Improved Estimation of Rare Sensitive Attribute in a Stratified Sampling Using Poisson Distribution

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DOI: 10.4236/ojs.2016.61011    3,775 Downloads   4,708 Views  Citations

ABSTRACT

In this study, we propose a two stage randomized response model. Improved unbiased estimators of the mean number of persons possessing a rare sensitive attribute under two different situations are proposed. The proposed estimators are evaluated using a relative efficiency comparison. It is shown that our estimators are efficient as compared to existing estimators when the parameter of rare unrelated attribute is known and in unknown case, depending on the probability of selecting a question.

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Wakeel, A. and Anwar, M. (2016) Improved Estimation of Rare Sensitive Attribute in a Stratified Sampling Using Poisson Distribution. Open Journal of Statistics, 6, 85-95. doi: 10.4236/ojs.2016.61011.

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