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.
Original language | English |
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Pages (from-to) | 1583-1594 |
Journal | Communications In Statistics-Simulation And Computation |
Volume | 43 |
Issue number | 7 |
DOIs | |
Publication status | Published - 2014 |
Keywords
- Absolute relative bias
- Exponential estimator
- Mean squared error
- Randomized response technique
- Regression estimator