Double-sampling regression-cum-exponential estimator of the mean of a sensitive variable |
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Authors: | Iram Saleem Muhammad Hanif |
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Affiliation: | Department of Statistics, National College of Business Administration and Economics, Lahore, Pakistan |
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Abstract: | ABSTRACTA flexible scrambled response model using a randomization device for quantitative sensitive data is used to evaluate the protection of respondents’ privacy. A double-sampling regression-cum-exponential estimator is used to estimate the mean of a sensitive variable using the mean of a nonsensitive auxiliary variable under scrambled response. The expected bias, the expected mean square error, and the minimum mean square error of this exponential-type estimator are expressed. Simulations and empirical results show that the proposed estimator under scrambled response model has a lower mean square error and a lower bias than the ratio and the exponential estimators. |
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Keywords: | Scrambled randomized response protection of privacy mean square error bias exponential estimator |
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