Admissible unbiased estimation of finite population variance under a randomized response model

ABSTRACT

We consider the problem of estimation of a finite population variance related to a sensitive character under a randomized response model and prove (i) the admissibility of an estimator for a given sampling design in a class of quadratic unbiased estimators and (ii) the admissibility of a sampling strategy in a class of comparable quadratic unbiased strategies.

KEYWORDS:

• Admissibility
• Finite population variance
• Probability sampling design
• Quadratic unbiased estimator
• Randomized response model
• Sampling strategy
• Sensitive character

MATHEMATICS SUBJECT CLASSIFICATION:

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Acknowledgment

We would like to thank the referees and the Associate Editor for some useful comments on an earlier draft of the paper.