Bayesian disclosure risk assessment: Predicting small frequencies in contingency tables

Journal of the Royal Statistical Society. Series C: Applied Statistics

Volumn 56, Issue 5, 2007, Pages 551-570

  Forster, Jonathan J ^a   Webb, Emily L ^b  

^a UNIVERSITY OF SOUTHAMPTON   (United Kingdom)

^b INSTITUTE OF CANCER RESEARCH   (United Kingdom)

Author keywords

Categorical data; Identification; Model uncertainty; Prediction

Indexed keywords

EID: 34848900187     PISSN: 00359254     EISSN: 14679876     Source Type: Journal    
DOI: 10.1111/j.1467-9876.2007.00591.x     Document Type: Article

References (21)

1. Abramowitz, M. Stegun, I. A. (1965) Handbook of Mathematical Functions. New York : Dover Publications.
2. Benedetti, R. Franconi, L 1998) Statistical and technical solutions for controlled data dissemination. In Pre-proc. New Techniques and Technologies for Statistics, vol pp. 225 232.
3. Bethlehem, J. G., Keller, W. J. Pannekoek, J. (1990) Disclosure control of microdata. J. Am. Statist. Ass., 85, 38 45.
4. Cowell, R. G., Dawid, A. P., Lauritzen, S. L. Spiegelhalter, D. J. (1999) Probabilistic Networks and Expert Systems. New York : Springer.
5. Dawid, A. P. Lauritzen, S. L. (1993) Hyper Markov laws in the statistical analysis of decomposable graphical models. Ann. Statist., 21, 1272 1317.
6. Elamir, E. A. H. Skinner, C. J. (2006) Record-level measures of disclosure risk for survey microdata. J. Off. Statist., 22, 525 539.
7. Ericson, W. A. (1969) Subjective Bayesian models in sampling finite populations. J. R. Statist. Soc. B, 31, 195 224.
8. Fan, D. Y. (1991) The distribution of the product of independent beta variables. Communs Statist. Theory Meth., 20, 4043 4052.
9. Fienberg, S. E. Makov, U. E. (1998) Confidentiality, uniqueness and disclosure limitation for categorical data. J. Off. Statist., 14, 385 397.
10. Hankin, R. K. S 2005) The Davies Package. Vienna: R Foundation for Statistical Computing. (Available from http://cran.r-project.org/doc/packages/ Davies.pdf.)
11. Hoeting, J. A., Madigan, D., Raftery, A. E. Volinsky C. T. (1999) Bayesian model averaging: a tutorial. Statist. Sci., 14, 382 401.
12. Madigan, D. Raftery, A. E. (1994) Model selection and accounting for model uncertainty in graphical models using Occam's window. J. Am. Statist. Ass., 89, 1535 1546.
13. Madigan, D. York, J. (1995) Bayesian graphical models for discrete data. Int. Statist. Rev., 63, 215 232.
14. Office for National Statistics and University of Manchester (2005) 2001 Individual Sample of Anonymised Records (Licensed File). London : Office for National Statistics.
15. Omori, Y 1999) Measuring identification disclosure risk for categorical microdata by posterior population uniqueness. In Proc. Int. Conf. Statistical Data Protection, pp. 59 76. Luxembourg : Eurostat.
16. Polettini, S 2003) Some remarks on the individual risk methodology. In Proc. Joint ECE-Eurostat Wrk Sessn Statistical Data Confidentiality. Luxembourg: Office for Official Publications of the European Communities.
17. Polettini, S. Stander, J. (2005) A hierarchical Bayesian model approach to risk estimation in statistical disclosure limitation. Lect. Notes Comput. Sci., 3050, 247 261.
18. Rinott, Y 2003) On models for statistical disclosure risk estimation. In Proc. Joint ECE-Eurostat Wrk Sessn Statistical Data Confidentiality. Luxembourg: Office for Official Publications of the European Communities.
19. Skinner, C. J. Elliot, M. J. (2002) A measure of disclosure risk for microdata. J. R. Statist. Soc. B, 64, 855 867.
20. Skinner, C. J. Holmes, D. J. (1998) Estimating the re-identification risk per record in microdata. J. Off. Statist., 14, 361 372.
21. Takemura, A 1999) Some superpopulation models for estimating the number of population uniques. In Proc. Int. Conf. Statistical Data Protection, pp. 45 58. Luxembourg : Eurostat.