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Anecdotally, using an estimated propensity score is superior to the true propensity score in estimating the average treatment effect based on observational data.
A generalization of sampling without replacement from a finite universe
D. G. Horvitz and D. J. Thompson · 1952
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Some applications of the metric entropy condition to harmonic analysis
G. Pisier · 1983
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The central role of the propensity score in observational studies for causal effects
P. R. Rosenbaum and D. B. Rubin · 1983
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Reducing bias in observational studies using subclassification on the propensity score
P. R. Rosenbaum and D. B. Rubin · 1984
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Constructing a control group using multivariate matched sampling methods that incorporate the propensity score
P. R. Rosenbaum and D. B. Rubin · 1985
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Model-based direct adjustment
P. R. Rosenbaum · 1987
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Asymptotic behavior of likelihood methods for exponential families when the number of parameters tends to infinity
S. Portnoy · 1988
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Estimating exposure effects by modelling the expectation of exposure conditional on confounders
J. M. Robins, S. D. Mark, and W. K. Newey · 1992
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Characterizing the effect of matching using linear propensity score methods with normal distributions
D. B. Rubin and N. Thomas · 1992
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Limit theorems for U-processes
M. A. Arcones and E. Giné · 1993
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Estimation of regression coefficients when some regressors are not always observed
James M Robins, Andrea Rotnitzky, and Lue Ping Zhao · 1994
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Weak convergence and Empirical processes
A. W. van der Vaart and J. A Wellner · 1996
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On the role of the propensity score in efficient semiparametric estimation of average treatment effects
J. Hahn · 1998
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Efficient estimation of average treatment effects using the estimated propensity score
K. Hirano, G. W Imbens, and G. Ridder · 2003
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A paradox concerning nuisance parameters and projected estimating functions
M. Henmi and S. Eguchi · 2004
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A tail inequality for suprema of unbounded empirical processes with applications to Markov chains
Double/debiased machine learning for treatment and structural parameters
V. Chernozhukov, D. Chetverikov, M. Demirer, E. Duflo, C. Hansen, W. Newey, and J. Robins · 2018
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Regression adjustment in completely randomized experiments with a diverging number of covariates
L. Lei and P. Ding · 2018
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Minimax semiparametric learning with approximate sparsity
J. Bradic, V. Chernozhukov, W. K. Newey, and Y. Zhu · 2019
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Two-step estimation and inference with possibly many included covariates
M. D. Cattaneo, M. Jansson, and X. Ma · 2019
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High-dimensional statistics: A non-asymptotic viewpoint
M. J. Wainwright · 2019
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R. Adamczak · 2008
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A puzzling phenomenon in semiparametric estimation problems with infinite-dimensional nuisance parameters
K. Hitomi, Y. Nishiyama, and R. Okui · 2008
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Semiparametric minimax rates
J. M. Robins, E. T. Tchetgen, L. Li, and A. W. van der Vaart · 2009
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Matching on the estimated propensity score
A. Abadie and G. W Imbens · 2016
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Y. Wang and R. D. Shah · 2020
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Estimating nuisance parameters often reduces the variance (with consistent variance estimation)
J. J. Lok · 2021
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K. Jiang, R. Mukherjee, S. Sen, and P. Sur · 2022
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Optimal off-policy estimation of linear functionals: a non-asymptotic theory of semi-parametric efficiency
W. Mou, M. J. Wainwright, and P. L. Bartlett · 2022
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