EN
An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable
Abstract
In this paper, we have suggested a new randomized response model
and its properties have been studied. The proposed model is found
to be more efficient than the randomized response models studied by
Bar – Lev et al. (2004) and Eichhorn and Hayre (1983). The relative
efficiency of the proposed model has been studied with respect to the
Bar – Lev et al.’s (2004) and Eichhorn and Hayre’s (1983) models.
Numerical illustrations are also given to support the present study.
Keywords
References
- Ahsanullah M. and Eichhorn B.H. (1988). On estimation of response from scrambled quantitative data. Pakistan Journal of Statistics, 4(2), 83-91.
- Bar –Lev S.K., Bobovitch E. and Boukai B. (2004). A note on Randomized response models for quantitative data. Metrika, 60, 225-250.
- Chaudhuri A. and Mukerjee R. (1988). Randomized Response: Theory and Techniques. Marcel- Dekker, New York, USA.
- Chaudhuri A. and Christofides T. (2013). Indirect Questioning in Sample Surveys. DOI 10.1007/978-3-642-36276-7-3, Springer – Verlag Berlin Heidelberg.
- Eichhorn B.H. and Hayre, L.S. (1983). Scrambled randomized response methods for obtaining sensitive quantitative data. Journal of Statistics Planning and Inference,7,307-316.
- Fox J.A. and Tracy P.E. (1986). Randomized Response: A method of Sensitive Surveys. Newbury Park, CA: SEGE Publications.
- Gjestvang C.R. and Singh S. (2006). A new randomized response model. Journal of the Royal Statistical Society, 68, 523-530.
- Gjestvang C.R. and Singh S. (2009). An improved randomized response model: Estimation of mean, Journal of Applied Statistics, 36(12), 1361-1367.
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
April 1, 2016
Submission Date
June 16, 2014
Acceptance Date
February 16, 2015
Published in Issue
Year 2016 Volume: 45 Number: 2
APA
P. Singh, H., & Tarray, T. A. (2016). An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable. Hacettepe Journal of Mathematics and Statistics, 45(2), 593-608. https://izlik.org/JA73FL93XF
AMA
1.P. Singh H, Tarray TA. An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable. Hacettepe Journal of Mathematics and Statistics. 2016;45(2):593-608. https://izlik.org/JA73FL93XF
Chicago
P. Singh, Housila, and Tanveer A Tarray. 2016. “An Improved Bar - Lev, Bobovitch and Boukai Randomized Response Model Using Moments Ratios of Scrambling Variable”. Hacettepe Journal of Mathematics and Statistics 45 (2): 593-608. https://izlik.org/JA73FL93XF.
EndNote
P. Singh H, Tarray TA (April 1, 2016) An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable. Hacettepe Journal of Mathematics and Statistics 45 2 593–608.
IEEE
[1]H. P. Singh and T. A. Tarray, “An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable”, Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 2, pp. 593–608, Apr. 2016, [Online]. Available: https://izlik.org/JA73FL93XF
ISNAD
P. Singh, Housila - Tarray, Tanveer A. “An Improved Bar - Lev, Bobovitch and Boukai Randomized Response Model Using Moments Ratios of Scrambling Variable”. Hacettepe Journal of Mathematics and Statistics 45/2 (April 1, 2016): 593-608. https://izlik.org/JA73FL93XF.
JAMA
1.P. Singh H, Tarray TA. An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable. Hacettepe Journal of Mathematics and Statistics. 2016;45:593–608.
MLA
P. Singh, Housila, and Tanveer A Tarray. “An Improved Bar - Lev, Bobovitch and Boukai Randomized Response Model Using Moments Ratios of Scrambling Variable”. Hacettepe Journal of Mathematics and Statistics, vol. 45, no. 2, Apr. 2016, pp. 593-08, https://izlik.org/JA73FL93XF.
Vancouver
1.Housila P. Singh, Tanveer A Tarray. An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable. Hacettepe Journal of Mathematics and Statistics [Internet]. 2016 Apr. 1;45(2):593-608. Available from: https://izlik.org/JA73FL93XF