We derive an explicit formula of the Watts’ poverty index, in terms of parametersof bivariate lognormal distributions of price indices and nominal livingstandards. This result enables us to: analyse the contributions of the distributionsof prices and nominal living standards in poverty;...

Using parametric formulae under lognormality for a broad family of povertymeasures, we show that when inequality measured by the Gini coeffcient isconstant, dening the poverty line as a fraction of a central tendency of theliving standard distribution restricts the evolution of the poverty...

A priori knowledge about the shape of living standards distribution has notbeen fully exploited in the literature to investigate properties of poverty indices.The method we propose is to exploit credible distributional assumptions to: generateadditional properties for poverty indices; relate the...

We derive an explicit formula of the Watts’ poverty index, in terms of parametersof bivariate lognormal distributions of price indices and nominal livingstandards. This result enables us to: analyse the contributions of the distributionsof prices and nominal living standards in poverty;...