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The paper establishes the central limit theorems and proposes how to perform valid inference in factor models. We consider a setting where many counties/regions/assets are observed for many time periods, and when estimation of a global…

Econometrics · Economics 2023-06-22 Stanislav Anatolyev , Anna Mikusheva

Panels with large time $(T)$ and cross-sectional $(N)$ dimensions are a key data structure in social sciences and other fields. A central question in panel data analysis is whether to pool data across individuals or to estimate separate…

Methodology · Statistics 2025-12-18 Tim Kutta , Martin Schumann , Holger Dette

In this paper I develop a wild bootstrap procedure for cluster-robust inference in linear quantile regression models. I show that the bootstrap leads to asymptotically valid inference on the entire quantile regression process in a setting…

Statistics Theory · Mathematics 2015-07-15 Andreas Hagemann

This paper develops bootstrap procedures for inference in linear regression models with two-way clustered data. We characterize the estimator's asymptotic behavior in five mutually exclusive and exhaustive regimes: three Gaussian and two…

Statistics Theory · Mathematics 2026-05-04 Ulrich Hounyo , Jiahao Lin

Panel data of our interest consist of a moderate or relatively large number of panels, while the panels contain a small number of observations. This paper establishes testing procedures to detect a possible common change in means of the…

Statistics Theory · Mathematics 2016-08-07 Barbora Peštová , Michal Pešta

This article studies bootstrap inference for high dimensional weakly dependent time series in a general framework of approximately linear statistics. The following high dimensional applications are covered: (1) uniform confidence band for…

Statistics Theory · Mathematics 2014-08-12 Xianyang Zhang , Guang Cheng

This paper studies how to construct confidence regions for principal component analysis (PCA) in high dimension, a problem that has been vastly under-explored. While computing measures of uncertainty for nonlinear/nonconvex estimators is in…

Statistics Theory · Mathematics 2025-03-18 Yuling Yan , Yuxin Chen , Jianqing Fan

We propose a pointwise inference algorithm for high-dimensional linear models with time-varying coefficients. The method is based on a novel combination of the nonparametric kernel smoothing technique and a Lasso bias-corrected ridge…

Methodology · Statistics 2017-03-17 Xiaohui Chen , Yifeng He

We develop and implement a novel fast bootstrap for dependent data. Our scheme is based on the i.i.d. resampling of the smoothed moment indicators. We characterize the class of parametric and semi-parametric estimation problems for which…

Methodology · Statistics 2022-01-19 Davide La Vecchia , Alban Moor , Olivier Scaillet

This paper considers fixed effects estimation and inference in linear and nonlinear panel data models with random coefficients and endogenous regressors. The quantities of interest -- means, variances, and other moments of the random…

Methodology · Statistics 2018-01-16 Ivan Fernandez-Val , Joonhwah Lee

The maximum-likelihood estimator of nonlinear panel data models with fixed effects is consistent but asymptotically-biased under rectangular-array asymptotics. The literature has thus far concentrated its effort on devising methods to…

Econometrics · Economics 2022-01-28 Ayden Higgins , Koen Jochmans

Estimating causal effects from large experimental and observational data has become increasingly prevalent in both industry and research. The bootstrap is an intuitive and powerful technique used to construct standard errors and confidence…

Methodology · Statistics 2023-02-07 Matthew Kosko , Lin Wang , Michele Santacatterina

Inference in linear panel data models is complicated by the presence of fixed effects when (some of) the regressors are not strictly exogenous. Under asymptotics where the number of cross-sectional observations and time periods grow at the…

Econometrics · Economics 2025-02-13 Ayden Higgins , Koen Jochmans

In many applied fields incomplete covariate vectors are commonly encountered. It is well known that this can be problematic when making inference on model parameters, but its impact on prediction performance is less understood. We develop a…

Methodology · Statistics 2020-07-14 Garritt L. Page , Fernando A. Quintana , Peter Müller

Incomplete covariate vectors are known to be problematic for estimation and inferences on model parameters, but their impact on prediction performance is less understood. We develop an imputation-free method that builds on a random…

Methodology · Statistics 2024-05-31 Matthew J. Heiner , Garritt L. Page , Fernando Andrés Quintana

Bootstrap inference is a powerful tool for obtaining robust inference for quantiles and difference-in-quantiles estimators. The computationally intensive nature of bootstrap inference has made it infeasible in large-scale experiments. In…

Methodology · Statistics 2022-03-10 Mårten Schultzberg , Sebastian Ankargren

The presence of unobserved confounders is one of the main challenges in identifying treatment effects. In this paper, we propose a new approach to causal inference using panel data with large large $N$ and $T$. Our approach imputes the…

Econometrics · Economics 2025-03-28 Ben Deaner , Chen-Wei Hsiang , Andrei Zeleneev

This paper introduces a new fixed effects estimator for linear panel data models with clustered time patterns of unobserved heterogeneity. The method avoids non-convex and combinatorial optimization by combining a preliminary consistent…

Econometrics · Economics 2025-04-21 Martin Mugnier

Clustered standard errors and approximate randomization tests are popular inference methods that allow for dependence within observations. However, they require researchers to know the cluster structure ex ante. We propose a procedure to…

Econometrics · Economics 2022-01-14 Yong Cai

Feature importance inference is critical for the interpretability and reliability of machine learning models. There has been increasing interest in developing model-agnostic approaches to interpret any predictive model, often in the form of…

Machine Learning · Statistics 2026-03-24 Luqin Gan , Lili Zheng , Genevera I. Allen