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Related papers: Bootstraps for Dynamic Panel Threshold Models

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Standard approaches to constructing nonparametric confidence bands for functions are frustrated by the impact of bias, which generally is not estimated consistently when using the bootstrap and conventionally smoothed function estimators.…

Statistics Theory · Mathematics 2014-01-30 Peter Hall , Joel Horowitz

In this paper we consider the problem of bootstrapping a class of spatial regression models when the sampling sites are generated by a (possibly nonuniform) stochastic design and are irregularly spaced. It is shown that the natural…

Statistics Theory · Mathematics 2007-06-13 S. N. Lahiri , Jun Zhu

In modern experimental science, there is a common problem of estimating the coefficients of a linear regression in a context where the variables of interest cannot be observed simultaneously. When there is a categorical variable that is…

Methodology · Statistics 2025-03-10 Polina Arsenteva , Mohamed Amine Benadjaoud , Hervé Cardot

A bootstrap procedure for constructing prediction bands for a stationary functional time series is proposed. The procedure exploits a general vector autoregressive representation of the time-reversed series of Fourier coefficients appearing…

Statistics Theory · Mathematics 2023-07-17 Efstathios Paparoditis , Han Lin Shang

This paper develops a method to construct uniform confidence bands for a nonparametric regression function where a predictor variable is subject to a measurement error. We allow for the distribution of the measurement error to be unknown,…

Statistics Theory · Mathematics 2019-06-17 Kengo Kato , Yuya Sasaki

Stochastic gradient descent (SGD) or stochastic approximation has been widely used in model training and stochastic optimization. While there is a huge literature on analyzing its convergence, inference on the obtained solutions from SGD…

Machine Learning · Statistics 2026-04-01 Henry Lam , Zitong Wang

This article explores combinations of weighted bootstraps, like the Bayesian bootstrap, with the bootstrap $t$ method for setting approximate confidence intervals for the mean of a random variable in small samples. For this problem the…

Statistics Theory · Mathematics 2025-08-21 Art B. Owen

We consider a generalized method of moments framework in which a part of the data vector is missing for some units in a completely unrestricted, potentially endogenous way. In this setup, the parameters of interest are usually only…

Econometrics · Economics 2026-01-07 Grigory Franguridi , Hyungsik Roger Moon

We establish the asymptotic validity of the bootstrap-based IVX estimator proposed by Phillips and Magdalinos (2009) for the predictive regression model parameter based on a local-to-unity specification of the autoregressive coefficient…

Econometrics · Economics 2023-07-28 Christis Katsouris

Despite their deterministic nature, dynamical systems often exhibit seemingly random behaviour. Consequently, a dynamical system is usually represented by a probabilistic model of which the unknown parameters must be estimated using…

Dynamical Systems · Mathematics 2021-08-20 Kasun Fernando , Nan Zou

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

The problem of constructing a simultaneous confidence surface for the 2-dimensional mean function of a non-stationary functional time series is challenging as these bands can not be built on classical limit theory for the maximum absolute…

Statistics Theory · Mathematics 2024-11-27 Holger Dette , Weichi Wu

Reliable forward uncertainty quantification in engineering requires methods that account for aleatory and epistemic uncertainties. In many applications, epistemic effects arising from uncertain parameters and model form dominate prediction…

Computational Engineering, Finance, and Science · Computer Science 2025-12-18 Akash Yadav , Ruda Zhang

This paper presents robust inference methods for general linear hypotheses in linear panel data models with latent group structure in the coefficients. We employ a selective conditional inference approach, deriving the conditional…

Econometrics · Economics 2025-11-25 Oguzhan Akgun , Ryo Okui

Practical inference procedures for quantile regression models of panel data have been a pervasive concern in empirical work, and can be especially challenging when the panel is observed over many time periods and temporal dependence needs…

Econometrics · Economics 2025-07-25 Antonio F. Galvao , Carlos Lamarche , Thomas Parker

Model misspecification is ubiquitous in data analysis because the data-generating process is often complex and mathematically intractable. Therefore, assessing estimation uncertainty and conducting statistical inference under a possibly…

Methodology · Statistics 2023-12-19 Rong Li , Yichen Qin , Yang Li

This paper studies the joint inference on conditional volatility parameters and the innovation moments by means of bootstrap to test for the existence of moments for GARCH(p,q) processes. We propose a residual bootstrap to mimic the joint…

Econometrics · Economics 2019-07-11 Alexander Heinemann

We develop a novel numerical bootstrap for unitary, crossing-symmetric conformal field theories, focusing on moment observables defined as weighted averages over conformal data. Providing a global and coarse-grained probe of the operator…

High Energy Physics - Theory · Physics 2026-03-20 Li-Yuan Chiang , David Poland , Gordon Rogelberg

In this paper, we propose new nonparametric approach to network inference that may be viewed as a fusion of block sampling procedures for temporally and spatially dependent processes with the classical network methodology. We develop…

We consider the performance of the bootstrap in high-dimensions for the setting of linear regression, where $p<n$ but $p/n$ is not close to zero. We consider ordinary least-squares as well as robust regression methods and adopt a minimalist…

Methodology · Statistics 2016-08-03 Noureddine El Karoui , Elizabeth Purdom