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This paper introduces a straightforward sieve-based approach for estimating and conducting inference on regression parameters in panel data models with interactive fixed effects. The method's key assumption is that factor loadings can be…

Econometrics · Economics 2025-02-26 Georg Keilbar , Juan M. Rodriguez-Poo , Alexandra Soberon , Weining Wang

Many modern datasets, such as those in ecology and geology, are composed of samples with spatial structure and dependence. With such data violating the usual independent and identically distributed (IID) assumption in machine learning and…

Methodology · Statistics 2023-10-18 Kevin Fry , Jonathan E. Taylor

This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

Methodology · Statistics 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

The paper proposes a new bootstrap approach to the Pesaran, Shin and Smith's bound tests in a conditional equilibrium correction model with the aim to overcome some typical drawbacks of the latter, such as inconclusive inference and…

Econometrics · Economics 2022-04-12 Stefano Bertelli , Gianmarco Vacca , Maria Grazia Zoia

Most of the modern literature on robust mean estimation focuses on designing estimators which obtain optimal sub-Gaussian concentration bounds under minimal moment assumptions and sometimes also assuming contamination. This work looks at…

Statistics Theory · Mathematics 2024-10-30 Lucas Resende

Nonparametric two-sample testing is a classical problem in inferential statistics. While modern two-sample tests, such as the edge count test and its variants, can handle multivariate and non-Euclidean data, contemporary gargantuan datasets…

Methodology · Statistics 2023-04-28 Trambak Banerjee , Bhaswar B. Bhattacharya , Gourab Mukherjee

As predictive algorithms grow in popularity, using the same dataset to both train and test a new model has become routine across research, policy, and industry. Sample-splitting attains valid inference on model properties by using separate…

Econometrics · Economics 2025-11-27 Bruno Fava

Bayesian statistical inference for Generalized Linear Models (GLMs) with parameters lying on a constrained space is of general interest (e.g., in monotonic or convex regression), but often constructing valid prior distributions supported on…

Methodology · Statistics 2021-09-02 Rahul Ghosal , Sujit K. Ghosh

The bootstrap, based on resampling, has, for several decades, been a widely used method for computing confidence intervals for applications where no exact method is available and when sample sizes are not large enough to be able to rely on…

Applications · Statistics 2018-08-27 Chris Gotwalt , Li Xu , Yili Hong , William Q. Meeker

This paper derives central limit and bootstrap theorems for probabilities that sums of centered high-dimensional random vectors hit hyperrectangles and sparsely convex sets. Specifically, we derive Gaussian and bootstrap approximations for…

Statistics Theory · Mathematics 2016-03-09 Victor Chernozhukov , Denis Chetverikov , Kengo Kato

The bootstrap is a method for estimating the distribution of an estimator or test statistic by re-sampling the data or a model estimated from the data. Under conditions that hold in a wide variety of econometric applications, the bootstrap…

Econometrics · Economics 2018-09-12 Joel L. Horowitz

Simultaneous inference for high-dimensional non-Gaussian time series is always considered to be a challenging problem. Such tasks require not only robust estimation of the coefficients in the random process, but also deriving limiting…

Methodology · Statistics 2021-11-03 Linbo Liu , Danna Zhang

In longitudinal and spatial studies, observations often demonstrate strong correlations that are stationary in time or distance lags, and the times or locations of these data being sampled may not be homogeneous. We propose a nonparametric…

Statistics Theory · Mathematics 2007-11-06 Yehua Li , Naisyin Wang , Meeyoung Hong , Nancy D. Turner , Joanne R. Lupton , Raymond J. Carroll

Recent advances in molecular simulations allow the evaluation of previously unattainable observables, such as rate constants for protein folding. However, these calculations are usually computationally expensive and even significant…

Applications · Statistics 2019-03-27 Barmak Mostofian , Daniel M. Zuckerman

We propose a methodology for constructing confidence regions with partially identified models of general form. The region is obtained by inverting a test of internal consistency of the econometric structure. We develop a dilation bootstrap…

Econometrics · Economics 2021-02-10 Alfred Galichon , Marc Henry

Generalized linear model or GLM constitutes a large class of models and essentially extends the ordinary linear regression by connecting the mean of the response variable with the covariate through appropriate link functions. On the other…

Methodology · Statistics 2026-02-03 Mayukh Choudhury , Debraj Das

We propose an estimator of a concave cumulative distribution function under the measurement error model, where the non-negative variables of interest are perturbed by additive independent random noise. The estimator is defined as the least…

Statistics Theory · Mathematics 2026-03-03 Mohammed Es-Salih Benjrada , Cecile Durot , Tommaso Lando

We propose and analyze a model-based bootstrap for transition kernels in finite controlled Markov chains (CMCs) with possibly nonstationary or history-dependent control policies, a setting that arises naturally in offline reinforcement…

Machine Learning · Statistics 2026-05-13 Ziwei Su , Imon Banerjee , Diego Klabjan

Valid uncertainty quantification after model selection remains challenging in high-dimensional linear regression, especially within the possibilistic inferential model (PIM) framework. We develop possibilistic inferential models for…

Methodology · Statistics 2025-12-23 Yaohui Lin

In this paper, we consider possibly misspecified stochastic differential equation models driven by L\'{e}vy processes. Regardless of whether the driving noise is Gaussian or not, Gaussian quasi-likelihood estimator can estimate unknown…

Statistics Theory · Mathematics 2021-10-11 Yuma Uehara