ENGLISH ABSTRACT: The aim of this study is to obtain estimates and confidence intervals for welfareindices under complex sampling. It begins by looking at sampling in general withspecific focus on complex sampling and weighting. For the estimation of the welfareindices, two resampling...

We consider the problem of model assessment by risk estimation. Variousapproaches to risk estimation are considered in a uni ed framework. This a discussion of various complexity dimensions and approaches to obtainingbounds on covering numbers is also presented.The second type of training sample...