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We study identification in a binary choice panel data model with a single \emph{predetermined} binary covariate (i.e., a covariate sequentially exogenous conditional on lagged outcomes and covariates). The choice model is indexed by a…

Econometrics · Economics 2023-07-25 Stéphane Bonhomme , Kevin Dano , Bryan S. Graham

We study estimation of factor models in a fixed-T panel data setting and significantly relax the common correlated effects (CCE) assumptions pioneered by Pesaran (2006) and used in dozens of papers since. In the simplest case, we model the…

Econometrics · Economics 2021-12-03 Nicholas L. Brown , Peter Schmidt , Jeffrey M. Wooldridge

This paper studies identification and estimation of average causal effects, such as average marginal or treatment effects, in fixed effects logit models with short panels. Relating the identified set of these effects to an extremal moment…

Econometrics · Economics 2024-12-20 Laurent Davezies , Xavier D'Haultfœuille , Louise Laage

This paper considers the identification of treatment effects on conditional transition probabilities. We show that even under random assignment only the instantaneous average treatment effect is point identified. Since treated and control…

Econometrics · Economics 2017-09-27 Johan Vikström , Geert Ridder , Martin Weidner

This paper concerns about the limiting distributions of change point estimators, in a high-dimensional linear regression time series context, where a regression object $(y_t, X_t) \in \mathbb{R} \times \mathbb{R}^p$ is observed at every…

Statistics Theory · Mathematics 2023-10-03 Haotian Xu , Daren Wang , Zifeng Zhao , Yi Yu

In traditional logistic regression models, the link function is often assumed to be linear and continuous in predictors. Here, we consider a threshold model that all continuous features are discretized into ordinal levels, which further…

Methodology · Statistics 2022-02-18 Yinan Lin , Wen Zhou , Zhi Geng , Gexin Xiao , Jianxin Yin

Recent years have seen a resurgence in interest in marketing mix models (MMMs), which are aggregate-level models of marketing effectiveness. Often these models incorporate nonlinear effects, and either implicitly or explicitly assume that…

Econometrics · Economics 2024-08-15 Ryan Dew , Nicolas Padilla , Anya Shchetkina

Shape restrictions have played a central role in economics as both testable implications of theory and sufficient conditions for obtaining informative counterfactual predictions. In this paper we provide a general procedure for inference…

Statistics Theory · Mathematics 2022-04-29 Victor Chernozhukov , Whitney K. Newey , Andres Santos

The coefficient of determination is well defined for linear models and its extension is long wanted for mixed-effects models. We revisit its extension to define measures for proportions of variation explained by the whole model, fixed…

Methodology · Statistics 2022-05-04 Dabao Zhang

Linear mixed models are widely used to analyze non-independent data, but inference for fixed effects can be unreliable under misspecification of the random-effects distribution, inaccurate Fisher information estimation, or convergence…

Methodology · Statistics 2026-05-01 Angela Andreella , Livio Finos

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

This paper studies point identification of the distribution of the coefficients in some random coefficients models with exogenous regressors when their support is a proper subset, possibly discrete but countable. We exhibit trade-offs…

Statistics Theory · Mathematics 2021-05-26 Christophe Gaillac , Eric Gautier

Quantile regression is a powerful tool for detecting exposure-outcome associations given covariates across different parts of the outcome's distribution, but has two major limitations when the aim is to infer the effect of an exposure.…

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

Approximating time-varying unobserved heterogeneity by discrete types has become increasingly popular in economics. Yet, provably valid post-clustering inference for target parameters in models that do not impose an exact group structure is…

Econometrics · Economics 2025-10-20 Jad Beyhum , Martin Mugnier

Mixed-effect models are very popular for analyzing data with a hierarchical structure, e.g. repeated observations within subjects in a longitudinal design, patients nested within centers in a multicenter design. However, recently, due to…

Methodology · Statistics 2019-05-09 Abhik Ghosh , Magne Thoresen

Recently, applied sciences, including longitudinal and clustered studies in biomedicine require the analysis of ultra-high dimensional linear mixed effects models where we need to select important fixed effect variables from a vast pool of…

Methodology · Statistics 2020-05-01 Abhik Ghosh , Magne Thoresen

According to Davey et al. (2011) with a total of 22,453 meta-analyses from the January 2008 Issue of the Cochrane Database of Systematic Reviews, the median number of studies included in each meta-analysis is only three. In other words,…

Methodology · Statistics 2020-02-12 Enxuan Lin , Tiejun Tong , Yong Chen , Yuedong Wang

Traditionally, spline or kernel approaches in combination with parametric estimation are used to infer the linear coefficient (fixed effects) in a partially linear mixed-effects model for repeated measurements. Using machine learning…

Methodology · Statistics 2023-04-03 Corinne Emmenegger , Peter Bühlmann

I study partial identification of distributional parameters in triangular systems. This model consists of a nonparametric outcome equation and a selection equation. This allows for general unobserved heterogeneity and selection on…

Methodology · Statistics 2014-11-11 Ju Hyun Kim