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A stratified estimation of a sensitive character by using geometric distribution

Author

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  • Gi-Sung Lee
  • Ki-Hak Hong
  • Chang-Kyoon Son
  • Jong-Min Kim

Abstract

In this paper, we consider the estimation of a sensitive character when the population is consisted of several strata; this is undertaken by applying Niharika et al.’s model which is using geometric distribution as a randomization device. A sensitive parameter is estimated for the case in which stratum size is known, and proportional and optimum allocation methods are taken into account. We extended the Niharika et al.’s model to the case of an unknown stratum size; a sensitive parameter is estimated by applying stratified double sampling to the Niharika et al.’s model. Finally, the efficiency of the proposed model is compared with that of Niharika et al. in terms of the estimator variance.

Suggested Citation

  • Gi-Sung Lee & Ki-Hak Hong & Chang-Kyoon Son & Jong-Min Kim, 2020. "A stratified estimation of a sensitive character by using geometric distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 49(13), pages 3184-3205, July.
    • Handle: RePEc:taf:lstaxx:v:49:y:2020:i:13:p:3184-3205
    DOI: 10.1080/03610926.2019.1586939
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