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The idea for this book came from the time the authors spent at the Statistics and Applied
Mathematical Sciences Institute (SAMSI) in Research Triangle Park in North Carolina …

Pareto distributions and related generalizations have historically been viewed as being
suitable for modelling income and wealth distributions. Following a brief review of the history …

This paper explores the axiomatic foundation of multidimensional poverty indices. Departing
from the income approach which measures poverty by aggregating shortfalls of incomes …

This chapter examines different approaches to the measurement of multidimensional
inequality and poverty. It first outlines three aspects preliminary to any multidimensional …

We review results concerning the representation of partial orders of univariate distributions
via stochastic orders and investigate their applications to some classes of stochastic …

This paper generalizes the axiomatic approach to the design of income inequality measures
to the multiattribute context. While the extension of most axioms considered desirable for …

Individual well-being depends not only on income but also on other dimensions of life, such
as health, the quality of social relations and of the environment, employment, and job …

The article extends the usual Lorenz curve and Lorenz order of univariate distributions to the
multivariate case. For a given probability distribution in nonnegative d space, d≥ 1, we …

In a one-good world, there is a nice correspondence between the Pigou-Dalton principle of
transfer and social welfare dominance. In this paper we study the case of multiple goods …