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A stratified three-stage randomized response model for estimation of rare sensitive parameter under Poisson approximation

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  • Garib Nath Singh
  • Chandraketu Singh

Abstract

This study investigates the process for estimating the mean number of individuals having rare sensitive attribute in stratified random sampling as well as in stratified random double sampling using Poisson distribution. The properties of the suggested estimation procedures are deeply examined. Empirical studies are performed to support the theoretical results, which show the dominance of the proposed estimators over well-known existing estimators. The results are interpreted and suitable recommendations have been put forward to the survey practitioners.

Suggested Citation

  • Garib Nath Singh & Chandraketu Singh, 2022. "A stratified three-stage randomized response model for estimation of rare sensitive parameter under Poisson approximation," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 51(19), pages 6626-6652, October.
    • Handle: RePEc:taf:lstaxx:v:51:y:2022:i:19:p:6626-6652
    DOI: 10.1080/03610926.2020.1864826
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