This paper extends the previous literature on the normative links between the measurement of poverty, social welfare … and inequality. We show how, when the range of possible poverty lines is unbounded above, a robust ranking of absolute … poverty may be interpreted as a robust ranking of social welfare, and a robust ranking of relative poverty may be interpreted …

for comparing relative poverty. The results warn against the use of some popular indices of inequality.\ They do, however … poverty and restricted inequality. We also illustrate graphically how the new criteria of restricted inequality dominance …

and ranges of poverty lines. We then provide statistical procedures that rely on the use of sample data to infer whether …