Exponential-Type Estimators of the Mean of a Sensitive Variable in the Presence of Nonsensitive Auxiliary Information |
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| Authors: | Nursel Koyuncu Sat Gupta Rita Sousa |
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| Institution: | 1. Department of Statistics , Hacettepe University , Beytepe , Ankara , Turkey;2. Department of Mathematics and Statistics , University of North Carolina at Greensboro , Greensboro , North Carolina , USA;3. New University of Lisbon &4. Statistics Portugal , Lisbon , Portugal |
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| Abstract: | Sousa et al. and Gupta et al. suggested ratio and regression-type estimators of the mean of a sensitive variable using nonsensitive auxiliary variable. This article proposes exponential-type estimators using one and two auxiliary variables to improve the efficiency of mean estimator based on a randomized response technique. The expressions for the mean squared errors (MSEs) and bias, up to first-order approximation, have been obtained. It is shown that the proposed exponential-type estimators are more efficient than the existing estimators. The gain in efficiency over the existing estimators has also been shown with a simulation study and by using real data. |
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| Keywords: | Absolute relative bias Exponential estimator Mean squared error Randomized response technique Regression estimator |
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