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Bootstrapping and other resampling methods are increasingly appearing in the textbooks and curricula of courses that introduce undergraduate students to statistical methods. In order to teach the bootstrap well, students and instructors…

其他统计学 · 统计学 2024-05-30 Njesa Totty , James Molyneux , Claudio Fuentes

The bootstrap is a popular data-driven method to quantify statistical uncertainty, but for modern high-dimensional problems, it could suffer from huge computational costs due to the need to repeatedly generate resamples and refit models. We…

统计方法学 · 统计学 2023-06-21 Henry Lam , Zhenyuan Liu

In the recent paper [5], a Bayesian approach for constructing confidence intervals in monotone regression problems is proposed, based on credible intervals. We view this method from a frequentist point of view, and show that it corresponds…

统计理论 · 数学 2023-08-01 Piet Groeneboom , Geurt Jongbloed

Bootstrap inference is a powerful tool for obtaining robust inference for quantiles and difference-in-quantiles estimators. The computationally intensive nature of bootstrap inference has made it infeasible in large-scale experiments. In…

统计方法学 · 统计学 2022-03-10 Mårten Schultzberg , Sebastian Ankargren

Bootstrap is a principled and powerful frequentist statistical tool for uncertainty quantification. Unfortunately, standard bootstrap methods are computationally intensive due to the need of drawing a large i.i.d. bootstrap sample to…

机器学习 · 计算机科学 2022-09-02 Mao Ye , Qiang Liu

Bootstrap is a useful tool for making statistical inference, but it may provide erroneous results under complex survey sampling. Most studies about bootstrap-based inference are developed under simple random sampling and stratified random…

统计理论 · 数学 2019-01-08 Zhonglei Wang , Jae Kwang Kim , Liuhua Peng

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

The role played by the composite analogue of the log likelihood ratio in hypothesis testing and in setting confidence regions is not as prominent as it is in the canonical likelihood setting, since its asymptotic distribution depends on the…

统计方法学 · 统计学 2013-01-30 Nicola Lunardon

A critical literature review and comprehensive simulation study is used to show that (a) non-parametric bootstrap is a viable alternative to commonly taught and used methods in basic estimation tasks (mean, variance, quartiles, correlation)…

统计方法学 · 统计学 2025-10-16 Urša Zrimšek , Erik Štrumbelj

In this paper we present a technique for using the bootstrap to estimate the operating characteristics and their variability for certain types of ensemble methods. Bootstrapping a model can require a huge amount of work if the training data…

机器学习 · 统计学 2017-10-26 Anthony Gamst , Jay-Calvin Reyes , Alden Walker

Estimating causal effects from large experimental and observational data has become increasingly prevalent in both industry and research. The bootstrap is an intuitive and powerful technique used to construct standard errors and confidence…

统计方法学 · 统计学 2023-02-07 Matthew Kosko , Lin Wang , Michele Santacatterina

Bootstrap techniques (also called resampling computation techniques) have introduced new advances in modeling and model evaluation. Using resampling methods to construct a series of new samples which are based on the original data set,…

统计理论 · 数学 2007-06-13 Riadh Kallel , Marie Cottrell , Vincent Vigneron

Recently there has been much interest in data that, in statistical language, may be described as having a large crossed and severely unbalanced random effects structure. Such data sets arise for recommender engines and information retrieval…

应用统计 · 统计学 2007-12-18 Art B. Owen

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…

统计方法学 · 统计学 2023-02-16 Yingying Ma , Chenlei Leng , Hansheng Wang

Motivated by a neuroscience question about synchrony detection in spike train analysis, we deal with the independence testing problem for point processes. We introduce non-parametric test statistics, which are rescaled general…

统计理论 · 数学 2015-05-28 Mélisande Albert , Yann Bouret , Magalie Fromont , Patricia Reynaud-Bouret

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…

Modern problems in statistics tend to include estimators of high computational complexity and with complicated distributions. Statistical inference on such estimators usually relies on asymptotic normality assumptions, however, such…

统计方法学 · 统计学 2016-12-08 Eyal Fisher , Regev Schweiger , Saharon Rosset

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

统计理论 · 数学 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

Variational inference is a general approach for approximating complex density functions, such as those arising in latent variable models, popular in machine learning. It has been applied to approximate the maximum likelihood estimator and…

统计方法学 · 统计学 2018-04-19 Yen-Chi Chen , Y. Samuel Wang , Elena A. Erosheva

We consider the issue of performing accurate small sample inference in beta autoregressive moving average model, which is useful for modeling and forecasting continuous variables that assumes values in the interval $(0,1)$. The inferences…

统计计算 · 统计学 2017-02-16 Bruna Gregory Palm , Fábio M. Bayer