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An optional randomized response model for estimating a rare sensitive attribute using Poisson distribution

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  • Tanveer A. Tarray
  • Housila P. Singh

Abstract

The crux of this article is to estimate the mean of the number of persons possessing a rare sensitive attribute based on the Mangat (1991) randomization device by utilizing the Poisson distribution in simple random sampling and stratified sampling. Properties of the proposed randomized response (RR) model have been studied along with recommendations. It is also shown that the proposed model is more efficient than that of Land et al. (2011) in simple random sampling and that of Lee et al. (2013) in stratified random sampling when the proportion of persons possessing a rare unrelated attribute is known. Numerical illustrations are also given in support of the present study.

Suggested Citation

  • Tanveer A. Tarray & Housila P. Singh, 2017. "An optional randomized response model for estimating a rare sensitive attribute using Poisson distribution," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 46(6), pages 2638-2654, March.
    • Handle: RePEc:taf:lstaxx:v:46:y:2017:i:6:p:2638-2654
    DOI: 10.1080/03610926.2015.1040506
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