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Admissible unbiased estimation of finite population variance under a randomized response model |
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| Authors: | S Sengupta |
| Institution: | 1. Department of Statistics, University of Calcutta, 35, Ballygunge Circular Road, Kolkata, Indiasamindras@yahoo.co.in |
| 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 |