JOS

Abstract
Journal of Official Statistics, Vol.14, No.4, 1998. pp. 373383

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A Bayesian, Species-Sampling-Inspired Approach to the Uniques Problem in Microdata Disclosure Risk Assessment

Abstract:
One important measure of disclosure risk for microdata is the proportion of sample uniques which are also population uniques. The distribution of this random variable depends on the population only through its partition structure: the distribution of the numbers of cells of each size. Partition distributions have been extensively studied in population genetics. Portions of that research can be adapted to provide us with the promise of a mathematical framework based on plausible prior distributions with easy to interpret parameters, and a modified Polya urn sampling model from which risk assessment is easily obtained.

Keywords:
Partition structure; Polya urn; Poisson-Dirichlet.

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