“A Note on Sampling and Estimation in the Presence of Cut-Off Sampling”
Cut-off sampling consists of deliberately excluding a set of units from possible samples selection, forexample if the contribution of the excluded units to the total is small and if the inclusion of these unitsin the sample selection involves high costs. If the characteristics of the excluded units differ from thatof the population under study, the use of naïve estimators may result in strongly biased estimations. Inthis paper, we discuss the use of auxiliary information to reduce the non-response bias by means ofcalibration or balanced sampling techniques. It is demonstrated that the use of both the availableauxiliary information related to the variable of interest and of the available auxiliary informationrelated to the probability of response enables to strongly reduce the estimation bias. A short numericalstudy supports our findings.
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