A unified principled framework for resampling based on pseudo-populations: asymptotic theory

01 Pubblicazione su rivista
Conti Pier Luigi, Marella Daniela, Mecatti Fulvia, Andreis Federico
ISSN: 1350-7265

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. New approaches to construct pseudo populations based on various forms of calibrations are proposed. Finally, a simulation study is performed.

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