A stratified estimation of a sensitive character by using geometric distribution

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

    Research output: Contribution to journalArticle

    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.

    Original languageEnglish (US)
    Pages (from-to)3184-3205
    Number of pages22
    JournalCommunications in Statistics - Theory and Methods
    Volume49
    Issue number13
    DOIs
    StatePublished - Jul 2 2020

    Keywords

    • Niharika et al. model
    • Randomized response model
    • geometric distribution
    • sensitive character
    • stratified sampling

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