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Unobserved heterogeneous treatment effects have been emphasized in recent policy evaluation literature. In this paper, we extend Lu and White (2014)'s testing method for unobserved heterogeneous treatment effects by developing nonparametric…

Methodology · Statistics 2016-11-22 YuChin Hsu , TaCheng Huang , Haiqing Xu

In the context of a binary outcome, treatment, and instrument, Balke and Pearl (1993, 1997) es- tablish that the monotonicity condition of Imbens and Angrist (1994) has no identifying power beyond instrument exogeneity for average potential…

Econometrics · Economics 2026-02-10 Yuehao Bai , Shunzhuang Huang , Sarah Moon , Azeem M. Shaikh , Edward J. Vytlacil

No unmeasured confounding is a common assumption when reasoning about counterfactual outcomes, but such an assumption may not be plausible in observational studies. Sensitivity analysis is often employed to assess the robustness of causal…

Methodology · Statistics 2025-08-20 Abhinandan Dalal , Eric J. Tchetgen Tchetgen

Estimation and inference of treatment effects under unconfounded treatment assignments often suffer from bias and the `curse of dimensionality' due to the nonparametric estimation of nuisance parameters for high-dimensional confounders.…

Methodology · Statistics 2025-07-08 Zeqi Wu , Meilin Wang , Wei Huang , Zheng Zhang

Researchers using instrumental variables to investigate ordered treatments often recode treatment into an indicator for any exposure. We investigate this estimand under the assumption that the instruments shift compliers from no treatment…

Econometrics · Economics 2024-03-04 Evan K. Rose , Yotam Shem-Tov

We study the identification and estimation of long-term treatment effects when both experimental and observational data are available. Since the long-term outcome is observed only after a long delay, it is not measured in the experimental…

Methodology · Statistics 2024-09-04 Guido Imbens , Nathan Kallus , Xiaojie Mao , Yuhao Wang

Missing attributes are ubiquitous in causal inference, as they are in most applied statistical work. In this paper, we consider various sets of assumptions under which causal inference is possible despite missing attributes and discuss…

Methodology · Statistics 2020-05-25 Imke Mayer , Erik Sverdrup , Tobias Gauss , Jean-Denis Moyer , Stefan Wager , Julie Josse

The average treatment effect (ATE), the mean difference in potential outcomes under treatment and control, is a canonical causal effect. Overlap, which says that all subjects have non-zero probability of either treatment status, is…

Methodology · Statistics 2026-05-14 Herbert P. Susmann , Alec McClean , Iván Díaz

Nonseparable panel models are important in a variety of economic settings, including discrete choice. This paper gives identification and estimation results for nonseparable models under time homogeneity conditions that are like "time is…

Methodology · Statistics 2018-01-08 Victor Chernozhukov , Ivan Fernandez-Val , Jinyong Hahn , Whitney Newey

In this paper I derive a set of testable implications for econometric models defined by three assumptions: (i) the existence of strictly exogenous discrete instruments, (ii) restrictions on how the instruments affect adoption of a finite…

Econometrics · Economics 2026-01-22 Ricardo E. Miranda

Randomized experiments are the gold standard for estimating treatment effects, yet network interference challenges the validity of traditional estimators by violating the stable unit treatment value assumption and introducing bias. While…

Methodology · Statistics 2024-09-02 Xin Lu , Hongzi Li , Hanzhong Liu

This paper develops a nonparametric model that represents how sequences of outcomes and treatment choices influence one another in a dynamic manner. In this setting, we are interested in identifying the average outcome for individuals in…

Econometrics · Economics 2019-01-16 Sukjin Han

Causal inference plays an important role in explanatory analysis and decision making across various fields like statistics, marketing, health care, and education. Its main task is to estimate treatment effects and make intervention…

Methodology · Statistics 2024-07-22 Yingrong Wang , Haoxuan Li , Minqin Zhu , Anpeng Wu , Ruoxuan Xiong , Fei Wu , Kun Kuang

This paper studies inference for the local average treatment effect in randomized controlled trials with imperfect compliance where treatment status is determined according to "matched pairs." By "matched pairs," we mean that units are…

Econometrics · Economics 2024-06-28 Yuehao Bai , Hongchang Guo , Azeem M. Shaikh , Max Tabord-Meehan

Beyond conditional average treatment effects, treatments may impact the entire outcome distribution in covariate-dependent ways, for example, by altering the variance or tail risks for specific subpopulations. We propose a novel estimand to…

Machine Learning · Statistics 2026-03-18 Saksham Jain , Alex Luedtke

Estimating causal effects in a target population with unmeasured confounders is challenging, especially when instrumental variables (IVs) are unavailable. However, IVs from auxiliary populations with similar problems can help infer causal…

Methodology · Statistics 2025-08-06 Wei Li , Jiapeng Liu , Peng Ding , Zhi Geng

Many identification results in instrumental variables (IV) models hold without requiring any restrictions on the distribution of potential outcomes, or how those outcomes are correlated with selection behavior. This enables IV models to…

Econometrics · Economics 2025-02-28 Leonard Goff

This paper develops a nonparametric framework to identify and estimate distributional treatment effects under nonseparable endogeneity. We begin by revisiting the widely adopted \emph{rank similarity} (RS) assumption and characterizing it…

Econometrics · Economics 2025-10-21 Sukjin Han , Haiqing Xu

We study nonasymptotic (finite-sample) confidence intervals for treatment effects in randomized experiments. In the existing literature, the effective sample sizes of nonasymptotic confidence intervals tend to be looser than the…

In this work, we consider causal inference in various high-dimensional treatment settings, including for single multi-valued treatments and vector treatments with binary or continuous components, when the number of treatments can be…

Statistics Theory · Mathematics 2026-02-26 Patrick Kramer , Edward H. Kennedy , Isaac M. Opper