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Prediction intervals are commonly used in meta-analysis with random-effects models. One widely used method, the Higgins-Thompson-Spiegelhalter prediction interval, replaces the heterogeneity parameter with its point estimate, but its…

Methodology · Statistics 2025-11-14 Kengo Nagashima , Hisashi Noma , Toshi A. Furukawa

The ISO 5725 series frames interlaboratory precision through repeatability, between-laboratory, and reproducibility variances, yet practical guidance on deploying bootstrap methods within this one-way random-effects setting remains limited.…

Applications · Statistics 2026-02-10 Jun-ichi Takeshita , Kazuhiro Morita , Tomomichi Suzuki

This project revolves around studying estimators for parameters in different Time Series models and studying their assymptotic properties. We introduce various bootstrap techniques for the estimators obtained. Our special emphasis is on…

Statistics Theory · Mathematics 2012-01-06 Abhishek Bhattacharya , Arup Bose

The estimation of parameter standard errors for semi-variogram models is challenging, given the two-step process required to fit a parametric model to spatially correlated data. Motivated by an application in the social-epidemiology, we…

Methodology · Statistics 2023-07-18 Julia Dyck , Odile Sauzet

This paper develops valid bootstrap inference methods for the dynamic short panel threshold regression. We show that the standard nonparametric bootstrap is inconsistent for the first-differenced generalized method of moments (GMM)…

Econometrics · Economics 2025-11-18 Woosik Gong , Myung Hwan Seo

This paper reviews two main types of prediction interval methods under a parametric framework. First, we describe methods based on an (approximate) pivotal quantity. Examples include the plug-in, pivotal, and calibration methods. Then we…

Methodology · Statistics 2021-09-28 Qinglong Tian , Daniel J. Nordman , William Q. Meeker

Assessing sensitivity to unmeasured confounding is an important step in observational studies, which typically estimate effects under the assumption that all confounders are measured. In this paper, we develop a sensitivity analysis…

Methodology · Statistics 2023-09-04 Dan Soriano , Eli Ben-Michael , Peter J. Bickel , Avi Feller , Samuel D. Pimentel

Estimating errors is a crucial part of any scientific analysis. Whenever a parameter is estimated (model-based or not), an error estimate is necessary. Any parameter estimate that is given without an error estimate is meaningless.…

Instrumentation and Methods for Astrophysics · Physics 2010-11-01 Rene Andrae

In assessing prediction accuracy of multivariable prediction models, optimism corrections are essential for preventing biased results. However, in most published papers of clinical prediction models, the point estimates of the prediction…

Bootstrap methods for estimating the long-run covariance of stationary functional time series are considered. We introduce a versatile bootstrap method that relies on functional principal component analysis, where principal component scores…

Computation · Statistics 2016-10-05 Han Lin Shang

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

Robust design has been widely recognized as a leading method in reducing variability and improving quality. Most of the engineering statistics literature mainly focuses on finding "point estimates" of the optimum operating conditions for…

Methodology · Statistics 2013-08-14 Chanseok Park

This paper studies parametric bootstrap methods for network data, with the goal of quantifying the uncertainty of network statistics of interest. While existing network resampling methods primarily focus on count statistics under…

Methodology · Statistics 2026-05-29 Zhixuan Shao , Can M. Le

Determining the solvability of a given quantum mechanical system is generally challenging. We discuss that the numerical bootstrap method can help us to solve this question in one-dimensional quantum mechanics. We show that the bootstrap…

High Energy Physics - Theory · Physics 2025-12-09 Yu Aikawa , Takeshi Morita

We propose a bootstrap-based calibrated projection procedure to build confidence intervals for single components and for smooth functions of a partially identified parameter vector in moment (in)equality models. The method controls…

Statistics Theory · Mathematics 2024-07-03 Hiroaki Kaido , Francesca Molinari , Jörg Stoye

Fitting parametric models by optimizing frequency domain objective functions is an attractive approach of parameter estimation in time series analysis. Whittle estimators are a prominent example in this context. Under weak conditions and…

Statistics Theory · Mathematics 2021-07-26 Jens-Peter Kreiss , Efstathios Paparoditis

The non-linear autoregressive (NLAR) model plays an important role in modeling and predicting time series. One-step ahead prediction is straightforward using the NLAR model, but the multi-step ahead prediction is cumbersome. For instance,…

Methodology · Statistics 2023-06-08 Kejin Wu , Dimitris N. Politis

A multiplier bootstrap procedure for construction of likelihood-based confidence sets is considered for finite samples and a possible model misspecification. Theoretical results justify the bootstrap validity for a small or moderate sample…

Statistics Theory · Mathematics 2015-11-18 Vladimir Spokoiny , Mayya Zhilova

Bootstrapping can produce confidence levels for hypotheses about quadratic regression models - such as whether the U-shape is inverted, and the location of optima. The method has several advantages over conventional methods: it provides…

Methodology · Statistics 2012-07-09 Michael Wood

In an earlier paper Rakonczai et al. (2014), we have emphasized the effective sample size for autocorrelated data. The simulations were based on the block bootstrap methodology. However, the discreteness of the usual block size did not…

Statistics Theory · Mathematics 2016-06-02 László Varga , András Zempléni
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