Citation: | Yihui ZHOU, Wenli WANG, Jun YAN, et al., “The Optimization of Binary Randomized Response Based on Lanke Privacy and Utility Analysis,” Chinese Journal of Electronics, vol. 34, no. 1, pp. 1–15, 2025 doi: 10.23919/cje.2023.00.272 |
[1] |
C. Dwork, “Differential privacy,” in Proceedings of the 33rd International Colloquium on Automata, Languages and Programming, Venice, Italy, pp. 1–12, 2006.
|
[2] |
S. P. Kasiviswanathan, H. K. Lee, K. Nissim, et al., “What can we learn privately?,” in Proceedings of the 49th Annual IEEE Symposium on Foundations of Computer Science, Philadelphia, PA, USA, pp. 531–540, 2008.
|
[3] |
J. C. Duchi, M. I. Jordan, and M. J. Wainwright, “Local privacy and statistical minimax rates,” in Proceedings of the 54th Annual Symposium on Foundations of Computer Science, Berkeley, CA, USA, pp. 429–438, 2013.
|
[4] |
Ú. Erlingsson, V. Pihur, and A. Korolova, “RAPPOR: Randomized aggregatable privacy-preserving ordinal response,” in Proceedings of 2014 ACM SIGSAC Conference on Computer and Communications Security, Scottsdale, AZ, USA, pp. 1054–1067, 2014.
|
[5] |
S. L. Warner, “Randomized response: A survey technique for eliminating evasive answer bias,” Journal of the American Statistical Association, vol. 60, no. 309, pp. 63–69, 1965. doi: 10.1080/01621459.1965.10480775
|
[6] |
N. S. Mangat, S. Singh, and R. Singh, “On use of a modified randomization device in Warner’s model,” Journal of the Indian Society of Statistics and Operations Research, vol. 16, no. 1−4, pp. 65–69, 1995.
|
[7] |
M. Bhargava and R. Singh, “A modified randomization device for Warner’s model,” Statistica, vol. 60, no. 2, pp. 315–322, 2000. doi: 10.6092/issn.1973-2201/6941
|
[8] |
A. Chaudhuri and R. Mukerjee, Randomized Response: Theory and Techniques. Marcel Dekker, New York, NY, USA, 1988.
|
[9] |
G. Narjis and J. Shabbir, “An improved two-stage randomized response model for estimating the proportion of sensitive attribute,” Sociological Methods & Research, vol. 52, no. 1, pp. 335–355, 2023. doi: 10.1177/00491241211009950
|
[10] |
B. G. Greenberg, A. L. A. Abul-Ela, W. R. Simmons, et al., “The unrelated question randomized response model: Theoretical framework,” Journal of the American Statistical Association, vol. 64, no. 326, pp. 520–539, 1969. doi: 10.1080/01621459.1969.10500991
|
[11] |
G. Narjis and J. Shabbir, “Estimation of population proportion and sensitivity level using optional unrelated question randomized response techniques,” Communications in Statistics - Simulation and Computation, vol. 49, no. 12, pp. 3212–3226, 2020. doi: 10.1080/03610918.2018.1538453
|
[12] |
H. P. Singh and S. M. Gorey, “A new efficient unrelated randomized response model,” Communications in Statistics - Theory and Methods, vol. 46, no. 24, pp. 12059–12074, 2017. doi: 10.1080/03610926.2017.1291972
|
[13] |
S. Gupta, J. Shabbir, and R. Iembo, “Modifications to Warner’s model using blank cards,” American Journal of Mathematical and Management Sciences, vol. 26, no. 1−2, pp. 185–196, 2006. doi: 10.1080/01966324.2006.10737666
|
[14] |
F. Batool, J. Shabbir, and Z. Hussain, “An improved binary randomized response model using six decks of cards,” Communications in Statistics - Simulation and Computation, vol. 46, no. 4, pp. 2548–2562, 2017. doi: 10.1080/03610918.2015.1053922
|
[15] |
N. S. Mangat and R. Singh, “An alternative randomized response procedure,” Biometrika, vol. 77, no. 2, pp. 439–442, 1990. doi: 10.1093/biomet/77.2.439
|
[16] |
Z. Hussain, S. A. Cheema, and I. Hussain, “A stratified randomized response model for sensitive characteristics using non identical trials,” Communications in Statistics - Theory and Methods, vol. 49, no. 1, pp. 99–115, 2020. doi: 10.1080/03610926.2018.1530791
|
[17] |
S. Abdelfatah and R. Mazloum, “Efficient estimation in a two-stage randomized response model,” Mathematical Population Studies, vol. 22, no. 4, pp. 234–251, 2015. doi: 10.1080/08898480.2014.953897
|
[18] |
S. Abdelfatah and R. Mazloum, “An efficient two-stage randomized response model under stratified random sampling,” Mathematical Population Studies, vol. 23, no. 4, pp. 222–238, 2016. doi: 10.1080/08898480.2016.1222222
|
[19] |
H. P. Singh and T. A. Tarray, “A stratified Tracy and Osahan’s two-stage randomized response model,” Communications in Statistics - Theory and Methods, vol. 45, no. 11, pp. 3126–3137, 2016. doi: 10.1080/03610926.2014.895839
|
[20] |
T. A. Tarray and H. P. Singh, “A proficient two-stage stratified randomized response strategy,” Journal of Modern Applied Statistical Methods, vol. 17, no. 1, article no. 29, 2018. doi: 10.22237/jmasm/1544453468
|
[21] |
G. N. Singh and S. Suman, “A modified two-stage randomized response model for estimating the proportion of stigmatized attribute,” Journal of Applied Statistics, vol. 46, no. 6, pp. 958–978, 2019. doi: 10.1080/02664763.2018.1529150
|
[22] |
Z. Hussain, S. A. Cheema, and I. Hussain, “An improved two-stage stratified randomized response model for estimating sensitive proportion,” Sociological Methods & Research, vol. 51, no. 3, pp. 1413–1441, 2022. doi: 10.1177/0049124119875963
|
[23] |
G. Narjis and J. Shabbir, “An efficient partial randomized response model for estimating a rare sensitive attribute using Poisson distribution,” Communications in Statistics - Theory and Methods, vol. 50, no. 1, pp. 1–17, 2021. doi: 10.1080/03610926.2019.1628992
|
[24] |
N. Holohan, D. J. Leith, and O. Mason, “Optimal differentially private mechanisms for randomised response,” IEEE Transactions on Information Forensics and Security, vol. 12, no. 11, pp. 2726–2735, 2017. doi: 10.1109/TIFS.2017.2718487
|
[25] |
P. Kairouz, S. Oh, and P. Viswanath, “Extremal mechanisms for local differential privacy,” The Journal of Machine Learning Research, vol. 17, no. 1, pp. 492–542, 2016. doi: 10.48550/arXiv.1407.1338
|
[26] |
J. Lanke, “On the degree of protection in randomized interviews,” International Statistical Review, vol. 44, no. 2, pp. 197–203, 1976. doi: 10.2307/1403277
|