Empirical applications of poverty measurement often have to deal with a stochastic weighting variable such as household size. Within the framework of a bivariate distribution function defined over income and weight, I derive the limiting distributions of the decomposable curves. The poverty line...

Kakwani (Econometrica, Vol. 48, No. 2, p. 437-446 (1980)) introduced the S-Gini poverty indices as a generalization of Sen's poverty index. I propose a sample estimator for the indices and establish its asymptotic normality under weak conditions. An explicit variance formula is presented. The...