Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling
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May 1, 2012
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Cheng C. Chen
Texas A&M University
Sarjinder Singh
Texas A&M University
Abstract
An extension to estimating multinomial proportions of potentially sensitive attributes in survey sampling is proposed using higher order moments of scrambling variables at the estimation stage to produce unbiased estimators. The variance and covariance expressions are derived and the relative efficiency of the proposed estimators based on scrambling variables is investigated.
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