This document focuses on the estimation of inequality measures for complex survey data. The proposed methodology takes into account both the complexity of these generally non-linear functions of interest and the complexity of the sampling strategy. The first chapter is dedicated to the...

This paper develops tests for inequality constraints of nonparametric regression functions. The test statistics involve a one-sided version of Lp-type functionals of kernel estimators. Drawing on the approach of Poissonization, this paper establishes that the tests are asymptotically...