Fetching the paper…
Reading the bibliography…
We study the problem of estimating a functional $\theta(\mathbb P)$ of an unknown probability distribution $\mathbb P \in\mathcal P$ in which the original iid sample $X_1,\dots, X_n$ is kept private even from the statistician via an $\alpha$-local differential privacy constraint.
[author] Kraft, CharlesC. (1955). Some conditions for consistency and uniform consistency of statistical procedures. University of California Publication in Statistics 2 125–141
1955
Earlier work this paper cites.
[author] Dunford, NelsonN. and Schwartz, Jacob T.J. T. (1957). Linear Operators. Interscience, New York
1957
Earlier work this paper cites.
[author] Sion, MauriceM. (1958). On general minimax theorems. Pacific J. Math. 8 171–176
1958
Earlier work this paper cites.
[author] Warner, Stanley LS. L. (1965). Randomized response: A survey technique for eliminating evasive answer bias. J. Amer. Statist. Assoc. 60 63–69
1965
Earlier work this paper cites.
[author] Krafft, O.O. and Witting, H.H. (1967). Optimale Tests und ungünstigste Verteilungen. Z. Wahrscheinlichkeitstheorie verw. Geb. 7 289–302
1967
Earlier work this paper cites.
[author] Nöle, G.G. and Plachky, D.D. (1967). Zur schwachen Folgenkompaktheit von Testfunktionen. Z. Wahrscheinlichkeitstheorie verw. Geb. 8 182–184
1967
Earlier work this paper cites.
[author] Le Cam, LucienL. (1973). Convergence of estimates under dimensionality restrictions. Ann. Statist. 1 38–53
1973
Earlier work this paper cites.
[author] Rudin, WalterW. (1973). Functional Analysis. McGraw-Hill, New York
1973
Earlier work this paper cites.
[author] Müller, Hans-GeorgH.-G. (1984). Smooth optimum kernel estimators of densities, regression curves and modes. Ann. Statist. 12 766-774
1984
Earlier work this paper cites.
[author] Le Cam, LucienL. (1986). Asymptotic Methods in Statistical Decision Theory. Springer Series in Statistics. Springer, New York
1986
Earlier work this paper cites.
[author] Donoho, David L.D. L. and Liu, Richard C.R. C. (1991). Geometrizing rates of convergence, II. Ann. Statist. 19 633–667
1991
Earlier work this paper cites.
[author] Chow, Yuan S.Y. S. and Teicher, HenryH. (1997). Probability Theory. Independence, Interchangeability, Martingales, third ed. Springer Texts in Statistics. Springer, New York
1997
Cited alongside, same era.
[author] Del Moral, PP., Ledoux, MM. and Miclo, LL. (2003). On contraction properties of Markov kernels. Probab. Theory Relat. Fields 126 395–420
2003
Cited alongside, same era.
Dinur, I
2003
Cited alongside, same era.
Evfimievski, A
2003
Cited alongside, same era.
Dwork, C
2004
Cited alongside, same era.
[author] Hansen, Bruce EB. E. (2005). Exact mean integrated squared error of higher order kernel estimators. Econometric Theory 21 1031–1057
2005
Cited alongside, same era.
2008
Later among the works it cites.
[author] Tsybakov, Alexandre B.A. B. (2009). Introduction to Nonparametric Estimation. Springer Series in Statistics. Springer, New York
2009
Later among the works it cites.
[author] Dwork, CynthiaC. and Smith, AdamA. (2010). Differential privacy for statistics: What we know and what we want to learn. J. Priv. Confid. 1 2
2010
Later among the works it cites.
[author] Wasserman, LarryL. and Zhou, ShuhengS. (2010). A statistical framework for differential privacy. J. Amer. Statist. Assoc. 105 375–389
2010
Later among the works it cites.
Smith, A
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
[author] Lehmann, E. L.E. L. and Romano, J. P.J. P. (2005). Testing Statistical Hypotheses, third ed. Springer Texts in Statistics. Springer, New York
2005
Cited alongside, same era.
Dwork, C
2006
Cited alongside, same era.
Dwork, C
2008
Cited alongside, same era.
[author] Klenke, AchimA. (2008). Probability Theory: A Comprehensive Course. Springer, London
2008
Cited alongside, same era.
Duchi, J
Cited in the paper.
Duchi, J. C
2013
Later among the works it cites.
2014
Later among the works it cites.
[author] Geng, QuanQ. and Viswanath, PramodP. (2015). The optimal noise-adding mechanism in differential privacy. IEEE Trans. Inform. Theory 62 925–951
2015
Later among the works it cites.
2017
Later among the works it cites.
[author] Duchi, John CJ. C., Jordan, Michael IM. I. and Wainwright, Martin JM. J. (2018). Minimax optimal procedures for locally private estimation. J. Amer. Statist. Assoc. 113 182–201
2018
Closest in time.