A stratified estimation of a sensitive attribute by using negative binomial and negative hypergeometric distribution as randomization devices

Gi-Sung Lee, Ki-Hak Hong and Chang-Kyoon Son

Communications in Statistics - Theory and Methods, 2022, vol. 51, issue 20, 7148-7171

Abstract: In this paper, when the population is composed of several strata, we deal with the problem of stratified estimation for sensitive attribute by applying the stratified random sampling to the Yennum, Sedory, and Singh (2020) model. In Yennum, Sedory, and Singh (2020) study, they considered the negative binomial and negative hypergeometric distribution as randomization devices. When the size of each stratum was exactly known, the sensitive attribute was estimated by stratification, and the proportional and optimal allocations were examined as a method of allocating samples to each stratum. Also, in case of not knowing the size of each stratum, the sensitive attribute was estimated by using two phase sampling design, and the method of allocating samples to each stratum was also examined. Also, the efficiency between the proposed stratified model of Yennum, Sedory, and Singh (2020) and the existing model of Yennum, Sedory, and Singh (2020) was compared by numerical study for the different choice parameters.

Date: 2022
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DOI: 10.1080/03610926.2020.1871020

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