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The paper deals with partial and weak preference relations defined on infinite-dimensional vector spaces and compatible with algebraic operations. By a partial preference we mean an asymmetric and transitive binary relation, while a weak…

Optimization and Control · Mathematics 2024-01-17 V. V. Gorokhovik

The paper introduces a generalization for known probabilistic models such as log-linear and graphical models, called here multiplicative models. These models, that express probabilities via product of parameters are shown to capture…

Artificial Intelligence · Computer Science 2012-06-18 Ydo Wexler , Christopher Meek

Applied Difference-in-Differences studies often involve outcomes that are discrete, mixed, censored, or otherwise non-continuously distributed, while policy questions frequently concern distributional effects rather than mean effects alone.…

Econometrics · Economics 2026-05-22 Nelly K. Djuazon , Emmanuel Selorm Tsyawo

Covariate-specific treatment effects (CSTEs) represent heterogeneous treatment effects across subpopulations defined by certain selected covariates. In this article, we consider marginal structural models where CSTEs are linearly…

Methodology · Statistics 2021-05-25 Peng Wu , Zhiqiang Tan , Wenjie Hu , Xiao-Hua Zhou

This Element offers a practical guide to estimating conditional marginal effects-how treatment effects vary with a moderating variable-using modern statistical methods. Commonly used approaches, such as linear interaction models, often…

Methodology · Statistics 2026-05-21 Jiehan Liu , Ziyi Liu , Yiqing Xu

When making causal inferences, post-treatment confounders complicate analyses of time-varying treatment effects. Conditioning on these variables naively to estimate marginal effects may inappropriately block causal pathways and may induce…

Applications · Statistics 2019-04-02 Xiang Zhou , Geoffrey T. Wodtke

In situations with non-manipulable exposures, interventions can be targeted to shift the distribution of intermediate variables between exposure groups to define interventional disparity indirect effects. In this work, we present a…

Methodology · Statistics 2023-05-18 Helene C. W. Rytgaard , Amalie Lykkemark Møller , Thomas A. Gerds

One of the most important empirical findings in microeconometrics is the pervasiveness of heterogeneity in economic behaviour (cf. Heckman 2001). This paper shows that cumulative distribution functions and quantiles of the nonparametric…

Econometrics · Economics 2020-05-19 Juan Carlos Escanciano

Nonlinearity and endogeneity are prevalent challenges in causal analysis using observational data. This paper proposes an inference procedure for a nonlinear and endogenous marginal effect function, defined as the derivative of the…

Econometrics · Economics 2024-06-19 Qingliang Fan , Zijian Guo , Ziwei Mei , Cun-Hui Zhang

Given data on the choices made by consumers for different offer sets, a key challenge is to develop parsimonious models that describe and predict consumer choice behavior while being amenable to prescriptive tasks such as pricing and…

Machine Learning · Statistics 2025-04-15 Yanqiu Ruan , Xiaobo Li , Karthyek Murthy , Karthik Natarajan

In settings where units' outcomes are affected by others' treatments, there has been a proliferation of ways to quantify effects of treatments on outcomes, including via indirect exposure to other units' treatments. Here we consider two…

Methodology · Statistics 2026-03-10 Sahil Loomba , Dean Eckles

The distribution of treatment effects (DTE) is often of interest in the context of welfare policy evaluation. In this paper, I consider partial identification of the DTE under known marginal distributions and support restrictions on the…

Methodology · Statistics 2014-10-23 Ju Hyun Kim

This paper explores the identification and estimation of nonseparable panel data models. We show that the structural function is nonparametrically identified when it is strictly increasing in a scalar unobservable variable, the conditional…

Methodology · Statistics 2018-11-09 Takuya Ishihara

This note provides additional interpretation for the counterfactual outcome distribution and corresponding unconditional quantile "effects" defined and estimated by Firpo, Fortin, and Lemieux (2009) and Chernozhukov, Fern\'andez-Val, and…

Econometrics · Economics 2021-10-07 David M. Kaplan

Many real-world systems can be usefully represented as sets of interacting components. Examples include computational systems, such as query processors and compilers, natural systems, such as cells and ecosystems, and social systems, such…

Artificial Intelligence · Computer Science 2025-03-18 Purva Pruthi , David Jensen

Researchers are often interested in treatment effects on outcomes that are only defined conditional on a post-treatment event status. For example, in a study of the effect of different cancer treatments on quality of life at end of…

Off-policy evaluation (OPE) is crucial for assessing a target policy's impact offline before its deployment. However, achieving accurate OPE in large state spaces remains challenging. This paper studies state abstractions -- originally…

Machine Learning · Statistics 2025-03-05 Meiling Hao , Pingfan Su , Liyuan Hu , Zoltan Szabo , Qingyuan Zhao , Chengchun Shi

When an exposure of interest is confounded by unmeasured factors, an instrumental variable (IV) can be used to identify and estimate certain causal contrasts. Identification of the marginal average treatment effect (ATE) from IVs relies on…

Methodology · Statistics 2023-10-02 Alexander W. Levis , Matteo Bonvini , Zhenghao Zeng , Luke Keele , Edward H. Kennedy

Survey questions often ask respondents to select from ordered scales where the meanings of the categories are subjective, leaving each individual free to apply their own definitions in answering. This paper studies the use of these…

Econometrics · Economics 2025-01-29 Leonard Goff

Modeling policies for sequential clinical decision-making based on observational data is useful for describing treatment practices, standardizing frequent patterns in treatment, and evaluating alternative policies. For each task, it is…

Machine Learning · Computer Science 2024-12-12 Anton Matsson , Lena Stempfle , Yaochen Rao , Zachary R. Margolin , Heather J. Litman , Fredrik D. Johansson