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Let P be the proportion of individuals in a finite population possessing a sensitive attribute. We consider the problem of estimation of the population variance P(1 - P) under Warner’s randomized response plan and prove the optimality of a sampling strategy in a class of comparable design unbiased strategies under a super-population model.
We consider the problem of unbiased estimation of a finite population mean (or proportion) related to a sensitive character under a randomized response model and present results on the comparisons of some with and without replacement sampling strategies based on equal and unequal probability sampling designs paralleling those for a direct survey.
We consider the problem of estimation of a finite population proportion (P) related to a sensitive character under the randomized response plans due to Warner (1965) and Eriksson (1973) and prove that for a given probability sampling design, given any linear unbiased estimator (LUE) of P based on Warner’s (1965) plan with any given value of the plan parameter there exists an LUE of P based on Eriksson’s...
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...
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