Theil’s approach to the measurement of inequality is set in the context of subsequent developments over recent decades. It is shown that Theil’s initial insight leads naturally to a very general class of decomposable inequality measures. It is thus closely related to a number of other...

We examine individuals’ distributional orderings in a number of contexts. This is done by using a questionnaire-experiment that is presented to respondents in any one of seven “flavours” or interpretations of the basic distributional problem. The flavours include inequality, risk, social...

Distributional dominance criteria are commonly applied to draw welfare in- ferences about comparisons, but conclusions drawn from empirical imple- mentations of dominance criteria may be inßuenced by data contamination. We examine a non-parametric approach to reÞning Lorenz-type comparisons...

Inequality measures are often used to summarise information about empirical income distributions. However , the resulting picture of the distribution and of the changes in the distribution can be severely distorted if the data are contaminated. The nature of this distortion will in general...

This article provides a brief overview of the key issues in inequality measurement and has been prepared for inclusion in the second edition of The New Palgrave.

Building on previous studies on perceptions of inequality, welfare and risk we investigate the structure of individuals' rankings of uncertain prospects in terms of risk and their relationship to individual preferences. We examine three interlinked propositions that are fundamental to the...

Theil’s information-theoretic approach to the measurement of inequality (Theil 1967) is set in the context of subsequent developments over recent decades. It is shown that Theil’s initial insight leads naturally to a very general class of inequality measures. It is thus closely related to a...

Lorenz curves and associated tools for ranking income distributions are commonly estimated on the assumption that full, unbiased samples are available. However, it is common to find income and wealth distributions that are routinely censored or trimmed. We derive the sampling distribution for a...

Inequality measures are powerful tools of applied welfare analysis. However, to use the tools effectively one has to take into account the characteristics of the data with which one usually has to work. These raise a number of common statistical problems which are addressed here for both...

The techniques of simple random sampling are seldom appropriate in the empirical analysis of income distributions. Various types of weighting schemes are usually required either from the point of view of welfare-economic considerations (the mapping of household/family distributions into...