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Statistical Disclosure Control Based on Random Uncertainty Intervals

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Enabling Society with Information Technology
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Abstract

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.

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References

  1. Artstein, Z. and Vitale, R.A. (1975). A strong law of large numbers for random compact sets, Ann. Prob. 3, 879–882.

    Article  MathSciNet  MATH  Google Scholar 

  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. 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.

    MathSciNet  MATH  Google Scholar 

  4. Kruse, R. (1987). On the variance of random compact sets, J. Math. Anal. Appl. 122, 469–473.

    Article  MathSciNet  MATH  Google Scholar 

  5. Puri, M.L. and Ralescu, D.A. (1983). Differentials of Fuzzy functions, J. Math. Anal. Appl. 91, 552–558.

    Article  MathSciNet  MATH  Google Scholar 

  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.

    MathSciNet  MATH  Google Scholar 

  7. Uemura, T. (1993). A law of large numbers for random sets, Fuzzy Sets and Systems 59, 181–188.

    Article  MathSciNet  MATH  Google Scholar 

  8. Willenborg, L. and Waal, T. (1996). Statistical Disclosure Control in Practice, Lecture Notes in Statistics 111, Springer, New York.

    Google Scholar 

  9. Willenborg, L. and Waal, T. (2000). Elements of Statistical Disclosure Control, Springer, New York.

    Google Scholar 

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© 2002 Springer Japan

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Wang, J. (2002). Statistical Disclosure Control Based on Random Uncertainty Intervals. In: Jin, Q., Li, J., Zhang, N., Cheng, J., Yu, C., Noguchi, S. (eds) Enabling Society with Information Technology. Springer, Tokyo. https://doi.org/10.1007/978-4-431-66979-1_24

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  • DOI: https://doi.org/10.1007/978-4-431-66979-1_24

  • Publisher Name: Springer, Tokyo

  • Print ISBN: 978-4-431-66981-4

  • Online ISBN: 978-4-431-66979-1

  • eBook Packages: Springer Book Archive

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