A randomization device for estimating a rare sensitive attribute in stratified sampling using Poisson distribution
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The nitty-gritty of this paper is to estimate the mean of the number of persons possessing a rare sensitive attribute by utilizing the Poisson distribution in stratified survey sampling. It is also shown that the proposed models are more efficient than Lee et al.’s (Statistics 47:575–589, 2013) models in both the cases when the proportion of persons possessing a rare unrelated attribute is known and that when it is unknown. Properties of the proposed randomized response models have been studied alongwith recommendations. Numerical illustrations are also given in support of the present study.
KeywordsRandomized response technique Estimation of proportion Rare sensitive characteristics Relative efficiency
Mathematics Subject Classification62D05
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