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In this paper, I study the nonparametric identification and estimation of the marginal effect of an endogenous variable $X$ on the outcome variable $Y$, given a potentially mismeasured instrument variable $W^*$, without assuming linearity…

Econometrics · Economics 2024-04-23 Shaomin Wu

Causal inference is known to be very challenging when only observational data are available. Randomized experiments are often costly and impractical and in instrumental variable regression the number of instruments has to exceed the number…

Methodology · Statistics 2018-06-19 Dominik Rothenhäusler , Peter Bühlmann , Nicolai Meinshausen

This paper studies the identification of causal effects of a continuous treatment using a new difference-in-difference strategy. Our approach allows for endogeneity of the treatment, and employs repeated cross-sections. It requires an…

Econometrics · Economics 2023-04-18 Xavier D'Haultfoeuille , Stefan Hoderlein , Yuya Sasaki

Instrumental variable methods are often used for parameter estimation in the presence of confounding. They can also be applied in stochastic processes. Instrumental variable analysis exploits moment equations to obtain estimators for causal…

Statistics Theory · Mathematics 2023-02-22 Søren Wengel Mogensen

Instrumental variables regression is a tool that is commonly used in the analysis of observational data. The instrumental variables are used to make causal inference about the effect of a certain exposure in the presence of unmeasured…

Methodology · Statistics 2023-09-07 Valentin Vancak , Arvid Sjölander

Instrumental variables (IVs) are crucial for addressing unobservable confounders, yet their stringent exogeneity assumptions pose significant challenges in networked data. Existing methods typically rely on modelling neighbour information…

Artificial Intelligence · Computer Science 2026-02-10 Zhirong Huang , Debo Cheng , Guixian Zhang , Yi Wang , Jiuyong Li , Shichao Zhang

This paper develops a novel nonparametric identification method for treatment effects in settings where individuals self-select into treatment sequences. I propose an identification strategy which relies on a dynamic version of standard…

Econometrics · Economics 2023-12-05 Pedro Picchetti

Obtaining valid treatment effect inference remains a challenging problem when dealing with numerous instruments and non-sparse control variables. In this paper, we propose a novel ridge regularization-based instrumental variables method for…

Econometrics · Economics 2025-10-17 Xiduo Chen , Xingdong Feng , Antonio F. Galvao , Yeheng Ge

The inference of causal relationships using observational data from partially observed multivariate systems with hidden variables is a fundamental question in many scientific domains. Methods extracting causal information from conditional…

Machine Learning · Statistics 2020-10-13 Daniel Chicharro , Michel Besserve , Stefano Panzeri

Marginal models involve restrictions on the conditional and marginal association structure of a set of categorical variables. They generalize log-linear models for contingency tables, which are the fundamental tools for modelling the…

Methodology · Statistics 2023-04-10 Tamas Rudas , Wicher Bergsma

We provide a new flexible framework for inference with the instrumental variable model. Rather than using linear specifications, functions characterizing the effects of instruments and other explanatory variables are estimated using machine…

Machine Learning · Statistics 2021-02-03 Robert E. McCulloch , Rodney A. Sparapani , Brent R. Logan , Purushottam W. Laud

Learning a causal effect from observational data is not straightforward, as this is not possible without further assumptions. If hidden common causes between treatment $X$ and outcome $Y$ cannot be blocked by other measurements, one…

Machine Learning · Statistics 2015-11-10 Ricardo Silva , Shohei Shimizu

Case-control designs are an important tool in contrasting the effects of well-defined treatments. In this paper, we reconsider classical concepts, assumptions and principles and explore when the results of case-control studies can be…

Methodology · Statistics 2021-05-06 Bas B. L. Penning de Vries , Rolf H. H. Groenwold

Instrumental variables allow for quantification of cause and effect relationships even in the absence of interventions. To achieve this, a number of causal assumptions must be met, the most important of which is the independence assumption,…

Machine Learning · Statistics 2021-11-05 Nikolai Miklin , Mariami Gachechiladze , George Moreno , Rafael Chaves

The processes of the averaged regression quantiles and of their modifications provide useful tools in the regression models when the covariates are not fully under our control. As an application we mention the probabilistic risk assessment…

Statistics Theory · Mathematics 2017-10-19 Jana Jurečková , Martin Schindler , Jan Picek

Causal inference is the process of using assumptions, study designs, and estimation strategies to draw conclusions about the causal relationships between variables based on data. This allows researchers to better understand the underlying…

Machine Learning · Computer Science 2022-12-13 Anpeng Wu , Kun Kuang , Ruoxuan Xiong , Fei Wu

Entropy is a measure of heterogeneity widely used in applied sciences, often when data are collected over space. Recently, a number of approaches has been proposed to include spatial information in entropy. The aim of entropy is to…

Statistics Theory · Mathematics 2019-11-12 Linda Altieri , Daniela Cocchi , Giulia Roli

Physiological signals can potentially be applied as objective measures to understand the behavior and engagement of users interacting with information access systems. However, the signals are highly sensitive, and many controls are required…

Information Retrieval · Computer Science 2023-04-27 Kaixin Ji , Damiano Spina , Danula Hettiachchi , Flora Dilys Salim , Falk Scholer

Instrumental variables (IV) regression is widely used to estimate causal treatment effects in settings where receipt of treatment is not fully random, but there exists an instrument that generates exogenous variation in treatment exposure.…

Econometrics · Economics 2021-08-10 Stephen Coussens , Jann Spiess

This note discusses two recent studies on identification of individualized treatment rules using instrumental variables---Cui and Tchetgen Tchetgen (2020) and Qiu et al. (2020). It also proposes identifying assumptions that are alternative…

Econometrics · Economics 2020-10-16 Sukjin , Han