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We study a ridge estimator for the high-dimensional two-way fixed effect regression model with a sparse bipartite network. We develop concentration inequalities showing that when the ridge parameters increase as the log of the network size,…

Econometrics · Economics 2026-01-08 Junnan He , Jean-Marc Robin

Linear regression on network-linked observations has been an essential tool in modeling the relationship between response and covariates with additional network structures. Previous methods either lack inference tools or rely on restrictive…

Methodology · Statistics 2022-08-22 Can M. Le , Tianxi Li

In causal inference, interference occurs when the treatment of one unit may affect the outcomes of other units. The goal of this work is to serve as a guide to the use of linear outcome modeling for estimating causal effects in settings…

Methodology · Statistics 2026-04-01 Eric Tong , Salvador V. Balkus

We propose a new estimator for average causal effects of a binary treatment with panel data in settings with general treatment patterns. Our approach augments the popular two-way-fixed-effects specification with unit-specific weights that…

Econometrics · Economics 2024-03-06 Dmitry Arkhangelsky , Guido W. Imbens , Lihua Lei , Xiaoman Luo

We study linear panel regression models in which the unobserved error term is an unknown smooth function of two-way unobserved fixed effects. In standard additive or interactive fixed effect models the individual specific and time specific…

Econometrics · Economics 2022-08-15 Hugo Freeman , Martin Weidner

Network-linked data, where multivariate observations are interconnected by a network, are becoming increasingly prevalent in fields such as sociology and biology. These data often exhibit inherent noise and complex relational structures,…

Methodology · Statistics 2025-09-11 Jianxiang Wang , Can M. Le , Tianxi Li

We develop a general estimation and inference procedure for the common parameters in linear panel data regression models with nonparametric two-way specification of unobserved heterogeneity. The procedure takes as input any first-step…

Econometrics · Economics 2026-05-08 Hugo Freeman , Dennis Kristensen

Economists often rely on estimates of linear fixed effects models produced by other teams of researchers. Assessing the uncertainty in these estimates can be challenging. I propose a form of sample splitting for networks that partitions the…

Econometrics · Economics 2025-12-29 Patrick Kline

This paper studies the estimation of linear panel data models with interactive fixed effects, where one dimension of the panel, typically time, may be fixed. To this end, a novel transformation is introduced that reduces the model to a…

Econometrics · Economics 2021-10-13 Ayden Higgins

We present a brief overview of the methods for making statistical inference (testing statistical hypotheses, construction of confidence and/or prediction intervals and regions) about linear functions of the fixed effects and/or about the…

Computation · Statistics 2013-01-07 Viktor Witkovský

We address the challenge of inferring causal effects in social network data. This results in challenges due to interference -- where a unit's outcome is affected by neighbors' treatments -- and network-induced confounding factors. While…

Machine Learning · Computer Science 2026-02-20 Seyedeh Baharan Khatami , Harsh Parikh , Haowei Chen , Sudeepa Roy , Babak Salimi

This paper focuses on modeling the dynamic attributes of a dynamic network with a fixed number of vertices. These attributes are considered as time series which dependency structure is influenced by the underlying network. They are modeled…

Methodology · Statistics 2019-11-11 Jonas Krampe

The analysis of spatial point patterns that occur in the network domain have recently gained much attraction and various intensity functions and measures have been proposed. However, the linkage of spatial network statistics to regression…

Applications · Statistics 2016-07-25 Matthias Eckardt , Jorge Mateu

Linear regressions with period and group fixed effects are widely used to estimate policies' effects: 26 of the 100 most cited papers published by the American Economic Review from 2015 to 2019 estimate such regressions. It has recently…

Econometrics · Economics 2022-06-22 Clément de Chaisemartin , Xavier D'Haultfœuille

In this paper, we propose a Network-Weighted Functional Regression (NWFR) model, an extension of Spatially Weighted Functional Regression (SWFR) to functional data defined on network-structured settings. To asses predictive uncertainity, we…

Methodology · Statistics 2025-06-02 Elvira Romano , Antonio Irpino , Claire Miller

This paper studies a linear model for multidimensional panel data of three or more dimensions with unobserved interactive fixed-effects. The main estimator uses a Neyman-orthogonal approach, and requires two preliminary steps. First, the…

Econometrics · Economics 2026-03-06 Hugo Freeman

The centrality in a network is often used to measure nodes' importance and model network effects on a certain outcome. Empirical studies widely adopt a two-stage procedure, which first estimates the centrality from the observed noisy…

Econometrics · Economics 2025-02-26 Junhui Cai , Dan Yang , Ran Chen , Wu Zhu , Haipeng Shen , Linda Zhao

Network experiments are powerful tools for studying spillover effects, which avoid endogeneity by randomly assigning treatments to units over networks. However, it is non-trivial to analyze network experiments properly without imposing…

Econometrics · Economics 2025-06-09 Mengsi Gao , Peng Ding

Inference for fixed effects estimators is often unreliable due to Nickell- and incidental parameter biases. While these issues are well understood for classical two-dimensional panels, little is known about three-dimensional panel…

Econometrics · Economics 2026-05-05 Daniel Czarnowske , Amrei Stammann

The use of the two-way fixed effects regression in empirical social science was historically motivated by folk wisdom that it uncovers the Average Treatment effect on the Treated (ATT) as in the canonical two-period two-group case. This…

Econometrics · Economics 2025-03-10 Apoorva Lal
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