Optimal locally private estimation under \(\ell_p\) loss for \(1\le p\le 2\)

DOI10.1214/19-EJS1625zbMath1429.62119arXiv1810.07283OpenAlexW2979400116MaRDI QIDQ2326993

Min Ye, Alexander Barg

Publication date: 11 October 2019

Published in: Electronic Journal of Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.07283

zbMATH Keywords

minimax estimationlocal differential privacy

Mathematics Subject Classification ID

Nonparametric estimation (62G05) Minimax procedures in statistical decision theory (62C20)

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Uses Software

• RAPPOR

Cites Work

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• Differential Privacy: A Survey of Results
• Asymptotic Statistics
• Optimal Schemes for Discrete Distribution Estimation Under Locally Differential Privacy
• Minimax Optimal Procedures for Locally Private Estimation
• Universally Utility-maximizing Privacy Mechanisms
• Privacy-preserving statistical estimation with optimal convergence rates
• Theory of Cryptography