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Fixed effect estimators of nonlinear panel data models suffer from the incidental parameter problem. This leads to two undesirable consequences in applied research: (1) point estimates are subject to large biases, and (2) confidence…

Econometrics · Economics 2022-04-18 Shuowen Chen

Increasingly, there is a marked interest in estimating causal effects under network interference due to the fact that interference manifests naturally in networked experiments. However, network information generally is available only up to…

Methodology · Statistics 2022-09-02 Wenrui Li , Daniel L. Sussman , Eric D. Kolaczyk

Transported mediation effects may contribute to understanding how and why interventions may work differently when applied to new populations. However, we are not aware of any estimators for such effects. Thus, we propose several different…

Methodology · Statistics 2020-06-16 Kara E Rudolph , Jonathan Levy , Mark J van der Laan

We consider the problem of identifying intermediate variables (or mediators) that regulate the effect of a treatment on a response variable. While there has been significant research on this classical topic, little work has been done when…

Methodology · Statistics 2021-07-29 Abhishek Chakrabortty , Preetam Nandy , Hongzhe Li

Doubly robust estimators of causal effects are a popular means of estimating causal effects. Such estimators combine an estimate of the conditional mean of the outcome given treatment and confounders (the so-called outcome regression) with…

Methodology · Statistics 2019-01-17 David Benkeser , Weixin Cai , Mark J van der Laan

We propose and analyze estimators for statistical functionals of one or more distributions under nonparametric assumptions. Our estimators are based on the theory of influence functions, which appear in the semiparametric statistics…

Inverse probability weighted estimators are the oldest and potentially most commonly used class of procedures for the estimation of causal effects. By adjusting for selection biases via a weighting mechanism, these procedures estimate an…

Methodology · Statistics 2021-07-06 Ashkan Ertefaie , Nima S. Hejazi , Mark J. van der Laan

When conducting inference for the average treatment effect on the treated with a Synthetic Control Estimator, the vector of control weights is a nuisance parameter which is often constrained, high-dimensional, and may be only partially…

Econometrics · Economics 2025-07-03 Joseph Fry

In cluster-randomized trials (CRTs), there is emerging interest in exploring the causal mechanism in which a cluster-level treatment affects the outcome through an intermediate outcome. The majority of existing causal mediation methods are…

Methodology · Statistics 2026-01-12 Chao Cheng , Fan Li

It is often of interest to assess whether a function-valued statistical parameter, such as a density function or a mean regression function, is equal to any function in a class of candidate null parameters. This can be framed as a…

Methodology · Statistics 2023-06-14 Aaron Hudson

Mediation analysis with contemporaneously observed multiple mediators is an important area of causal inference. Recent approaches for multiple mediators are often based on parametric models and thus may suffer from model misspecification.…

Methodology · Statistics 2022-08-30 Samrat Roy , Michael J. Daniels , Brendan J. Kelly , Jason Roy

In causal inference, estimating the average treatment effect is a central objective, and in the context of competing risks data, this effect can be quantified by the cause-specific cumulative incidence function (CIF) difference. While…

Methodology · Statistics 2026-03-27 Yifei Tian , Ying Wu

We often estimate a parameter of interest psi when the identifying conditions involve a nuisance parameter theta. Examples from causal inference are Inverse Probability Weighting, Marginal Structural Models and Structural Nested Models. To…

Statistics Theory · Mathematics 2022-08-30 Judith J. Lok

Despite the frequent use of agent-based models (ABMs) for studying social phenomena, parameter estimation remains a challenge, often relying on costly simulation-based heuristics. This work uses variational inference to estimate the…

Computers and Society · Computer Science 2025-12-04 Jacopo Lenti , Fabrizio Silvestri , Gianmarco De Francisci Morales

Weighting methods are popular tools for estimating causal effects; assessing their robustness under unobserved confounding is important in practice. In the following paper, we introduce a new set of sensitivity models called "variance-based…

Methodology · Statistics 2023-03-14 Melody Huang , Samuel D. Pimentel

Estimating mutual information accurately is pivotal across diverse applications, from machine learning to communications and biology, enabling us to gain insights into the inner mechanisms of complex systems. Yet, dealing with…

Machine Learning · Computer Science 2024-11-12 Nunzio A. Letizia , Nicola Novello , Andrea M. Tonello

We consider the problem of multivariate density estimation when the unknown density is assumed to follow a particular form of dimensionality reduction, a noisy independent factor analysis (IFA) model. In this model the data are generated by…

Applications · Statistics 2009-06-17 Umberto Amato , Anestis Antoniadis , Alexander Samarov , Alexander Tsybakov

Causal mediation analysis aims at disentangling a treatment effect into an indirect mechanism operating through an intermediate outcome or mediator, as well as the direct effect of the treatment on the outcome of interest. However, the…

Econometrics · Economics 2020-05-05 Martin Huber , Lukáš Lafférs

Estimating the causal effect of a treatment or health policy with observational data can be challenging due to an imbalance of and a lack of overlap between treated and control covariate distributions. In the presence of limited overlap,…

Methodology · Statistics 2025-03-24 Martha Barnard , Jared D. Huling , Julian Wolfson

Mediation analysis assesses the extent to which the exposure affects the outcome indirectly through a mediator and the extent to which it operates directly through other pathways. The popular Baron-Kenny approach estimates the indirect and…

Methodology · Statistics 2025-04-08 Mingrui Zhang , Peng Ding