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A reasonable confidence interval should have a confidence coefficient no less than the given nominal level and a small expected length to reliably and accurately estimate the parameter of interest, and the bootstrap interval is considered…

统计理论 · 数学 2024-02-15 Weizhen Wang , Chongxiu Yu , Zhongzhan Zhang

The g-formula can be used to estimate the treatment effect while accounting for confounding bias in observational studies. With regard to time-to-event endpoints, possibly subject to competing risks, the construction of valid pointwise…

统计方法学 · 统计学 2024-04-03 Jasmin Rühl , Sarah Friedrich

Bootstrapping is often applied to get confidence limits for semiparametric inference of a target parameter in the presence of nuisance parameters. Bootstrapping with replacement can be computationally expensive and problematic when…

Many modern estimators require bootstrapping to calculate confidence intervals because either no analytic standard error is available or the distribution of the parameter of interest is non-symmetric. It remains however unclear how to…

统计方法学 · 统计学 2018-09-13 Michael Schomaker , Christian Heumann

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…

统计方法学 · 统计学 2025-11-14 Kengo Nagashima , Hisashi Noma , Toshi A. Furukawa

The bootstrap is a popular method of constructing confidence intervals due to its ease of use and broad applicability. Theoretical properties of bootstrap procedures have been established in a variety of settings. However, there is limited…

统计理论 · 数学 2024-04-19 Zhou Tang , Ted Westling

The h-index is a popular bibliometric indicator for assessing individual scientists. We criticize the h-index from a theoretical point of view. We argue that for the purpose of measuring the overall scientific impact of a scientist (or some…

数字图书馆 · 计算机科学 2011-08-22 Ludo Waltman , Nees Jan van Eck

One of the most commonly used methods for forming confidence intervals for statistical inference is the empirical bootstrap, which is especially expedient when the limiting distribution of the estimator is unknown. However, despite its…

统计理论 · 数学 2020-11-24 Morgane Austern , Vasilis Syrgkanis

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…

统计理论 · 数学 2025-08-21 Art B. Owen

When comparing the average citation impact of research groups, universities and countries, field normalisation reduces the influence of discipline and time. Confidence intervals for these indicators can help with attempts to infer whether…

数字图书馆 · 计算机科学 2017-03-24 Mike Thelwall , Ruth Fairclough

Bootstrap is a widely used technique that allows estimating the properties of a given estimator, such as its bias and standard error. In this paper, we evaluate and compare five bootstrap-based methods for making confidence intervals: two…

We consider the task of constructing confidence intervals with differential privacy. We propose two private variants of the non-parametric bootstrap, which privately compute the median of the results of multiple "little" bootstraps run on…

机器学习 · 统计学 2024-06-05 Karan Chadha , John Duchi , Rohith Kuditipudi

To address the difficult problem of multi-step ahead prediction of non-parametric autoregressions, we consider a forward bootstrap approach. Employing a local constant estimator, we can analyze a general type of non-parametric time series…

统计方法学 · 统计学 2023-11-02 Dimitris N. Politis , Kejin Wu

The bootstrap is a popular and convenient method for quantifying the authority of an empirical ordering of attributes, for example of a ranking of the performance of institutions or of the influence of genes on a response variable. In the…

统计理论 · 数学 2009-11-20 Peter Hall , Hugh Miller

There are some papers which describe the use of bootstrap techniques in point process statistics. The aim of the present paper is to show that the form in which bootstrap is used there is dubious. In case of variance estimation of pair…

统计理论 · 数学 2008-11-26 Martin Snethlage

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)…

计量经济学 · 经济学 2025-11-18 Woosik Gong , Myung Hwan Seo

Several factors affect the structure of communities, including biological, physical and chemical phenomena, impacting the quantification of biodiversity, measured by diversity indexes such as Shannon's entropy. Then, once a point estimate…

定量方法 · 定量生物学 2022-04-22 Gabriel R. Palma , Silvio S. Zocchi , Wesley A. C. Godoy , Jorge A. Wiendl

The goal of this paper is to develop a practical and general-purpose approach to construct confidence intervals for differentially private parametric estimation. We find that the parametric bootstrap is a simple and effective solution. It…

机器学习 · 计算机科学 2021-10-13 Cecilia Ferrando , Shufan Wang , Daniel Sheldon

In many statistical problems, several estimators are usually available for interval estimation of a parameter of interest, and hence, the selection of an appropriate estimator is important. The criterion for a good estimator is to have a…

统计方法学 · 统计学 2018-10-10 Richard Minkah , Tertius de Wet

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…

计量经济学 · 经济学 2018-09-12 Joel L. Horowitz
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