Research Article

An Improved Bar - Lev, Bobovitch and Boukai randomized response model using moments ratios of scrambling variable

Volume: 45 Number: 2 April 1, 2016
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

  1. Ahsanullah M. and Eichhorn B.H. (1988). On estimation of response from scrambled quantitative data. Pakistan Journal of Statistics, 4(2), 83-91.
  2. Bar –Lev S.K., Bobovitch E. and Boukai B. (2004). A note on Randomized response models for quantitative data. Metrika, 60, 225-250.
  3. Chaudhuri A. and Mukerjee R. (1988). Randomized Response: Theory and Techniques. Marcel- Dekker, New York, USA.
  4. Chaudhuri A. and Christofides T. (2013). Indirect Questioning in Sample Surveys. DOI 10.1007/978-3-642-36276-7-3, Springer – Verlag Berlin Heidelberg.
  5. 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.
  6. Fox J.A. and Tracy P.E. (1986). Randomized Response: A method of Sensitive Surveys. Newbury Park, CA: SEGE Publications.
  7. Gjestvang C.R. and Singh S. (2006). A new randomized response model. Journal of the Royal Statistical Society, 68, 523-530.
  8. 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

Authors

Housila P. Singh * This is me

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