Chapter 1: Measuring the Wellbeing of Groups i. The Social Welfare Function ii. The Benthamite (Utilitarian) Tradition iii. The Pigou-Daltonian Principle: "Inequality is a Bad Thing" iv. Polarization v. Social Exclusion vi. Equality of Opportunity vii. The Rawlsian Principle and the Focus on Poverty viii.

What to Do Now? Chapter 2: Statistical Matters i. Introduction ii. Probability Distributions iii. Parametric and Non-Parametric Distributions iv. Kernel Estimation v. Stochastic Dominance Relations vi. Comparing Distributions vi. The Test Inconsistency Problem Chapter 3: Complete Orderings: Index Types and the Ambiguity Problem i.

Introduction ii. Indices for The Level of Wellbeing iii. Some Unit Free Inequality Measures iv. Inequality Adjusted Wellbeing Levels v. Polarization Measures vi. Multivariate Polarization Indices vii. Poverty Measurement viii. Equal Opportunity and Mobility Indices ix.

Exploring the Impact of Ambiguity Chapter 4: Partial Orderings i. Introduction ii. Stochastic Dominance Criteria iii. On Restricting the Criterion Space iv. Stochastic Dominance and Inequality Orderings v. Stochastic Dominance and Poverty Orderings vi. Stochastic Dominance and Polarization vii. The Problem of Ambiguity and Conditions for its Absence viii.

Determination of Ambiguity Groupings: Non-Ambiguity Cuts and Groups ix. Tools for Ordering Groups and Quantifying Their Differences Chapter 5: Comparing Latent Subgroups i. Introduction ii. Semi-Parametric Mixture Distributions iii. The Probability of Class Membership of an Agent with an Income x iv. Estimating the Model v. Determining the Number of Classes vi. Studying the Probability of Class Membership vii.

Comparing the Subgroups Chapter 6: Ambiguity Comparability Segmentation and All That i. Introduction ii. An "Absence of Ambiguity" Criteria iii. Dealing with Ambiguity with Two Groups iv. Two Ambiguity Indices v. Ambiguity in inequality measures vi. Determination of Ambiguity Groupings: Un-Ambiguous Cuts and Groups vii. An Empirical Application viii.

Conclusions Chapter 7: Some Applications i. Introduction ii. An Example of Canadian Unidimensional Income Distribution Analysis iii. A Multidimensional Equal Opportunity Example: German Educational Attainment iv. An Example in Portfolio Choice v. A Study of Net Crop Returns and Access to Land in Sub Sahara African Irrigation Schemes vi. A Multidimensional Human Development Example.