References
- Anderson, H. 1977. Efficiency versus protection in a general randomized response model. Scandinavian Journal of Statistics 4:11–9.
- Bar-Lev, S. K., E. Bobovitch, and B. Boukai. 2004. A note on randomized response models for quantitative data. Metrika 60 (3):255–60.
- Batool, F., J. Shabbir, and Z. Hussain. 2017. On the estimation of a sensitive quantitative mean using blank cards. Communications in Statistics-Theory and Methods 46 (6):3070–9.
- Bharagava, M., and R. Singh. 1999. A note on a modified randomization device using unrelated question. Metron-International Journal of Statistics 57 (3–4):141–5.
- Bose, M., and K. Dihidar. 2018. Privacy protection measures for randomized response surveys on stigmatizing continuous variables. Journal of Applied Statistics:1. DOI: doi:10.1080/02664763.2018.1440540.
- Chaudhuri, A., and R. Mukerjee. 1988. Randomized response: Theory and techniques. New York, NY: Marcel Dekker.
- Diana, G., and P. F. Perri. 2010. New scrambled response models for estimating the mean of a sensitive quantitative character. Journal of Applied Statistics 37 (11):1875–90.
- Diana, G., and P. F. Perri. 2011. A class of estimators for quantitative sensitive data. Statistical Papers 52 (3):633–50.
- Diana, G., M. Giordan, and P. F. Perri. 2013. Randomized response surveys: A note on some privacy protection measures. Model Assisted and Applications 8:19–28.
- Eichhorn, B. H., and L. S. Hayre. 1983. Scrambled randomized response methods for obtaining sensitive quantitative data. Journal of Statistical Planning and Inference 7 (4):307–16.
- Eriksson, S. A. 1973. A new model for randomized response. International Statistical Review/Revue Internationale De Statistique 41 (1):101–13.
- Giordano, S., and P. F. Perri. 2012. Efficiency comparison of unrelated questions models based on same privacy protection degree. Statistical Papers 53 (4):987–99.
- Greenberg, B. G., A. Abul-Ela, W. R. Simmons, and D. G. Horvitz. 1969. The unrelated question randomized response model: Theoretical framework. Journal of the American Statistical Association 64 (326):520–39.
- Greenberg, B. G., R. R. Kuebler, Jr, J. R. Abernathy, and D. G. Horvitz. 1971. Application of the randomized response technique in obtaining quantitative data. Journal of the American Statistical Association 66 (334):243–50.
- Grewal, I. S., M. L. Bansal, and S. S. Sidhu. 2005–2006. Population mean estimator corresponding to horvitz-Thompson’s Estimator for multi-characteristics using randomised response technique. Model Assisted Statistics and Applications 1 (4):215–20.
- Gupta, S., J. Shabbir, R. Sousa, and P. Corte-Real. 2012. Estimation of the mean of a sensitive variable in the presence of auxiliary information. Communications in Statistics-Theory and Methods 41(13–14):2394–404.
- Gupta, S., B. Thornton, J. Shabbir, and S. Singhal. 2006. A comparison of multiplicative and additive optional RRT models. Journal of Statistical Theory and Applications 5:226–39.
- Hirano, K. 1977. Estimation procedures based on preliminary test, shrinkage technique and information criterion. Annals of the Institute of Statistical Mathematics 29 (1):317–34.
- Huang, K. C. 2008. Estimation for sensitive characteristics using optional randomized response technique. Quality & Quantity 42 (5):679–86.
- Hussain, Z., M. M. Al-Sobhi, and B. Al-Zahrani. 2014. Additive and subtractive scrambling in optional randomized response modeling. PLoS One 9 (1):e83557.
- Kullback, S., and R. A. Leibler. 1951. On information and sufficiency. The Annals of Mathematical Statistics 22 (1):79–86.
- Lanke, J. 1976. On the degree of protection in randomized interviews. International Statistical Review 44 (2):197–203.
- Leysieffer, R. W., and S. L. Warner. 1976. Respondent jeopardy and optimal designs in randomized response models. Journal of the American Statistical Association 71 (355):649–56.
- Ljungqvist, L. 1993. A unified approach to measures of privacy protection in randomized response models: a utilitarian perspective. Journal of the American Statistical Association 88 (421):97–103.
- Mahajan, P. K., J. P. Gupta, and R. Singh. 1994. Determination of optimum strata boundaries for scrambled response. Statistica 54 (3):375–81.
- Mahmood, M., S. Singh, and S. Horn. 1998. On the confidentiality guaranteed under randomized response sampling: a comparison with several new techniques. Biometrical Journal 40 (2):237–42.
- Mangat, N. S., S. Singh, and S. Ravindra. 1995. On use of a modified randomization device inWarner’s model. Journal of Indian Society for Statistics and Operational Research 16:65–9.
- Mehta, J. S., and R. Srinivasan. 1971. Estimation of the mean by shrinkage to a point. Journal of American Statistics Association 66 (333):86–90.
- Nayak, T. K., and S. A. Adeshiyan. 2009. A unified framework for analysis and comparison of randomized response surveys of binary characteristics. Journal of Statistical Planning and Inference 139 (8):2757–66.
- Perri, P. F. 2008. Modified randomized devices for simmons’ model. Model Assisted Statistics and Applications 3 (3):233–9.
- Pollock, K. H., and Y. Bek. 1976. A comparison of three randomized response models for quantitative data. Journal of the American Statistical Association 71 (356):884–6.
- Poole, W. K. 1974. Estimation of the distribution function of a continuous type random variable through randomized response. Journal of the American Statistical Association 69 (348):1002–5.
- Ryu, J. B., J. M. Kim, T. Y. Heo, and C. G. Park. 2006. On stratified randomized response sampling. Model Assisted Statistics and Applications 1 (1):31–6.
- Saha, A. 2007. A simple randomized response technique in complex surveys. Metron 65:59–66.
- Singh, S., S. Horn, R. Singh, and N. S. Mangat. 2003. On the use of modified randomization device for estimating the prevalence of a sensitive attribute. Statistics in Transition 6 (4):515–22.
- Thompson, J. R. 1968. Some shrinkage techniques for estimating the mean. Journal of American Statistics Association 63 (321):113–22.
- Warner, S. L. 1965. Randomized response: a survey technique for eliminating evasive answer bias. Journal of the American Statistical Association 60 (309):63–9.
- Zaizai, Y., W. Jingyu, and L. Junfeng. 2008. An efficiency and protection degree-based comparison among the quantitative randomized response strategies. Communications in Statistics-Theory and Methods 38 (3):400–8.