Nimble randomization device for estimating a rare sensitive attribute using Poisson distribution

T. A. Tarray
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Abstract

This paper addresses the problem of estimating the mean of the number of persons possessing a rare sensitive attribute utilizing the Poisson distribution in survey sampling. Properties of the proposed randomized response model have been studied along with recommendations. It is also shown that the proposed model is more efficient than Land et al. (2011) when the proportion of persons possessing a rare unrelated attribute is known. Numerical illustration is also given in support of the present study.
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一种利用泊松分布估计稀有敏感属性的灵活随机化装置
本文研究了在抽样调查中利用泊松分布估计具有罕见敏感属性的人数的平均值的问题。所提出的随机反应模型的性质已被研究并提出了建议。研究还表明,当拥有罕见不相关属性的人的比例已知时,所提出的模型比Land等人(2011)的效率更高。文中还给出了数值说明来支持本文的研究。
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