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We propose a general model that jointly characterizes degree heterogeneity and homophily in weighted, undirected networks. We present a moment estimation method using node degrees and homophily statistics. We establish consistency and…

Statistics Theory · Mathematics 2022-07-21 Qiuping Wang , Yuan Zhang , Ting Yan

The analysis of large experimental datasets frequently reveals significant interactions that are difficult to interpret within the theoretical framework guiding the research. Some of these interactions actually arise from the presence of…

Applications · Statistics 2017-09-19 Hannes Matuschek , Reinhold Kliegl

Predictive algorithms inform consequential decisions in settings with selective labels: outcomes are observed only for units selected by past decision makers. This creates an identification problem under unobserved confounding -- when…

Econometrics · Economics 2025-11-07 Ashesh Rambachan , Amanda Coston , Edward Kennedy

Latent feature modeling allows capturing the latent structure responsible for generating the observed properties of a set of objects. It is often used to make predictions either for new values of interest or missing information in the…

Machine Learning · Statistics 2018-03-09 Isabel Valera , Melanie F. Pradier , Maria Lomeli , Zoubin Ghahramani

We provide new results for nonparametric identification, estimation, and inference of causal effects using `proxy controls': observables that are noisy but informative proxies for unobserved confounding factors. Our analysis applies to…

Econometrics · Economics 2023-11-22 Ben Deaner

Temporal dynamics, characterised by time-varying degree heterogeneity and homophily effects, are often exhibited in many real-world networks. As observed in an MIT Social Evolution study, the in-degree and out-degree of the nodes show…

Methodology · Statistics 2025-07-29 Yuguo Chen , Lianqiang Qu , Jinfeng Xu , Ting Yan , Yunpeng Zhou

Finite mixture models are useful in applied econometrics. They can be used to model unobserved heterogeneity, which plays major roles in labor economics, industrial organization and other fields. Mixtures are also convenient in dealing with…

Econometrics · Economics 2018-11-08 Yuichi Kitamura , Louise Laage

I study peer effects that arise from irreversible decisions in the absence of a standard social equilibrium. I model a latent sequence of decisions in continuous time and obtain a closed-form expression for the likelihood, which allows to…

Econometrics · Economics 2026-02-18 Vincent Starck

We propose an agent-based network formation model under uncertainty with the objective of relaxing the common assumption of complete information, calling attention to the role beliefs may play in segregation. We demonstrate that our model…

Social and Information Networks · Computer Science 2021-05-12 D. Kai Zhang , Alexander Carver

We study treatment effect modifiers for causal analysis in a social network, where neighbors' characteristics or network structure may affect the outcome of a unit, and the goal is to identify sub-populations with varying treatment effects…

Social and Information Networks · Computer Science 2021-11-09 Amir Gilad , Harsh Parikh , Sudeepa Roy , Babak Salimi

Estimating network formation models with degree heterogeneity raises two problems in empirical networks. First, agents that send no links, receive no links, or link to all remaining agents can make the fixed-effects MLE fail to exist.…

Econometrics · Economics 2026-05-04 Zizhong Yan , Jingrong Li , Yi Zhang

Homophily, the tendency of individuals who are alike to form ties with one another, is an important concept in the study of social networks. Yet accounting for homophily effects is complicated in the context of bipartite networks where ties…

Social and Information Networks · Computer Science 2023-12-12 Rashmi P. Bomiriya , Alina R. Kuvelkar , David R. Hunter , Steffen Triebel

We explore how violations of the often-overlooked standard assumption that the random effects model matrix in a linear mixed model is fixed (and thus independent of the random effects vector) can lead to bias in estimators of estimable…

Statistics Theory · Mathematics 2020-06-23 Andrew T. Karl , Dale L. Zimmerman

Nonseparable panel models are important in a variety of economic settings, including discrete choice. This paper gives identification and estimation results for nonseparable models under time homogeneity conditions that are like "time is…

Methodology · Statistics 2018-01-08 Victor Chernozhukov , Ivan Fernandez-Val , Jinyong Hahn , Whitney Newey

The problem of estimating event truths from conflicting agent opinions in a social network is investigated. An autoencoder learns the complex relationships between event truths, agent reliabilities and agent observations. A Bayesian network…

Machine Learning · Computer Science 2021-01-26 Jielong Yang , Wee Peng Tay

I establish primitive conditions for unconfoundedness in a coherent model that features heterogeneous treatment effects, spillovers, selection-on-observables, and network formation. I identify average partial effects under minimal…

Econometrics · Economics 2022-09-30 Alejandro Sanchez-Becerra

Many relationships requiring mutual agreement between pairs of actors produce observable networks that are symmetric and undirected. Nevertheless the unobserved, asymmetric network is often of primary scientific interest. We propose a…

Methodology · Statistics 2019-04-03 Arturas Rozenas , Shahryar Minhas , John Ahlquist

Homophily and social influence are the fundamental mechanisms that drive the evolution of attitudes, beliefs and behaviour within social groups. Homophily relates the similarity between pairs of individuals' attitudinal states to their…

Physics and Society · Physics 2015-06-12 Jonathan Ward , Peter Grindrod

In estimating the effects of a treatment/policy with a network, an unit is subject to two types of treatment: one is the direct treatment on the unit itself, and the other is the indirect treatment (i.e., network/spillover influence)…

Methodology · Statistics 2025-06-16 Myoung-jae Lee

We propose a robust method of discrete choice analysis when agents' choice sets are unobserved. Our core model assumes nothing about agents' choice sets apart from their minimum size. Importantly, it leaves unrestricted the dependence,…

Econometrics · Economics 2021-02-11 Levon Barseghyan , Maura Coughlin , Francesca Molinari , Joshua C. Teitelbaum