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.
Chen, Cheng C. and Singh, Sarjinder
"Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling,"
Journal of Modern Applied Statistical Methods:
1, Article 9.
Available at: http://digitalcommons.wayne.edu/jmasm/vol11/iss1/9