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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,…

统计理论 · 数学 2021-10-13 Keith Levin , Elizaveta Levina

The aim of this paper is to develop a change-point test for functional time series that uses the full functional information and is less sensitive to outliers compared to the classical CUSUM test. For this aim, the Wilcoxon two-sample test…

统计理论 · 数学 2023-06-06 Lea Wegner , Martin Wendler

We introduce a bootstrap procedure for high-frequency statistics of Brownian semistationary processes. More specifically, we focus on a hypothesis test on the roughness of sample paths of Brownian semistationary processes, which uses an…

统计理论 · 数学 2021-01-06 Mikkel Bennedsen , Ulrich Hounyo , Asger Lunde , Mikko S. Pakkanen

The normalizing constant plays an important role in Bayesian computation, and there is a large literature on methods for computing or approximating normalizing constants that cannot be evaluated in closed form. When the normalizing constant…

统计计算 · 统计学 2020-09-02 Yuling Yao , Collin Cademartori , Aki Vehtari , Andrew Gelman

In this article we propose novel Bayesian nonparametric methods using Dirichlet Process Mixture (DPM) models for detecting pairwise dependence between random variables while accounting for uncertainty in the form of the underlying…

统计方法学 · 统计学 2016-04-28 Sarah Filippi , Chris C. Holmes , Luis E. Nieto-Barajas

This paper studies inference for the mean vector of a high-dimensional $U$-statistic. In the era of Big Data, the dimension $d$ of the $U$-statistic and the sample size $n$ of the observations tend to be both large, and the computation of…

统计理论 · 数学 2019-01-29 Xiaohui Chen , Kengo Kato

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…

统计方法学 · 统计学 2012-07-09 Michael Wood

This paper takes a different look on the problem of testing the mutual independence of the components of a high-dimensional vector. Instead of testing if all pairwise associations (e.g. all pairwise Kendall's $\tau$) between the components…

统计理论 · 数学 2024-02-14 Patrick Bastian , Holger Dette , Johannes Heiny

In this paper, we consider a probabilistic setting where the probability measures are considered to be random objects. We propose a procedure of construction non-asymptotic confidence sets for empirical barycenters in 2-Wasserstein space…

统计理论 · 数学 2017-03-13 Johannes Ebert , Vladimir Spokoiny , Alexandra Suvorikova

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

We study multiple change-points detection using multi-samples tests based on U-statistics for absolutely regular observations. Our results extend those of Ngatchou-Wandji et al. (2022) concerned with the study of one single changepoint. The…

统计理论 · 数学 2025-11-25 Joseph Ngatchou-Wandji , Echarif Elharfaoui , Michel Harel

We study (asymmetric) $U$-statistics based on a stationary sequence of $m$-dependent variables; moreover, we consider constrained $U$-statistics, where the defining multiple sum only includes terms satisfying some restrictions on the gaps…

概率论 · 数学 2022-03-10 Svante Janson

In time series analysis, statistics based on collections of estimators computed from sub-samples play a crucial role in an increasing variety of important applications. Proving results about the joint asymptotic distribution of such…

统计理论 · 数学 2013-05-27 Stanislav Volgushev , Xiaofeng Shao

We study the weak convergence of conditional empirical copula processes, when the conditioning event has a nonzero probability. The validity of several bootstrap schemes is stated, including the exchangeable bootstrap. We define general -…

统计理论 · 数学 2020-08-24 Alexis Derumigny , Jean-David Fermanian

We consider a re-sampling scheme for estimation of the population parameters in the mixed effects nonlinear regression models of the type use for example in clinical pharmacokinetics, say. We provide an estimation procedure which {\it…

统计理论 · 数学 2019-02-05 Benzion Boukai , Yue Zhang

In this work, we propose a novel deep bootstrap framework for nonparametric regression based on conditional diffusion models. Specifically, we construct a conditional diffusion model to learn the distribution of the response variable given…

机器学习 · 统计学 2026-02-12 Jinyuan Chang , Yuling Jiao , Lican Kang , Junjie Shi

Considering multivariate strongly mixing time series, nonparametric tests for a constant copula with specified or unspecified change point (candidate) are derived; the tests are consistent against general alternatives. A tapered block…

统计理论 · 数学 2012-06-11 Axel Bücher , Martin Ruppert

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…

统计理论 · 数学 2024-05-28 Jake A. Soloff , Rina Foygel Barber , Rebecca Willett

In a two-stage cluster sampling procedure, $n$ random populations are drawn independently from independent populations and a sub-sample of observations is taken in each of them. The estimator of the general mean of the observed variables is…

统计理论 · 数学 2009-09-29 Odile Pons

The block maxima method is a standard approach for analyzing the extremal behavior of a potentially multivariate time series. It has recently been found that the classical approach based on disjoint block maxima may be universally improved…

统计理论 · 数学 2025-03-26 Axel Bücher , Torben Staud