Abstract
We introduce a novel method to extract a sample from a finite population where units with desired characteristics are over-represented. The approach is both sequential and adaptive and allows, via suitable compositions of predictive and objective functions, to target specific subsets of the population. We consider the problem of estimation and conjecture the validity of a modified Horvitz–Thompson estimator capable to account for the imbalance induced by the targeting procedure. After discussing how to apply the method to the sampling of geographically distributed units, we investigate its potential via simulations.
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Acknowledgements
The idea of using Hot Deck imputation to construct a resampling population as described in Section 4 originates from unpublished work on bootstrapping non-iid samples developed in collaboration among Fulvia Mecatti, Pierluigi Conti and the first author. A draft version of that work, which will appear elsewhere, is available at https://arxiv.org/abs/1705.03827v2. The authors also wish to thank two anonymous referees for their precious comments, that helped improve the quality of this work.
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Handling Editor: Bryan F. J. Manly.
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Andreis, F., Bonetti, M. A proposal for a two-step sampling design to oversample units responding to prescribed characteristics. Environ Ecol Stat 25, 139–154 (2018). https://doi.org/10.1007/s10651-017-0396-9
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DOI: https://doi.org/10.1007/s10651-017-0396-9