Exponential-Type Estimators of the Mean of a Sensitive Variable in the Presence of Nonsensitive Auxiliary Information
COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION, cilt.43, sa.7, ss.1583-1594, 2014 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 43 Sayı: 7
- Basım Tarihi: 2014
- Doi Numarası: 10.1080/03610918.2012.737492
- Dergi Adı: COMMUNICATIONS IN STATISTICS-SIMULATION AND COMPUTATION
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.1583-1594
- Hacettepe Üniversitesi Adresli: Evet
Özet
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.