Efficient and Model-Agnostic Parameter Estimation Under Privacy-Preserving Post-randomization Data

Fuente: arXiv
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Autores principales: Tian, Qinglong, Zhao, Jiwei
Formato: Preprint
Publicado: 2024
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author Tian, Qinglong
Zhao, Jiwei
author_facet Tian, Qinglong
Zhao, Jiwei
contents Protecting individual privacy is crucial when releasing sensitive data for public use. While data de-identification helps, it is not enough. This paper addresses parameter estimation in scenarios where data are perturbed using the Post-Randomization Method (PRAM) to enhance privacy. Existing methods for parameter estimation under PRAM data suffer from limitations like being parameter-specific, model-dependent, and lacking efficiency guarantees. We propose a novel, efficient method that overcomes these limitations. Our method is applicable to general parameters defined through estimating equations and makes no assumptions about the underlying data model. We further prove that the proposed estimator achieves the semiparametric efficiency bound, making it optimal in terms of asymptotic variance.
format Preprint
id arxiv_https___arxiv_org_abs_2403_07288
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Efficient and Model-Agnostic Parameter Estimation Under Privacy-Preserving Post-randomization Data
Tian, Qinglong
Zhao, Jiwei
Methodology
Protecting individual privacy is crucial when releasing sensitive data for public use. While data de-identification helps, it is not enough. This paper addresses parameter estimation in scenarios where data are perturbed using the Post-Randomization Method (PRAM) to enhance privacy. Existing methods for parameter estimation under PRAM data suffer from limitations like being parameter-specific, model-dependent, and lacking efficiency guarantees. We propose a novel, efficient method that overcomes these limitations. Our method is applicable to general parameters defined through estimating equations and makes no assumptions about the underlying data model. We further prove that the proposed estimator achieves the semiparametric efficiency bound, making it optimal in terms of asymptotic variance.
title Efficient and Model-Agnostic Parameter Estimation Under Privacy-Preserving Post-randomization Data
topic Methodology
url https://arxiv.org/abs/2403.07288