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I provide a model of rational inattention with heterogeneity and prove it is observationally equivalent to a state-dependent stochastic choice model subject to attention costs. I demonstrate that additive separability of unobservable…

Econometrics · Economics 2024-02-16 Martin Bustos

In the high-dimensional sparse modeling literature, it has been crucially assumed that the sparsity structure of the model is homogeneous over the entire population. That is, the identities of important regressors are invariant across the…

Methodology · Statistics 2014-11-20 Sokbae Lee , Yuan Liao , Myung Hwan Seo , Youngki Shin

Barseghyan and Molinari (2023) give sufficient conditions for semi-nonparametric point identification of parameters of interest in a mixture model of decision-making under risk, allowing for unobserved heterogeneity in utility functions and…

Theoretical Economics · Economics 2023-05-19 Matias D. Cattaneo , Xinwei Ma , Yusufcan Masatlioglu

Unobserved heterogeneous treatment effects have been emphasized in the recent policy evaluation literature (see e.g., Heckman and Vytlacil, 2005). This paper proposes a nonparametric test for unobserved heterogeneous treatment effects in a…

Econometrics · Economics 2021-08-17 Yu-Chin Hsu , Ta-Cheng Huang , Haiqing Xu

We analyze demand settings where heterogeneous consumers maximize utility for product attributes subject to a nonlinear budget constraint. We develop nonparametric methods for welfare-analysis of interventions that change the constraint.…

Econometrics · Economics 2024-11-05 Debopam Bhattacharya , Ekaterina Oparina , Qianya Xu

Researchers often have to deal with heterogeneous population with mixed regression relationships, increasingly so in the era of data explosion. In such problems, when there are many candidate predictors, it is not only of interest to…

Methodology · Statistics 2021-02-05 Yan Li , Chun Yu , Yize Zhao , Robert H. Aseltine , Weixin Yao , Kun Chen

Standard Gaussian graphical models (GGMs) implicitly assume that the conditional independence among variables is common to all observations in the sample. However, in practice, observations are usually collected form heterogeneous…

Methodology · Statistics 2010-01-26 Abel Rodriguez , Alex Lenkoski , Adrian Dobra

In many complex applications, data heterogeneity and homogeneity exist simultaneously. Ignoring either one will result in incorrect statistical inference. In addition, coping with complex data that are non-Euclidean becomes more common. To…

Methodology · Statistics 2021-05-28 Zixuan Han , Tao Li , Jinhong You

This paper studies treatment effect models in which individuals are classified into unobserved groups based on heterogeneous treatment rules. Using a finite mixture approach, we propose a marginal treatment effect (MTE) framework in which…

Econometrics · Economics 2022-05-24 Tadao Hoshino , Takahide Yanagi

We investigate the emergence of synchronization in a network of coupled chaotic macroeconomic systems. Each node represents an economy characterized by three key variables savings, gross domestic product (GDP), and foreign capital inflows.…

Adaptation and Self-Organizing Systems · Physics 2026-05-26 Thierry Njougouo , Fernando Fagundes Ferreira , Diego Garlaschelli

In regression tasks, aleatoric uncertainty is commonly addressed by considering a parametric distribution of the output variable, which is based on strong assumptions such as symmetry, unimodality or by supposing a restricted shape. These…

Machine Learning · Computer Science 2019-10-30 Axel Brando , Jose A. Rodríguez-Serrano , Jordi Vitrià , Alberto Rubio

This paper derives identification, estimation, and inference results using spatial differencing in sample selection models with unobserved heterogeneity. We show that under the assumption of smooth changes across space of the unobserved…

Econometrics · Economics 2020-09-15 Alexander Klein , Guy Tchuente

This paper examines a heterogeneous beliefs model in which there is a process that is only partially observed by the agents. The economy contains a risky asset producing dividends continuously in time. The dividends are observed by the…

General Finance · Quantitative Finance 2009-07-29 A. A. Brown

Heterogeneity is a dominant factor in the behaviour of many biological processes. Despite this, it is common for mathematical and statistical analyses to ignore biological heterogeneity as a source of variability in experimental data.…

Many scientific and engineering challenges -- ranging from pharmacokinetic drug dosage allocation and personalized medicine to marketing mix (4Ps) recommendations -- require an understanding of the unobserved heterogeneity in order to…

Methodology · Statistics 2017-08-17 Jelena Bradic , Gerda Claeskens , Thomas Gueuning

Site occupancy models are routinely used to estimate the probability of species presence from either abundance or presence-absence data collected across sites with repeated sampling occasions. In the last two decades, a broad class of…

Methodology · Statistics 2022-04-05 Wen-Han Hwang , Jakub Stoklosa , Lu-Fang Chen

Given an observational study with $n$ independent but heterogeneous units, our goal is to learn the counterfactual distribution for each unit using only one $p$-dimensional sample per unit containing covariates, interventions, and outcomes.…

Machine Learning · Computer Science 2023-09-18 Abhin Shah , Raaz Dwivedi , Devavrat Shah , Gregory W. Wornell

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

An outstanding open problem is whether collective social phenomena occurring over short timescales can systematically reduce cultural heterogeneity in the long run, and whether offline and online human interactions contribute differently to…

Physics and Society · Physics 2012-01-31 Luca Valori , Francesco Picciolo , Agnes Allansdottir , Diego Garlaschelli

This article develops a class of models called Sender/Receiver Finite Mixture Exponential Random Graph Models (SRFM-ERGMs) that enables inference on networks. This class of models extends the existing Exponential Random Graph Modeling…

Methodology · Statistics 2019-09-06 Teague R Henry , Kathleen M Gates , Mitchell J Prinstein , Douglas Steinley