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We study the problem of estimating finite sample confidence intervals of the mean of a normal population under the constraint of differential privacy.
Shorter confidence intervals for the mean of a normal distribution with known variance
John W Pratt et al · 1963
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The teacher’s corner: More on unbiased estimation of the standard deviation
Ben W. Bolch · 1968
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An asymptotic expansion for the tail area of the t-distribution
Andrew P Soms · 1976
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Minimax estimation of the mean of a normal distribution when the parameter space is restricted
PJ Bickel et al · 1981
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Estimating a bounded normal mean
George Casella and William E Strawderman · 1981
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The tight constant in the dvoretzky-kiefer-wolfowitz inequality
Pascal Massart · 1990
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Introduction to mathematical statistics.(5”” edition)
Robert V Hogg and Allen T Craig · 1995
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Adaptive estimation of a quadratic functional by model selection
Beatrice Laurent and Pascal Massart · 2000
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Estimation in restricted parameter spaces: A review
Eric Marchand and William E Strawderman · 2004
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Practical privacy: the sulq framework
Avrim Blum, Cynthia Dwork, Frank McSherry, and Kobbi Nissim · 2005
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Minimax expected measure confidence sets for restricted location parameters
Steven N Evans, Ben B Hansen, and Philip B Stark · 2005
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Calibrating noise to sensitivity in private data analysis
Cynthia Dwork, Frank McSherry, Kobbi Nissim, and Adam Smith · 2006
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Testing statistical hypotheses
Erich L Lehmann and Joseph P Romano · 2006
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Asymptotic theory of statistics and probability
Anirban DasGupta · 2008
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Differential privacy and robust statistics
Cynthia Dwork and Jing Lei · 2009
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Constructing confidence regions of optimal expected size
Chad M Schafer and Philip B Stark · 2009
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Differential privacy and the secrecy of the sample
Adam Smith · 2009
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Differential privacy for clinical trial data: Preliminary evaluations
Duy Vu and Aleksandra Slavkovic · 2009
Cited alongside, same era.
A statistical framework for differential privacy
Larry Wasserman and Shuheng Zhou · 2009
Cited alongside, same era.
Bounds on the sample complexity for private learning and private data release
Amos Beimel, Shiva Prasad Kasiviswanathan, and Kobbi Nissim · 2010
Cited alongside, same era.
Differential privacy and the risk-utility tradeoff for multi-dimensional contingency tables
Stephen E. Fienberg, Alessandro Rinaldo, and Xiaolin Yang · 2010
Cited alongside, same era.
On the geometry of differential privacy
Moritz Hardt and Kunal Talwar · 2010
Cited alongside, same era.
Privacy in pharmacogenetics: An end-to-end case study of personalized warfarin dosing
Matthew Fredrikson, Eric Lantz, Somesh Jha, Simon Lin, David Page, and Thomas Ristenpart · 2014
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Differentially private exponential random graphs
Vishesh Karwa, Aleksandra B Slavković, and Pavel Krivitsky · 2014
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Differentially private hypothesis testing for normal random variables
Eftychia Solea · 2014
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Differentially private release and learning of threshold functions
Mark Bun, Kobbi Nissim, Uri Stemmer, and Salil Vadhan · 2015
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Private posterior distributions from variational approximations
Vishesh Karwa, Dan Kifer, and Aleksandra B Slavković · 2015
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Probabilistic inference and differential privacy
Oliver Williams and Frank McSherry · 2010
Cited alongside, same era.
Rob Hall, Alessandro Rinaldo, and Larry Wasserman · 2011
Cited alongside, same era.
What can we learn privately?
Shiva Prasad Kasiviswanathan, Homin K Lee, Kobbi Nissim, Sofya Raskhodnikova, and Adam Smith · 2011
Cited alongside, same era.
Privacy-preserving statistical estimation with optimal convergence rates
Adam Smith · 2011
Cited alongside, same era.
Differentially private graphical degree sequences and synthetic graphs
Vishesh Karwa and Aleksandra Slavković · 2012
Cited alongside, same era.
Minimaxity, statistical thinking and differential privacy
Larry Wasserman · 2012
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Thomas Steinke and Jonathan Ullman · 2015
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Differentially private hypothesis testing, revisited
Yue Wang, Jaewoo Lee, and Daniel Kifer · 2015
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Simultaneous private learning of multiple concepts
Mark Bun, Kobbi Nissim, and Uri Stemmer · 2016
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Principled evaluation of differentially private algorithms using dpbench
Michael Hay, Ashwin Machanavajjhala, Gerome Miklau, Yan Chen, and Dan Zhang · 2016
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Inference using noisy degrees: Differentially private β \beta -model and synthetic graphs
Vishesh Karwa and Aleksandra Slavković · 2016
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A new class of private chi-square tests
Daniel Kifer and Ryan Rogers · 2016
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The complexity of differential privacy
Salil Vadhan · 2016
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Priv’it: Private and sample efficient identity testing
Bryan Cai, Constantinos Daskalakis, and Gautam Kamath · 2017
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Differentially private ordinary least squares
Or Sheffet · 2017
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The complexity of differential privacy
Salil Vadhan · 2017
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