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Structural equation models are commonly used to capture the relationship between sets of observed and unobservable variables. Traditionally these models are fitted using frequentist approaches but recently researchers and practitioners have…

Methodology · Statistics 2023-02-22 Khue-Dung Dang , Luca Maestrini

While widely used as a general method for uncertainty quantification, the bootstrap method encounters difficulties that raise concerns about its validity in practical applications. This paper introduces a new resampling-based method, termed…

Methodology · Statistics 2024-08-30 Yiran Jiang , Chuanhai Liu , Heping Zhang

The limiting distribution for M-estimates in a non-stationary autoregressive model with heavy-tailed error is computationally intractable. To make inferences based on the M-estimates, the bootstrap procedure can be used to approximate the…

Statistics Theory · Mathematics 2016-03-09 Maryam Sohrabi , Mahmoud Zarepour

This paper proposes a local projection residual bootstrap method to construct confidence intervals for impulse response coefficients of AR(1) models. Our bootstrap method is based on the local projection (LP) approach and involves a…

Econometrics · Economics 2026-01-14 Amilcar Velez

Clinical prediction models are increasingly used to support patient care, yet many deep learning-based approaches remain unstable, as their predictions can vary substantially when trained on different samples from the same population. Such…

Machine Learning · Computer Science 2026-02-13 Sara Matijevic , Christopher Yau

In the context of principal components analysis (PCA), the bootstrap is commonly applied to solve a variety of inference problems, such as constructing confidence intervals for the eigenvalues of the population covariance matrix $\Sigma$.…

Statistics Theory · Mathematics 2022-02-17 Junwen Yao , Miles E. Lopes

The paper studies a problem of constructing simultaneous likelihood-based confidence sets. We consider a simultaneous multiplier bootstrap procedure for estimating the quantiles of the joint distribution of the likelihood ratio statistics,…

Statistics Theory · Mathematics 2015-06-19 Mayya Zhilova

High-dimensional linear models with endogenous variables play an increasingly important role in recent econometric literature. In this work we allow for models with many endogenous variables and many instrument variables to achieve…

Econometrics · Economics 2019-08-30 Alexandre Belloni , Christian Hansen , Whitney Newey

Inference about a scalar parameter of interest typically relies on the asymptotic normality of common likelihood pivots, such as the signed likelihood root, the score and Wald statistics. Nevertheless, the resulting inferential procedures…

Statistics Theory · Mathematics 2022-01-07 Ruggero Bellio , Ioannis Kosmidis , Alessandra Salvan , Nicola Sartori

Reliable uncertainty quantification remains a central challenge in predictive modeling. While Bayesian methods are theoretically appealing, their predictive intervals can exhibit poor frequentist calibration, particularly with small sample…

Methodology · Statistics 2025-08-05 Graham Gibson

Increasingly complex datasets pose a number of challenges for Bayesian inference. Conventional posterior sampling based on Markov chain Monte Carlo can be too computationally intensive, is serial in nature and mixes poorly between posterior…

Machine Learning · Statistics 2019-08-27 Edwin Fong , Simon Lyddon , Chris Holmes

The bootstrap is a widely used procedure for statistical inference because of its simplicity and attractive statistical properties. However, the vanilla version of bootstrap is no longer feasible computationally for many modern massive…

Methodology · Statistics 2023-02-16 Yingying Ma , Chenlei Leng , Hansheng Wang

The Mallows-Binomial distribution is the first joint statistical model for rankings and ratings (Pearce and Erosheva, 2022). Because frequentist estimation of the model parameters and their uncertainty is challenging, it is natural to…

Statistics Theory · Mathematics 2022-07-22 Michael Pearce , Elena A. Erosheva

The present contribution investigates multivariate bootstrap procedures for general stabilizing statistics, with specific application to topological data analysis. Existing limit theorems for topological statistics prove difficult to use in…

Statistics Theory · Mathematics 2023-11-28 Benjamin Roycraft , Johannes Krebs , Wolfgang Polonik

We derive nonparametric confidence intervals for the eigenvalues of the Hessian at modes of a density estimate. This provides information about the strength and shape of modes and can also be used as a significance test. We use a…

This paper investigates the accuracy of bootstrap-based bias correction of persistence measures for long memory fractionally integrated processes. The bootstrap method is based on the semi-parametric sieve approach, with the dynamics in the…

Methodology · Statistics 2016-03-08 Simone D. Grose , Gael M. Martin , Donald S. Poskitt

In this paper, we show an innovative way to construct bootstrap confidence interval of a signal estimated based on a univariate LSTM model. We take three different types of bootstrap methods for dependent set up. We prescribe some useful…

Machine Learning · Statistics 2020-07-02 Shankhyajyoti De , Arabin Kumar Dey , Deepak Gauda

This paper proposes a valid bootstrap-based distributional approximation for M-estimators exhibiting a Chernoff (1964)-type limiting distribution. For estimators of this kind, the standard nonparametric bootstrap is inconsistent. The method…

Statistics Theory · Mathematics 2020-06-01 Matias D. Cattaneo , Michael Jansson , Kenichi Nagasawa

The problem of testing the equality of the generating processes of two categorical time series is addressed in this work. To this aim, we propose three tests relying on a dissimilarity measure between categorical processes. Particular…

Methodology · Statistics 2023-05-02 Ángel López-Oriona , José Antonio Vilar Fernández , Pierpaolo D'Urso

Standard gradient descent methods yield point estimates with no measure of confidence. This limitation is acute in overparameterized and low-data regimes, where models have many parameters relative to available data and can easily overfit.…

Machine Learning · Computer Science 2025-08-22 Carlos Stein Brito
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