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In this paper, we propose a new statistical inference method for massive data sets, which is very simple and efficient by combining divide-and-conquer method and empirical likelihood. Compared with two popular methods (the bag of little…

Methodology · Statistics 2020-04-21 Xuejun Ma , Shaochen Wang , Wang Zhou

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 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…

Methodology · Statistics 2023-06-21 Henry Lam , Zhenyuan Liu

The bootstrap is a popular and powerful method for assessing precision of estimators and inferential methods. However, for massive datasets which are increasingly prevalent, the bootstrap becomes prohibitively costly in computation and its…

Methodology · Statistics 2015-08-06 Srijan Sengupta , Stanislav Volgushev , Xiaofeng Shao

In this paper, we propose a bootstrap method applied to massive data processed distributedly in a large number of machines. This new method is computationally efficient in that we bootstrap on the master machine without over-resampling,…

Machine Learning · Statistics 2020-02-21 Yang Yu , Shih-Kang Chao , Guang Cheng

A core problem in statistical network analysis is to develop network analogues of classical techniques. The problem of bootstrapping network data stands out as especially challenging, since typically one observes only a single network,…

Statistics Theory · Mathematics 2021-10-13 Keith Levin , Elizaveta Levina

The bootstrap is a versatile inference method that has proven powerful in many statistical problems. However, when applied to modern large-scale models, it could face substantial computation demand from repeated data resampling and model…

Methodology · Statistics 2022-02-02 Henry Lam

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,…

Statistics Theory · Mathematics 2007-06-13 Riadh Kallel , Marie Cottrell , Vincent Vigneron

Resampling methods such as the bootstrap have proven invaluable in the field of machine learning. However, the applicability of traditional bootstrap methods is limited when dealing with large streams of dependent data, such as time series…

Machine Learning · Statistics 2024-02-28 Nicolai Palm , Thomas Nagler

In this paper we address the problem of performing statistical inference for large scale data sets i.e., Big Data. The volume and dimensionality of the data may be so high that it cannot be processed or stored in a single computing node. We…

Methodology · Statistics 2016-04-20 Shahab Basiri , Esa Ollila , Visa Koivunen

The wild bootstrap is a popular resampling method in the context of time-to-event data analyses. Previous works established the large sample properties of it for applications to different estimators and test statistics. It can be used to…

Methodology · Statistics 2023-10-27 Marina T. Dietrich , Dennis Dobler , Mathisca C. M. de Gunst

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…

Machine Learning · Statistics 2017-10-26 Anthony Gamst , Jay-Calvin Reyes , Alden Walker

Statistical multispecies models of multiarea marine ecosystems use a variety of data sources to estimate parameters using composite or weighted likelihood functions with associated weighting issues and questions on how to obtain variance…

Applications · Statistics 2012-02-16 Lorna Taylor , Verena M. Trenkel , Vojtech Kupca , Gunnar Stefansson

When randomized ensemble methods such as bagging and random forests are implemented, a basic question arises: Is the ensemble large enough? In particular, the practitioner desires a rigorous guarantee that a given ensemble will perform…

Machine Learning · Statistics 2019-08-06 Miles E. Lopes , Suofei Wu , Thomas C. M. Lee

Model averaging techniques based on resampling methods (such as bootstrapping or subsampling) have been utilized across many areas of statistics, often with the explicit goal of promoting stability in the resulting output. We provide a…

Statistics Theory · Mathematics 2024-05-28 Jake A. Soloff , Rina Foygel Barber , Rebecca Willett

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…

Econometrics · Economics 2018-09-12 Joel L. Horowitz

In this article, we present data-subsetting algorithms that allow for the approximate and scalable implementation of the Bayesian bootstrap. They are analogous to two existing algorithms in the frequentist literature: the bag of little…

Computation · Statistics 2019-03-25 Andrés F. Barrientos , Víctor Peña

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…

Statistics Theory · Mathematics 2019-01-08 Zhonglei Wang , Jae Kwang Kim , Liuhua Peng

Bootstrapping is a powerful statistical resampling technique for estimating the sampling distribution of an estimator. However, its computational cost becomes prohibitive for large datasets or a high number of resamples. This paper presents…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-10-21 Di Zhang

For data sets populated by a very well modeled process and by another process of unknown probability density function (PDF), a desired feature when manipulating the fraction of the unknown process (either for enhancing it or suppressing it)…

Machine Learning · Statistics 2017-04-05 Pietro Vischia , Tommaso Dorigo
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