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Detecting and locating changes in highly multivariate data is a major concern in several current statistical applications. In this context, the first contribution of the paper is a novel non-parametric two-sample homogeneity test for…

Statistics Theory · Mathematics 2012-02-13 Alexandre Lung-Yut-Fong , Céline Lévy-Leduc , Olivier Cappé

In dynamic discrete choice (DDC) analysis, it is common to use mixture models to control for unobserved heterogeneity. However, consistent estimation typically requires both restrictions on the support of unobserved heterogeneity and a…

Econometrics · Economics 2025-09-30 Jackson Bunting

Clustering methods such as k-means have found widespread use in a variety of applications. This paper proposes a formal testing procedure to determine whether a null hypothesis of a single cluster, indicating homogeneity of the data, can be…

Econometrics · Economics 2019-07-18 Andrew J. Patton , Brian M. Weller

Linear mixed effects models (LMMs) are a popular and powerful tool for analyzing clustered or repeated observations for numeric outcomes. LMMs consist of a fixed and a random component, specified in the model through their respective design…

Statistics Theory · Mathematics 2019-12-10 Rok Blagus , Jakob Peterlin , Nataša Kejžar

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

Researchers are increasingly turning to machine learning (ML) algorithms to investigate causal heterogeneity in randomized experiments. Despite their promise, ML algorithms may fail to accurately ascertain heterogeneous treatment effects…

Methodology · Statistics 2024-04-23 Kosuke Imai , Michael Lingzhi Li

There is strong interest in estimating how the magnitude of treatment effects of an intervention vary across sub-groups of the population of interest. In our paper, we propose a two-study approach to first propose and then test…

Methodology · Statistics 2020-06-23 Rahul Ladhania , Amelia Haviland , Neeraj Sood , Edward Kennedy , Ateev Mehrotra

Unobserved heterogeneous treatment effects have been emphasized in recent policy evaluation literature. In this paper, we extend Lu and White (2014)'s testing method for unobserved heterogeneous treatment effects by developing nonparametric…

Methodology · Statistics 2016-11-22 YuChin Hsu , TaCheng Huang , Haiqing Xu

Testing the homogeneity between two samples of functional data is an important task. While this is feasible for intensely measured functional data, we explain why it is challenging for sparsely measured functional data and show what can be…

Methodology · Statistics 2022-07-05 Changbo Zhu , Jane-Ling Wang

Confounding can lead to spurious associations. Typically, one must observe confounders in order to adjust for them, but in high-dimensional settings, recent research has shown that it becomes possible to adjust even for unobserved…

Methodology · Statistics 2025-10-07 Yujing Lu , Patrick Breheny

A recent literature in econometrics models unobserved cross-sectional heterogeneity in panel data by assigning each cross-sectional unit a one-dimensional, discrete latent type. Such models have been shown to allow estimation and inference…

Econometrics · Economics 2020-01-31 Max Cytrynbaum

Various methods have recently been proposed to estimate causal effects with confidence intervals that are uniformly valid over a set of data generating processes when high-dimensional nuisance models are estimated by post-model-selection or…

Methodology · Statistics 2025-10-07 Niloofar Moosavi , Tetiana Gorbach , Xavier de Luna

We study the identification and estimation of structural parameters in dynamic panel data logit models where decisions are forward-looking and the joint distribution of unobserved heterogeneity and observable state variables is…

Econometrics · Economics 2018-05-11 Victor Aguirregabiria , Jiaying Gu , Yao Luo

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

Mixtures of linear mixed models are widely used for modelling longitudinal data for which observation times differ between subjects. In typical applications, temporal trends are described using a basis expansion, with basis coefficients…

Methodology · Statistics 2025-11-25 Lucas Kock , Nadja Klein , David J. Nott

Practitioners in medicine, business, political science, and other fields are increasingly aware that decisions should be personalized to each patient, customer, or voter. A given treatment (e.g. a drug or advertisement) should be…

Machine Learning · Statistics 2018-06-15 Alejandro Schuler , Michael Baiocchi , Robert Tibshirani , Nigam Shah

In this paper, we investigate binary response models for heterogeneous panel data with interactive fixed effects by allowing both the cross-sectional dimension and the temporal dimension to diverge. From a practical point of view, the…

Econometrics · Economics 2021-11-18 Jiti Gao , Fei Liu , Bin Peng , Yayi Yan

When we use the normal mixture model, the optimal number of the components describing the data should be determined. Testing homogeneity is good for this purpose; however, to construct its theory is challenging, since the test statistic…

Statistics Theory · Mathematics 2019-12-24 Natsuki Kariya , Sumio Watanabe

The classic integrated conditional moment test is a promising method for testing regression model misspecification. However, it severely suffers from the curse of dimensionality. To extend it to handle the testing problem for parametric…

Statistics Theory · Mathematics 2020-05-26 Falong Tan , Lixing Zhu

Many commonly used test statistics are based on a norm measuring the evidence against the null hypothesis. To understand how the choice of a norm affects power properties of tests in high dimensions, we study the consistency sets of…

Statistics Theory · Mathematics 2022-02-01 Anders Bredahl Kock , David Preinerstorfer