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We propose a nonlinear difference-in-differences method to estimate multivariate counterfactual distributions in classical treatment and control study designs with observational data.
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On the uniform convergence of relative frequencies of events to their probabilities
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Polar factorization and monotone rearrangement of vector-valued functions
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Minimum wages and employment: A case study of the fast-food industry in New Jersey and Pennsylvania
David Card and Alan B Krueger · 1994
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Myth and measurement: The new economics of the minimum wage
Ronald G Ehrenberg, Charles Brown, Richard B Freeman, Daniel S Hamermesh, et al · 1995
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On c-optimal random variables
Ludger Rüschendorf · 1996
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Ralph Tyrell Rockafellar · 1997
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Monotonicity properties of optimal transportation and the FKG and related inequalities
Luis A. Caffarelli · 2000
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Minimum wages and employment: A case study of the fast-food industry in New jersey and Pennsylvania: Comment
David Neumark and William Wascher · 2000
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On the asymptotic theory of subsampling
Dimitris N Politis, Joseph P Romano, and Michael Wolf · 2001
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Correlation and dependence in risk management: properties and pitfalls
Paul Embrechts, Alexander McNeil, and Daniel Straumann · 2002
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The measurement of multidimensional poverty
Francois Bourguignon and Satya R Chakravarty · 2003
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Nonparametric estimation of nonadditive random functions
Rosa L Matzkin · 2003
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Optimal pair matching with two control groups
Bo Lu and Paul R Rosenbaum · 2004
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Semiparametric difference-in-differences estimators
Alberto Abadie · 2005
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An IV model of quantile treatment effects
Victor Chernozhukov and Christian Hansen · 2005
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Large Sample Properties of Matching Estimators for Average Treatment Effects
Alberto Abadie and Guido W. Imbens · 2006
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Identification and inference in nonlinear difference-in-differences models
Susan Athey and Guido W Imbens · 2006
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Robust multidimensional poverty comparisons
Jean-Yves Duclos, David E Sahn, and Stephen D Younger · 2006
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Bounds for functions of multivariate risks
Paul Embrechts and Giovanni Puccetti · 2006
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Nonadditive models with endogenous regressors
Guido W Imbens · 2007
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Empirical processes with applications to statistics
Galen R Shorack and Jon A Wellner · 2009
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Monotonicity and implementability
Itai Ashlagi, Mark Braverman, Avinatan Hassidim, and Dov Monderer · 2010
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Minimum wage effects across state borders: Estimates using contiguous counties
Arindrajit Dube, T William Lester, and Michael Reich · 2010
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Comonotonic measures of multivariate risks
Ivar Ekeland, Alfred Galichon, and Marc Henry · 2010
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Multivariate comonotonicity
Giovanni Puccetti and Marco Scarsini · 2010
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Recovering distributions in difference-in-differences models: A comparison of selective and comprehensive schooling
Stéphane Bonhomme and Ulrich Sauder · 2011
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The estimation of causal effects by difference-in-difference methods
Michael Lechner · 2011
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Reconciling the evidence of Card and Krueger (1994) and Neumark and Wascher (2000)
Olli Ropponen · 2011
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Learning probability measures with respect to optimal transport metrics
Guillermo Canas and Lorenzo Rosasco · 2012
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Uncoupled isotonic regression via minimum Wasserstein deconvolution
Philippe Rigollet and Jonathan Weed · 2019
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Now trending: Coping with non-parallel trends in difference-in-differences analysis
Andrew M Ryan, Evangelos Kontopantelis, Ariel Linden, and James F Burgess Jr · 2019
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Using difference-in-differences to identify causal effects of covid-19 policies
Andrew Goodman-Bacon and Jan Marcus · 2020
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A universal approximation theorem of deep neural networks for expressing probability distributions
Yulong Lu and Jianfeng Lu · 2020
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Optimal transport mapping via input convex neural networks
Ashok Vardhan Makkuva, Amirhossein Taghvaei, Sewoong Oh, and Jason D. Lee · 2020
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Optimal transportation between unequal dimensions
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Comonotonic measures of multivariate risks
Ivar Ekeland, Alfred Galichon, and Marc Henry · 2012
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On the uniform asymptotic validity of subsampling and the bootstrap
Joseph P. Romano and Azeem M. Shaikh · 2012
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Sinkhorn distances: Lightspeed computation of optimal transport
Marco Cuturi · 2013
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Weights in multidimensional indices of wellbeing: An overview
Koen Decancq and María Ana Lugo · 2013
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Fixed b subsampling and the block bootstrap: improved confidence sets based on p-value calibration
Xiaofeng Shao and Dimitris N Politis · 2013
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Revisiting the minimum wage—employment debate: Throwing out the baby with the bathwater?
David Neumark, JM Ian Salas, and William Wascher · 2014
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Robert J McCann and Brendan Pass · 2020
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When is parallel trends sensitive to functional form?
Jonathan Roth and Pedro HC Sant’Anna · 2020
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Fadoua Balabdaoui, Charles R. Doss, and Cécile Durot · 2021
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Identification of hedonic equilibrium and nonseparable simultaneous equations
Victor Chernozhukov, Alfred Galichon, Marc Henry, and Brendan Pass · 2021
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A consistent extension of discrete optimal transport maps for machine learning applications
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Rates of estimation of optimal transport maps using plug-in estimators via barycentric projections
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POT: Python optimal transport
Rémi Flamary, Nicolas Courty, Alexandre Gramfort, Mokhtar Z. Alaya, Aurélie Boisbunon, Stanislas Chambon, Laetitia Chapel, Adrien Corenflos, Kilian Fatras, Nemo Fournier, Léo Gautheron, Nathalie T.H. Gayraud, Hicham Janati, Alain Rakotomamonjy, Ievgen Redko, Antoine Rolet, Antony Schutz, Vivien Seguy, Danica J. Sutherland, Romain Tavenard, Alexander Tong, and Titouan Vayer · 2021
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On the structure of optimal transportation plans between discrete measures
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Selection and parallel trends
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Measure transportation and statistical decision theory
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Parallel trends and dynamic choices
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What’s trending in difference-in-differences? a synthesis of the recent econometrics literature
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Graphical and uniform consistency of estimated optimal transport plans
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