A theoretical basis for perturbation methods

Statistics and Computing

Volumn 13, Issue 4, 2003, Pages 329-335

  Muralidhar, Krishnamurty ^a   Sarathy, Rathindra ^b  

^a UNIVERSITY OF KENTUCKY   (United States)

^b OKLAHOMA STATE UNIVERSITY   (United States)

Author keywords

Confidentiality; Data masking; Disclosure risk; Perturbation; Statistical disclosure limitation

Indexed keywords

EID: 0346801841     PISSN: 09603174     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1025610705286     Document Type: Review

References (32)

1. Burridge J. 2003. Information preserving statistical obfuscation. Statistics and Computing 13: 321-327.
2. Clemen R.T. and Reilly T. 1999. Correlations and copulas for decision and risk analysis. Management Science 45: 208-224.
3. Dalenius T. 1977. Towards a methodology for statistical disclosure control. Statistisktidskrift 5: 429-444.
4. Duncan G.T. and Lambert D. 1986. Disclosure limited data dissemination. Journal of the American Statistical Association 81: 10-18.
5. Duncan G.T. and Pearson R.W. 1991. Enhancing access to microdata while protecting confidentiality: Prospects for the future. Statistical Science 6: 219-239.
6. Fienberg S.E., Makov U.E., and Sanil A.P. 1997. A Bayesian approach to data disclosure: Optimal intruder behavior for continuous data. Journal of Official Statistics 13: 75-89.
7. Fienberg S.E., Makov U.E., and Steele R.J. 1998. Disclosure limitation using perturbation and related methods for categorical data. Journal of Official Statistics 14: 485-502.
8. Fuller W.A. 1993. Masking procedures for microdata disclosure limitation. Journal of Official Statistics 9: 383-406.
9. Franconi L. and Stander J. 2002. A model based method for disclosure limitation of business microdata. J. Roy. Stat. Soc. D 51: 51-61.
10. Franconi L. and Stander J. 2003. Spatial and non-spatial model based protection procedures for release of business microdata. Statistics and Computing 13: 295-305.
11. Gouweleeuw J., Kooiman P., Willenborg L., and de Wolf P.P. 1998. Post randomisation for statistical disclosure control: Theory and implementation. Journal of Official Statistics 14: 463-478.
12. Kim J. 1986. A method for limiting disclosure in microdata based on random noise and transformation. In: Proc. ASA Surv. Res. Meth. Sec. ASA, Washington, DC, pp. 370-374.
13. Kooiman P., Willenborg L., and Gouweleeuw J. 1997. PRAM: A method for statistical disclosure limitation of microdata, report. Department of Statistical Methods, Statistics Netherlands, Voorburg.
14. Kruskal W.H. 1958. Ordinal measures of association. Journal of the American Statistical Association 53: 814-861.
15. Liew C.K., Choi U.J., and Liew C.J. 1985. A data distortion by probability distribution. ACM Transactions on Database Systems 10: 395-411.
16. Little R.J.A. 1993. Statistical analysis of masked data. Journal of Official Statistics 9: 407-426.
17. Muralidhar K., Parsa R., and Sarathy R. 1999. A general additive data perturbation method for database security. Management Science 45: 1399-1415.
18. Muralidhar K., Sarathy R., and Parsa R. 2001. An improved security requirement for data perturbation with implications for E-Commerce. Decision Sciences 32: 683-698.
19. Palley M.A. and Simonoff J.S. 1987. The use of regression methodology for the compromise of confidential information in statistical databases. ACM Transactions on Database Systems 12: 593-608.
20. Polettini S., Franconi L., and Stander J. 2002. Model based disclosure protection. In: Domingo-Ferrer J. (Ed.), Inference Control in Statistical Databases: From Theory to Practice, Berlin, Springer.
21. Raghunathan T.E., Reiter J.P., and Rubin D.B. 2003. Multiple imputation for statistical disclosure limitation. Journal of Official Statistics 19: 1-16.
22. Rubin D.B. 1987. Multiple Imputation for Nonresponse in Surveys. John Wiley & Sons, New York.
23. Rubin D.B. 1993. Discussion: Statistical disclosure limitation. Journal of Official Statistics 9: 461-468.
24. Sarathy R. and Muralidhar K. 2002. The security of confidential numerical data in databases. Information Systems Research 13: 389-403.
25. Sarathy R., Muralidhar K., and Parsa R. 2002. Perturbing non-normal confidential variables: The copula approach. Management Science 48: 1613-1627.
26. Sklar A. 1959. Fonctions de Répartition à n dimensions et Leurs Mages. Publications de l'Institut Statisitque de l'Universite de Paris 8: 229-231.
27. Sullivan G. 1989. The use of added error to avoid disclosure in microdata releases. Unpublished Ph.D. Dissertation, Iowa State University, Ames, Iowa.
28. Tendick P. 1991. Optimal noise addition for preserving confidentiality in multivariate data. Journal of Statistical Planning and Inference 27: 341-353.
29. Tendick P. and Matloff N. 1994. A modified random perturbation method for database security. ACM Transactions on Database Systems 19: 47-63.
30. Traub J.F., Yemini Y., and Wozniakowski H. 1984. The statistical security of a statistical database. ACM Transactions on Database Systems 9: 672-679.
31. Willenborg L. and de Waal T. 1996. Statistical Disclosure Control in Practice. Springer Verlag, New York.
32. Willenborg L. and de Waal T. 2001. Elements of Statistical Disclosure Control. Springer Verlag, New York.