Abstract
We consider the problem of unbiased estimation of a finite population proportion related to a sensitive attribute under a randomized response model when independent responses are obtained from each sampled individual as many times as he/she is selected in the sample. We identify a minimal sufficient statistic for the problem and obtain complete classes of unbiased and linear unbiased estimators. We also prove the admissibility of two linear unbiased estimators and the non-existence of a best unbiased or a best linear unbiased estimator.
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Sengupta, S. Estimation Of Finite Population Proportion In Randomized Response Surveys Using Multiple Responses. Sankhya B 77, 75–83 (2015). https://doi.org/10.1007/s13571-014-0084-9
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DOI: https://doi.org/10.1007/s13571-014-0084-9
Keywords and phrases
- Admissibility
- Best unbiased estimator
- Complete class
- Minimal sufficient statistic
- Multiple responses
- Population proportion
- Randomized response