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2003 | OriginalPaper | Chapter

Bounding Entries in Multi-way Contingency Tables Given a Set of Marginal Totals

Authors : Adrian Dobra, Stephen E. Fienberg

Published in: Foundations of Statistical Inference

Publisher: Physica-Verlag HD

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We describe new results for sharp upper and lower bounds on the entries in multi-way tables of counts based on a set of released and possibly overlapping marginal tables. In particular, we present a generalized version of the shuttle algorithm proposed by Buzzigoli and Giusti that computes sharp integer bounds for an arbitrary set of fixed marginals. We also present two examples which illustrate the practical import of the bounds for assessing disclosure risk.

Metadata
Title
Bounding Entries in Multi-way Contingency Tables Given a Set of Marginal Totals
Authors
Adrian Dobra
Stephen E. Fienberg
Copyright Year
2003
Publisher
Physica-Verlag HD
DOI
https://doi.org/10.1007/978-3-642-57410-8_1