4.3 Article

A class of estimators for quantitative sensitive data

Journal

STATISTICAL PAPERS
Volume 52, Issue 3, Pages 633-650

Publisher

SPRINGER
DOI: 10.1007/s00362-009-0273-1

Keywords

Auxiliary variable; Privacy protection measures; Regression-type estimator; Scrambled responses; Simulation

Funding

  1. Italian Ministry of University and Research, MIUR

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Randomized response methods for quantitative sensitive data are treated in an unified approach which includes the use of auxiliary information at the estimation stage. A class of estimators for the mean of a sensitive variable is proposed under a generic randomization model and the optimum estimator is obtained. Some special models are discussed in detail. To evaluate the degree of respondents' confidentiality in models using auxiliary variables, a new measure of privacy protection is introduced. Different models are then compared both from the perspective of efficiency and privacy protection.

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