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We study the question of how best to assign an encouragement in a randomized encouragement study. In our setting, units arrive with covariates, receive a nudge toward treatment or control, acquire one of those statuses in a way that need…

Methodology · Statistics 2025-05-12 Tim Morrison , Minh Nguyen , Jonathan Chen , Michael Baiocchi , Art B. Owen

This paper explores the estimation of a panel data model with cross-sectional interaction that is flexible both in its approach to specifying the network of connections between cross-sectional units, and in controlling for unobserved…

Econometrics · Economics 2021-11-23 Ayden Higgins , Federico Martellosio

We discuss the fundamental issue of identification in linear instrumental variable (IV) models with unknown IV validity. With the assumption of the "sparsest rule", which is equivalent to the plurality rule but becomes operational in…

Methodology · Statistics 2023-12-06 Yiqi Lin , Frank Windmeijer , Xinyuan Song , Qingliang Fan

We offer straightforward theoretical results that justify incorporating machine learning in the standard linear instrumental variable setting. The key idea is to use machine learning, combined with sample-splitting, to predict the treatment…

Econometrics · Economics 2021-06-22 Jiafeng Chen , Daniel L. Chen , Greg Lewis

Incentive design constitutes a foundational paradigm for influencing the behavior of strategic agents, wherein a system planner (principal) publicly commits to an incentive mechanism designed to align individual objectives with collective…

Optimization and Control · Mathematics 2026-04-08 Georgios Vasileiou , Lantian Zhang , Silun Zhang

When groups of people are tasked with making a judgment, the issue of uncertainty often arises. Existing methods to reduce uncertainty typically focus on iteratively improving specificity in the overall task instruction. However,…

Human-Computer Interaction · Computer Science 2023-10-10 Quan Ze Chen , Amy X. Zhang

With the wide adoption of machine learning techniques, requirements have evolved beyond sheer high performance, often requiring models to be trustworthy. A common approach to increase the trustworthiness of such systems is to allow them to…

Machine Learning · Computer Science 2023-11-16 Andrea Pugnana , Carlos Mougan , Dan Saattrup Nielsen

Use of machine learning to estimate nuisance functions (e.g. outcomes models, propensity score models) in estimators used in causal inference is increasingly common, as it can mitigate bias due to model misspecification. However, it can be…

Methodology · Statistics 2025-07-17 Rachael K. Ross , Lina M. Montoya , Dana E. Goin , Ivan Diaz , Audrey Renson

Causal inference methods have been applied in various fields where researchers want to estimate treatment effects. In traditional causal inference settings, one assumes that the outcome of a unit does not depend on treatments of other…

Methodology · Statistics 2022-09-05 Kelly Kung , Daniel L. Sussman

We derive fixed effects estimators of parameters and average partial effects in (possibly dynamic) nonlinear panel data models with individual and time effects. They cover logit, probit, ordered probit, Poisson and Tobit models that are…

Methodology · Statistics 2018-12-19 Ivan Fernandez-Val , Martin Weidner

Parameter inference is essential when interpreting observational data using mathematical models. Standard inference methods for differential equation models typically rely on obtaining repeated numerical solutions of the differential…

Methodology · Statistics 2024-12-16 Alexander Johnston , Ruth E. Baker , Matthew J. Simpson

This paper provides a design-based framework for variance (bound) estimation in experimental analysis. Results are applicable to virtually any combination of experimental design, linear estimator (e.g., difference-in-means, OLS, WLS) and…

Methodology · Statistics 2021-09-21 Joel A. Middleton

To analyze the uncertain data frequently encountered in practice, this paper proposes novel fixed-effects models that incorporate an uncertain measure to investigate variables of interest and nuisance variables in factor designs. First, an…

Methodology · Statistics 2026-03-18 Fan Zhang , Zhiming Li

This article proposes a generalisation of the delete-$d$ jackknife to solve hyperparameter selection problems for time series. I call it artificial delete-$d$ jackknife to stress that this approach substitutes the classic removal step with…

Methodology · Statistics 2025-03-19 Filippo Pellegrino

Many researchers have reached the conclusion that AI models should be trained to be aware of the possibility of variation and disagreement in human judgments, and evaluated as per their ability to recognize such variation. The LEWIDI series…

Standard instrumental variables (IV) methods identify a Local Average Treatment Effect under monotonicity, which rules out defiers. In many empirical environments, however, distinct instruments may induce heterogeneous and even opposing…

Econometrics · Economics 2026-02-16 Johann Caro-Burnett

Longitudinal studies are often subject to missing data. The ICH E9(R1) addendum addresses the importance of defining a treatment effect estimand with the consideration of intercurrent events. Jump-to-reference (J2R) is one classically…

Methodology · Statistics 2023-12-06 Siyi Liu , Shu Yang , Yilong Zhang , Guanghan , Liu

We consider problems of parameter estimation where design variables can be actively optimized to maximize information gain. To this end, we introduce JADAI, a framework that jointly amortizes Bayesian adaptive design and inference by…

Experimentation platforms are essential to modern large technology companies, as they are used to carry out many randomized experiments daily. The classic assumption of no interference among users, under which the outcome of one user does…

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy
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