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Estimating the counterfactual outcome of treatment is essential for decision-making in public health and clinical science, among others. Often, treatments are administered in a sequential, time-varying manner, leading to an exponentially…

Machine Learning · Statistics 2024-07-16 Shenghao Wu , Wenbin Zhou , Minshuo Chen , Shixiang Zhu

This article reviews recent advances in fixed effect estimation of panel data models for long panels, where the number of time periods is relatively large. We focus on semiparametric models with unobserved individual and time effects, where…

Econometrics · Economics 2018-03-29 Iván Fernández-Val , Martin Weidner

This paper studies the identification and estimation of policy effects when treatment status is binary and endogenous. We introduce a new class of marginal treatment effects (MTEs) based on the influence function of the functional…

Econometrics · Economics 2024-08-08 Julian Martinez-Iriarte , Yixiao Sun

This paper introduces the notions of independence and conditional independence in valuation-based systems (VBS). VBS is an axiomatic framework capable of representing many different uncertainty calculi. We define independence and…

Artificial Intelligence · Computer Science 2013-03-25 Prakash P. Shenoy

We propose a framework for determining whether the causal dependence of an outcome $Y$ on a covariate $X$ changes at a given time point, given confounders $\boldsymbol{Z}$. For instance, in financial markets, the effect of a market…

Methodology · Statistics 2026-05-08 Shakeel Gavioli-Akilagun , Kieran Wood , Francesco Quinzan

The goal of this paper is to integrate the notions of stochastic conditional independence and variation conditional independence under a more general notion of extended conditional independence. We show that under appropriate assumptions…

Statistics Theory · Mathematics 2020-04-28 Panayiota Constantinou , A. Philip Dawid

The problem of individualization is recognized as crucial in almost every field. Identifying causes of effects in specific events is likewise essential for accurate decision making. However, such estimates invoke counterfactual…

Methodology · Statistics 2021-05-04 Scott Mueller , Ang Li , Judea Pearl

This article studies the estimation of the causal effect of a time-varying treatment on time-to-an-event or on some other continuously distributed outcome. The paper applies to the situation where treatment is repeatedly adapted to…

Statistics Theory · Mathematics 2008-06-19 Judith J. Lok

In this expository paper, we consider the problem of causal inference and efficient estimation for the counterfactual survivor function. This problem has previously been considered in the literature in several papers, each relying on the…

Methodology · Statistics 2025-10-02 Benjamin R. Baer , Ashkan Ertefaie , Robert L. Strawderman

The widely used 'Counterfactual' definition of Causal Effects was derived for unbiasedness and accuracy - and not generalizability. We propose a Combinatorial definition for the External Validity (EV) of intervention effects. We first…

Methodology · Statistics 2025-04-18 Andre F. Ribeiro

The best empirical research in political science clearly defines substantive parameters of interest, presents a set of assumptions that guarantee its identification, and uses an appropriate estimator. We argue for the importance of…

Methodology · Statistics 2023-02-06 Nathan Canen , Kristopher Ramsay

We introduce a generalization of team semantics which provides a framework for manipulationist theories of causation based on structural equation models, such as Woodward's and Pearl's; our causal teams incorporate (partial or total)…

Logic · Mathematics 2018-05-15 Fausto Barbero , Gabriel Sandu

A key challenge in causal inference from observational studies is the identification and estimation of causal effects in the presence of unmeasured confounding. In this paper, we introduce a novel approach for causal inference that…

Methodology · Statistics 2022-10-17 Ying Zhou , Dingke Tang , Dehan Kong , Linbo Wang

Efficient estimation under bias sampling, censoring or truncation is a difficult question which has been partially answered and the usual estimators are not always consistent. Several biased designs are considered for models with variables…

Statistics Theory · Mathematics 2007-10-22 Odile Pons

Estimating causal effects from observational data requires identifying valid adjustment sets. This task is especially challenging in realistic settings where latent confounding and feedback loops are present. Existing approaches typically…

Machine Learning · Computer Science 2026-05-08 Ana Leticia Garcez Vicente , Gijs van Seeventer , Saber Salehkaleybar

The policy relevant treatment effect (PRTE) measures the average effect of switching from a status-quo policy to a counterfactual policy. Estimation of the PRTE involves estimation of multiple preliminary parameters, including propensity…

Econometrics · Economics 2020-07-17 Yuya Sasaki , Takuya Ura

This paper introduces a simple framework of counterfactual estimation for causal inference with time-series cross-sectional data, in which we estimate the average treatment effect on the treated by directly imputing counterfactual outcomes…

Methodology · Statistics 2022-08-16 Licheng Liu , Ye Wang , Yiqing Xu

In this article we provide a substantial discussion on the statistical concept of conditional independence, which is not routinely mentioned in most elementary statistics and mathematical statistics textbooks. Under the assumption of…

Other Statistics · Statistics 2020-03-10 Jun Hu , Xianggui Qu

We introduce three concepts that describe an agent's incentives: response incentives indicate which variables in the environment, such as sensitive demographic information, affect the decision under the optimal policy. Instrumental control…

Artificial Intelligence · Computer Science 2025-06-24 Ryan Carey , Eric Langlois , Chris van Merwijk , Shane Legg , Tom Everitt

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