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In this paper, a new randomized response technique aimed at protecting respondents' privacy is proposed. It is designed for estimating the population total, or the population mean, of a quantitative characteristic. It provides a~high degree…

Methodology · Statistics 2021-01-25 Jaromir Antoch , Francesco Mola , Ondrej Vozar

In this paper we propose a strategy for administering a survey that is mindful of sensitive data and individual privacy. The survey in question seeks to estimate the population proportions of a sensitive, polychotomous variable and does not…

Statistics Theory · Mathematics 2007-06-13 Fernando Esponda

In this paper, we consider the problem of estimating a potentially sensitive (individually stigmatizing) statistic on a population. In our model, individuals are concerned about their privacy, and experience some cost as a function of their…

Computer Science and Game Theory · Computer Science 2012-02-28 Katrina Ligett , Aaron Roth

Ratio statistics--such as relative risk and odds ratios--play a central role in hypothesis testing, model evaluation, and decision-making across many areas of machine learning, including causal inference and fairness analysis. However,…

Machine Learning · Statistics 2025-05-28 Tomer Shoham , Katrina Ligettt

In general, it is challenging to release differentially private versions of survey-weighted statistics with low error for acceptable privacy loss. This is because weighted statistics from complex sample survey data can be more sensitive to…

Cryptography and Security · Computer Science 2024-11-08 Jeremy Seeman , Yajuan Si , Jerome P Reiter

Randomized response has long been used in statistical surveys to estimate the proportion of sensitive groups in a population while protecting the privacy of respondents. More recently, this technique has been adopted by organizations that…

Methodology · Statistics 2025-08-26 Bittu Karmakar , Palash Ghosh

We provide a detailed study of the estimation of probability distributions---discrete and continuous---in a stringent setting in which data is kept private even from the statistician. We give sharp minimax rates of convergence for…

Statistics Theory · Mathematics 2013-05-28 John C. Duchi , Michael I. Jordan , Martin J. Wainwright

Differential privacy is a restriction on data processing algorithms that provides strong confidentiality guarantees for individual records in the data. However, research on proper statistical inference, that is, research on properly…

Cryptography and Security · Computer Science 2021-07-06 Joerg Drechsler , Ira Globus-Harris , Audra McMillan , Jayshree Sarathy , Adam Smith

Private collection of statistics from a large distributed population is an important problem, and has led to large scale deployments from several leading technology companies. The dominant approach requires each user to randomly perturb…

Databases · Computer Science 2021-11-10 Graham Cormode , Samuel Maddock , Carsten Maple

Randomized response, as a basic building-block for differentially private mechanism, has given rise to great interest and found various potential applications in science communities. In this work, we are concerned with three-elements…

Cryptography and Security · Computer Science 2021-12-15 Fei Ma , Ping Wang

We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy. We consider both the known and unknown variance cases and construct differentially…

Cryptography and Security · Computer Science 2017-11-13 Vishesh Karwa , Salil Vadhan

This paper studies the design of an optimal privacyaware estimator of a public random variable based on noisy measurements which contain private information. The public random variable carries non-private information, however, its estimate…

Optimization and Control · Mathematics 2018-08-08 Ehsan Nekouei , Henrik Sandberg , Mikael Skoglund , Karl H. Johansson

Statistical agencies rely on sampling techniques to collect socio-demographic data crucial for policy-making and resource allocation. This paper shows that surveys of important societal relevance introduce sampling errors that unevenly…

Cryptography and Security · Computer Science 2025-01-22 Joonhyuk Ko , Juba Ziani , Saswat Das , Matt Williams , Ferdinando Fioretto

We study the relationship between adversarial robustness and differential privacy in high-dimensional algorithmic statistics. We give the first black-box reduction from privacy to robustness which can produce private estimators with optimal…

Data Structures and Algorithms · Computer Science 2024-06-18 Samuel B. Hopkins , Gautam Kamath , Mahbod Majid , Shyam Narayanan

In this work, we introduce a new approach for statistical quantification of differential privacy in a black box setting. We present estimators and confidence intervals for the optimal privacy parameter of a randomized algorithm $A$, as well…

Cryptography and Security · Computer Science 2022-05-03 Önder Askin , Tim Kutta , Holger Dette

Differential privacy is a cryptographically-motivated definition of privacy which has gained significant attention over the past few years. Differentially private solutions enforce privacy by adding random noise to a function computed over…

Machine Learning · Computer Science 2012-07-03 Kamalika Chaudhuri , Daniel Hsu

Confidence intervals are a fundamental tool for quantifying the uncertainty of parameters of interest. With the increase of data privacy awareness, developing a private version of confidence intervals has gained growing attention from both…

Methodology · Statistics 2024-04-12 Shurong Lin , Mark Bun , Marco Gaboardi , Eric D. Kolaczyk , Adam Smith

We investigate the problems of identity and closeness testing over a discrete population from random samples. Our goal is to develop efficient testers while guaranteeing Differential Privacy to the individuals of the population. We describe…

Machine Learning · Computer Science 2017-07-19 Maryam Aliakbarpour , Ilias Diakonikolas , Ronitt Rubinfeld

Differential privacy is a cryptographically-motivated approach to privacy that has become a very active field of research over the last decade in theoretical computer science and machine learning. In this paradigm one assumes there is a…

Machine Learning · Computer Science 2023-08-02 Marco Avella-Medina

Several official statistics agencies release synthetic data as public use microdata files. In practice, synthetic data do not admit accurate results for every analysis. Thus, it is beneficial for agencies to provide users with feedback on…

Cryptography and Security · Computer Science 2024-04-04 Tong Lin , Jerome P. Reiter
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