Resampling under Complex Sampling Designs: Roots, Development and the Way Forward

Abstract

In the present paper, resampling for finite populations under an iid sampling design is reviewed. Our attention is mainly focused on pseudo-population-based resampling due to its properties. A principled appraisal of the main theoretical foundations and results is given and discussed, together with important computational aspects. Finally, a discussion on open problems and research perspectives is provided.

Keywords

• resampling
• bootstrap
• pseudo-population
• asymptotics
• empirical processes