We consider the problem of regressions with selectively observed covariates in a nonparametric framework. Our approach relies on instrumental variables that explain variation in the latent covariates but have no direct e ffect on selection. The regression function of interest is shown to be a...

Individuals vary considerably in how much they earn during their lifetimes. We study how the tax-and-transfer system o sets inequalities in lifetime earnings, which would otherwise translate into differences in living standards. Based on a life-cycle model, we find that redistribution by taxes...

This study uses German social security records to provide novel evidence about the heterogeneity in life expectancy by lifetime earnings and, additionally, documents the distributional implications of this earnings-related heterogeneity. We find a strong association between lifetime earnings and...