A unified principled framework for resampling based on pseudo-populations: asymptotic theory
In this paper, a class of resampling techniques for finite populations under pps sampling design is introduced. The basic idea on which they rest is a two-step procedure consisting in: (i) constructing a pseudo-population" on the basis of sample data; (ii) drawing a sample from the predicted population according to an appropriate resampling design. From a logical point of view, this approach is essentially based on the plug-in principle by Efron, at the "sampling design level". Theoretical justifications based on large sample theory are provided.