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Resampling techniques have become increasingly popular for estimation of uncertainty in data collected via surveys. Survey data are also frequently subject to missing data which are often imputed. This note addresses the issue of using…

Methodology · Statistics 2023-11-27 Michael W. Robbins , Lane Burgette , Sebastian Bauhoff

We investigate properties of a bootstrap-based methodology for testing hypotheses about equality of certain characteristics of the distributions between different populations in the context of functional data. The suggested testing…

Statistics Theory · Mathematics 2016-09-29 Efstathios Paparoditis , Theofanis Sapatinas

We present a technique using data depth functions and resampling to perform best subset variable selection for a wide range of statistical models. We do this by assigning a score, called an $e$-value, to a candidate model, and use a fast…

Methodology · Statistics 2017-11-29 Subhabrata Majumdar , Snigdhansu Chatterjee

We propose a bootstrap procedure for data that may exhibit clustering in two or more dimensions. We use insights from the theory of generalized U-statistics to analyze the large-sample properties of statistics that are sample averages from…

Methodology · Statistics 2017-12-06 Konrad Menzel

We present the fundamentals of a measure transport approach to sampling. The idea is to construct a deterministic coupling---i.e., a transport map---between a complex "target" probability measure of interest and a simpler reference measure.…

Computation · Statistics 2017-12-27 Youssef Marzouk , Tarek Moselhy , Matthew Parno , Alessio Spantini

A major challenge for building statistical models in the big data era is that the available data volume far exceeds the computational capability. A common approach for solving this problem is to employ a subsampled dataset that can be…

Computation · Statistics 2018-09-14 Lei Han , Kean Ming Tan , Ting Yang , Tong Zhang

We characterize the statistical bootstrap for the estimation of information-theoretic quantities from data, with particular reference to its use in the study of large-scale social phenomena. Our methods allow one to preserve, approximately,…

Information Theory · Computer Science 2013-06-06 Simon DeDeo , Robert X. D. Hawkins , Sara Klingenstein , Tim Hitchcock

The latent class model is a powerful unsupervised clustering algorithm for categorical data. Many statistics exist to test the fit of the latent class model. However, traditional methods to evaluate those fit statistics are not always…

Methodology · Statistics 2018-01-30 Geert H. van Kollenburg , Joris Mulder , Jeroen K. Vermunt

In this paper we consider the problem of bootstrapping a class of spatial regression models when the sampling sites are generated by a (possibly nonuniform) stochastic design and are irregularly spaced. It is shown that the natural…

Statistics Theory · Mathematics 2007-06-13 S. N. Lahiri , Jun Zhu

Analysis of stochastic models of networks is quite important in light of the huge influx of network data in social, information and bio sciences, but a proper statistical analysis of features of different stochastic models of networks is…

Methodology · Statistics 2015-11-18 Sharmodeep Bhattacharyya , Peter J. Bickel

We show that, when the double bootstrap is used to improve performance of bootstrap methods for bias correction, techniques based on using a single double-bootstrap sample for each single-bootstrap sample can be particularly effective. In…

Statistics Theory · Mathematics 2015-11-12 Jinyuan Chang , Peter Hall

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

In distributed, or privacy-preserving learning, we are often given a set of probabilistic models estimated from different local repositories, and asked to combine them into a single model that gives efficient statistical estimation. A…

Machine Learning · Statistics 2017-03-01 Jun Han , Qiang Liu

For many use cases, combining information from different datasets can be of interest to improve a machine learning model's performance, especially when the number of samples from at least one of the datasets is small. However, a potential…

Machine Learning · Statistics 2023-05-17 Thu Nguyen , Rabindra Khadka , Nhan Phan , Anis Yazidi , Pål Halvorsen , Michael A. Riegler

In transportation network analysis, various types of road network data can be used even when focusing on the same region. Since different road network datasets can make different performance in analyses, it is necessary to compare them and…

Computational Engineering, Finance, and Science · Computer Science 2026-05-21 Hengyi Zhong , Toru Seo

We investigate popular resampling methods for estimating the uncertainty of statistical models, such as subsampling, bootstrap and the jackknife, and their performance in high-dimensional supervised regression tasks. We provide a tight…

Residual bootstrap is a classical method for statistical inference in regression settings. With massive data sets becoming increasingly common, there is a demand for computationally efficient alternatives to residual bootstrap. We propose a…

Methodology · Statistics 2024-09-30 Indrila Ganguly , Srijan Sengupta , Sujit Ghosh

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…

Applications · Statistics 2007-12-18 Art B. Owen

Understanding human mobility is of vital importance for urban planning, epidemiology, and many other fields that aim to draw policies from the activities of humans in space. Despite recent availability of large scale data sets related to…

Physics and Society · Physics 2015-08-18 Oleguer Sagarra , Michael Szell , Paolo Santi , Albert Diaz-Guilera , Carlo Ratti

To study gap acceptance behaviour one needs the distribution (or probability density function) of gaps in the opposing stream. Further, in these times of widespread availability of large computing powers, traffic simulation has emerged as a…

Applications · Statistics 2025-12-10 Ankita Sharma , Partha Chakroborty , Pranamesh Chakraborty