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In this work we propose a novel approach for modeling spatio-temporal data characterized by group structures. In particular, we extend classical mixed effect regression models by introducing a space-time nonparametric component, regularized…

Methodology · Statistics 2025-11-18 Marco F. De Sanctis , Eleonora Arnone , Francesca Ieva , Laura M. Sangalli

We propose a combined model, which integrates the latent factor model and the logistic regression model, for the citation network. It is noticed that neither a latent factor model nor a logistic regression model alone is sufficient to…

Machine Learning · Statistics 2019-12-03 Namjoon Suh , Xiaoming Huo , Eric Heim , Lee Seversky

This paper studies a panel data setting where the goal is to estimate causal effects of an intervention by predicting the counterfactual values of outcomes for treated units, had they not received the treatment. Several approaches have been…

Econometrics · Economics 2019-03-26 Susan Athey , Mohsen Bayati , Guido Imbens , Zhaonan Qu

This paper investigates the identification of quantiles and quantile regression parameters when observations are set valued. We define the identification set of quantiles of random sets in a way that extends the definition of quantiles for…

Methodology · Statistics 2020-04-10 Arie Beresteanu , Yuya Sasaki

We study a panel data model with general heterogeneous effects where slopes are allowed to vary across both individuals and over time. The key dimension reduction assumption we employ is that the heterogeneous slopes can be expressed as…

Statistics Theory · Mathematics 2019-09-05 Victor Chernozhukov , Christian Hansen , Yuan Liao , Yinchu Zhu

$\ell_1$-penalized quantile regression is widely used for analyzing high-dimensional data with heterogeneity. It is now recognized that the $\ell_1$-penalty introduces non-negligible estimation bias, while a proper use of concave…

Methodology · Statistics 2021-09-14 Kean Ming Tan , Lan Wang , Wen-Xin Zhou

We consider a correlated random coefficient panel data model with two-way fixed effects and interactive fixed effects in a fixed T framework. We propose a two-way mean group (TW-MG) estimator for the expected value of the slope coefficient…

Econometrics · Economics 2025-08-15 Xun Lu , Liangjun Su

Heterogeneity is a hallmark of complex diseases. Regression-based heterogeneity analysis, which is directly concerned with outcome-feature relationships, has led to a deeper understanding of disease biology. Such an analysis identifies the…

Methodology · Statistics 2022-11-29 Ziye Luo , Xinyue Yao , Yifan Sun , Xinyan Fan

We consider a heteroscedastic regression model in which some of the regression coefficients are zero but it is not known which ones. Penalized quantile regression is a useful approach for analyzing such data. By allowing different…

Methodology · Statistics 2018-07-23 Lan Wang , Ingrid Van Keilegrom , Adam Maidman

We study the identification of heterogeneous, intertemporal treatment effects (TE) when potential outcomes depend on past treatments. First, applying a dynamic panel data model to observed outcomes, we show that an instrumental variable…

Econometrics · Economics 2025-09-09 Philip Marx , Elie Tamer , Xun Tang

Kernel-based nonparametric hazard rate estimation is considered with a special class of infinite-order kernels that achieves favorable bias and mean square error properties. A fully automatic and adaptive implementation of a density and…

Statistics Theory · Mathematics 2018-10-17 Arthur Berg , Dimitris N Politis , Kagba Suaray , Hui Zeng

This paper revisits the identification and estimation of a class of semiparametric (distribution-free) panel data binary choice models with lagged dependent variables, exogenous covariates, and entity fixed effects. We provide a novel…

Econometrics · Economics 2024-08-26 Christopher R. Dobronyi , Fu Ouyang , Thomas Tao Yang

Quantile regression is a powerful tool for inferring how covariates affect specific percentiles of the response distribution. Existing methods either estimate conditional quantiles separately for each quantile of interest or estimate the…

Methodology · Statistics 2024-11-19 Joseph Feldman , Daniel Kowal

Latent class analysis (LCA) is a useful tool to investigate the heterogeneity of a disease population with time-to-event data. We propose a new method based on non-parametric maximum likelihood estimator (NPMLE), which facilitates…

Methodology · Statistics 2022-02-03 Teng Fei , John Hanfelt , Limin Peng

This paper addresses the critical challenge of stochastic latent heterogeneity in online decision-making, where individuals' responses to actions vary not only with observable contexts but also with unobserved, randomly realized subgroups.…

Machine Learning · Computer Science 2025-11-17 Elynn Chen , Xi Chen , Wenbo Jing , Xiao Liu

Estimating heterogeneous treatment effects is an important problem across many domains. In order to accurately estimate such treatment effects, one typically relies on data from observational studies or randomized experiments. Currently,…

Machine Learning · Statistics 2022-02-28 Tobias Hatt , Jeroen Berrevoets , Alicia Curth , Stefan Feuerriegel , Mihaela van der Schaar

We consider identification, inference and validation of linear panel data models when both factors and factor loadings are accounted for by a nonparametric function. This general specification encompasses rather popular models such as the…

Econometrics · Economics 2025-06-13 Juan M. Rodriguez-Poo , Alexandra Soberon , Stefan Sperlich

Over the last fifty years, the United States have experienced hundreds of mass public shootings that resulted in thousands of victims. Characterized by their frequent occurrence and devastating nature, mass shootings have become a major…

Applications · Statistics 2025-01-22 Luca Merlo , Marco Geraci , Lea Petrella

Empirical economists are often deterred from the application of fixed effects binary choice models mainly for two reasons: the incidental parameter problem and the computational challenge even in moderately large panels. Using the example…

Econometrics · Economics 2020-10-27 Daniel Czarnowske , Amrei Stammann

In this paper, we conduct a simulation study with subject-level data to evaluate conventional meta-regression approaches (study-level random, fixed, and mixed effects) against seven methodology specifications new to meta-regressions that…

Econometrics · Economics 2025-07-18 Ali Habibnia , Jonathan Gendron