sup>
- Chapter 7 Rational Choice on General Domains<sup>*</sup>
- Chapter 8 Some Remarks on the Ranking of Infinite Utility Streams<sup>*</sup>
- Chapter 9 Individual Choices in a Non‐Consequentialist Framework<sup>*</sup>
- Chapter 10 The Method of Majority Decision and Rationality Conditions<sup>*</sup>
- Chapter 11 Convexity and Separability in Representing Consensus
- Chapter 12 Rights, Individual Preferences and Collective Rationality
- Chapter 13 Irrelevant Alternatives
- Chapter 14 Limited Rights and Social Choice Rules<sup>*</sup>
- Chapter 15 Dominance Criteria for Critical‐Level Generalized Utilitarianism<sup>*</sup>
- Chapter 16 The Measurement of Capabilities<sup>*</sup>
- Chapter 17 On Ultrapoverty<sup>*</sup>
- Chapter 18 Multidimensional Poverty Orderings<sup>*</sup>
- Chapter 19 External Capabilities<sup>*</sup>
- Chapter 20 On the Welfarist Rationale for Relative Poverty Lines<sup>*</sup>
- Chapter 21 Justice as Fairness and the Capability Approach<sup>*</sup>
- Chapter 22 Ungrouping Income Distributions
- Chapter 23 A Practical Proposal for Simplifying the Measurement of Income Poverty<sup>*</sup>
- Chapter 24 Concepts and Measures of Agency<sup>*</sup>
- Chapter 25 Sen's Identities
- Chapter 26 Welfare Economics and Giving for Development<sup>*</sup>
- Chapter 27 Equity and Sharing the Cost of a Public Project<sup>*</sup>
- Chapter 28 Isolation, Assurance and Rules<sup>*</sup>
- Chapter 29 Simple Formulae for Optimal Income Taxation and the Measurement of Inequality<sup>*</sup>
- Index of Names
- Index of Subjects