Statistical Disclosure Control Based on Random Uncertainty Intervals

  • Jinfang Wang
Conference paper


In this paper we propose a statistical framework for controlling the risk in disclosing public micro-data. The idea is to replace the micro-data by controllable quasi-data represented as uncertainty intervals. An uncertainty interval is an interval covering a genuine datum with specified probability. We also discuss statistical inferences based on random intervals. Problems discussed include point and interval estimation of the mean, two-sample tests and density estimations.


Hausdorff Distance Uncertainty Interval Random Interval Artificial Data Uncertainty Level 
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  1. 1.
    Artstein, Z. and Vitale, R.A. (1975). A strong law of large numbers for random compact sets, Ann. Prob. 3, 879–882.MathSciNetMATHCrossRefGoogle Scholar
  2. 2.
    Giné, E. Hahn, M.G. and Zinn, J. (1985). Limit Theorems for Random Sets, Lecture Notes in Mathematics 990, 112–135, Springer, New York.Google Scholar
  3. 3.
    Hoshino, N. and Takemura, A. (1998). Relationship between logarithmic series model and other superpopulation models useful for microdata disclosure risk assessment. J. Japan Statist. Soc. 28, 125–134.MathSciNetMATHGoogle Scholar
  4. 4.
    Kruse, R. (1987). On the variance of random compact sets, J. Math. Anal. Appl. 122, 469–473.MathSciNetMATHCrossRefGoogle Scholar
  5. 5.
    Puri, M.L. and Ralescu, D.A. (1983). Differentials of Fuzzy functions, J. Math. Anal. Appl. 91, 552–558.MathSciNetMATHCrossRefGoogle Scholar
  6. 6.
    Taylor, R.L. and Inoue, H. (1985). A strong law of large numbers for random sets in Banach spaces, Bull. Inst. Math. Academia Sinica 13, 403–409.MathSciNetMATHGoogle Scholar
  7. 7.
    Uemura, T. (1993). A law of large numbers for random sets, Fuzzy Sets and Systems 59, 181–188.MathSciNetMATHCrossRefGoogle Scholar
  8. 8.
    Willenborg, L. and Waal, T. (1996). Statistical Disclosure Control in Practice, Lecture Notes in Statistics 111, Springer, New York.Google Scholar
  9. 9.
    Willenborg, L. and Waal, T. (2000). Elements of Statistical Disclosure Control, Springer, New York.Google Scholar

Copyright information

© Springer Japan 2002

Authors and Affiliations

  • Jinfang Wang
    • 1
  1. 1.The Institute of Statistical MathematicsMinato-ku, TokyoJapan

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