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arXiv · 1705.03827

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

Pier Luigi Conti·Daniela Marella·Fulvia Mecatti·Federico Andreis
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Abstract

In this paper, a class of resampling techniques for finite populations under complex sampling design is introduced. The basic idea on which it rests 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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Pier Luigi Conti, Daniela Marella, Fulvia Mecatti, Federico Andreis. 2017-07-20. A unified principled framework for resampling based on pseudo-populations: asymptotic theory. https://arxiv.org/abs/1705.03827

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