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Biometrika
Jun, 2020;107 (2): 497-504.

Consistency for the tree bootstrap in respondent-driven sampling.

A K B Green, T H McCormick, A E Raftery
Author Information
  1. A K B Green: Scottish Government, Atlantic Quay, 150 Broomielaw, Glasgow G2 8LU, UK.
  2. T H McCormick: Department of Statistics, University of Washington, Seattle, Washington 98195-4322, USA.
  3. A E Raftery: Department of Statistics, University of Washington, Seattle, Washington 98195-4322, USA.
PMID: 32454530 DOI: 10.1093/biomet/asz067

Abstract

Respondent-driven sampling is an approach for estimating features of populations that are difficult to access using standard survey tools, e.g., the fraction of injection drug users who are HIV positive. Baraff et al. (2016) introduced an approach to estimating uncertainty in population proportion estimates from respondent-driven sampling using the tree bootstrap method. In this paper we establish the consistency of this tree bootstrap approach in the case of [Formula: see text]-trees.

Keywords

Block bootstrap Consistency Respondent-driven sampling Tree bootstrap

References

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Created with Highcharts 10.0.0bootstrapsamplingapproachtreeRespondent-drivenestimatingusingrespondent-drivenConsistencyfeaturespopulationsdifficultaccessstandardsurveytoolsegfractioninjectiondrugusersHIVpositiveBaraffetal2016introduceduncertaintypopulationproportionestimatesmethodpaperestablishconsistencycase[Formula:seetext]-treesBlockTree

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