Estimation of Multinomial Proportions using Higher Order Moments of Scrambling Variables in Randomized Response Sampling
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A New Optimal Estimator of Population Proportion in Randomized Response Sampling
A new optimal estimator of population proportion of potentially sensitive attributes in survey sampling is proposed and investigated. The proposed estimator makes use of known average values and known common variance of two scrambling variables at the data collection and estimation stages; more cooperation is expected from the respondents than in the Franklin (1989) model. The variance of the p...
متن کاملUtilization of higher order moments of scrambling variables in randomized response sampling
Article history: Received 13 October 2008 Received in revised form 24 January 2009 Accepted 26 January 2009 Available online 3 February 2009
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In this paper, we suggest a new method to estimate the proportions of two nonoverlapping sensitive attributes using the famous method of Franklin (1989: Communications in Statistics-Theory and Methods). The extension is based on the recent work of Singh and Chen (2009: Journal of Statistical Planning and Inference) where they suggest to utilize higher order moments of the scrambling variable to...
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تاریخ انتشار 2017