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The wild bootstrap is the resampling method of choice in survival analytic applications. Theoretic justifications rely on the assumption of existing intensity functions which is equivalent to an exclusion of ties among the event times.…

Statistics Theory · Mathematics 2024-09-11 Dennis Dobler , Merle Munko

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

We propose a simple modification to the wild bootstrap procedure and establish its asymptotic validity for linear regression models with many covariates and heteroskedastic errors. Monte Carlo simulations show that the modified wild…

Econometrics · Economics 2025-06-27 Wenze Li

In many life science experiments or medical studies, subjects are repeatedly observed and measurements are collected in factorial designs with multivariate data. The analysis of such multivariate data is typically based on multivariate…

Methodology · Statistics 2023-05-24 Lubna Amro , Frank Konietschke , Markus Pauly

The asymptotic validity of a resampling method for two sequential processes constructed from non-degenerate $U$-statistics is established under mixing conditions. The resampling schemes, referred to as {\em dependent multiplier bootstraps},…

Statistics Theory · Mathematics 2015-05-29 Axel Bücher , Ivan Kojadinovic

Split-plot or repeated measures designs are frequently used for planning experiments in the life or social sciences. Typical examples include the comparison of different treatments over time, where both factors may possess an additional…

Statistics Theory · Mathematics 2017-10-13 Maria Umlauft , Marius Placzek , Frank Konietschke , Markus Pauly

In this paper we investigate how the bootstrap can be applied to time series regressions when the volatility of the innovations is random and non-stationary. The volatility of many economic and financial time series displays persistent…

Econometrics · Economics 2021-01-12 H. Peter Boswijk , Giuseppe Cavaliere , Anders Rahbek , Iliyan Georgiev

In this paper we study a bootstrap strategy for estimating the variance of a mean taken over large multifactor crossed random effects data sets. We apply bootstrap reweighting independently to the levels of each factor, giving each…

Methodology · Statistics 2012-09-28 Art B. Owen , Dean Eckles

We propose multiplier bootstrap procedures for nonparametric inference and uncertainty quantification of the target mean function, based on a novel framework of integrating target and source data. We begin with the relatively easier…

Methodology · Statistics 2025-01-06 Zuofeng Shang , Peijun Sang , Chong Jin

Inference in extreme value theory relies on a limited number of extreme observations, making estimation challenging. To address this limitation, we propose a non-parametric simulation scheme, the multivariate extreme events spectral…

Methodology · Statistics 2026-04-13 Nisrine Madhar , Juliette Legrand , Maud Thomas

This paper investigates the (in)-consistency of various bootstrap methods for making inference on a change-point in time in the Cox model with right censored survival data. A criterion is established for the consistency of any bootstrap…

Methodology · Statistics 2013-08-01 Gongjun Xu , Bodhisattva Sen , Zhiliang Ying

This paper provides a specification test for semiparametric models with nonparametrically generated regressors. Such variables are not observed by the researcher but are nonparametrically identified and estimable. Applications of the test…

Econometrics · Economics 2023-10-26 Elia Lapenta

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…

Methodology · Statistics 2024-04-03 Jasmin Rühl , Sarah Friedrich

The paper studies a problem of constructing simultaneous likelihood-based confidence sets. We consider a simultaneous multiplier bootstrap procedure for estimating the quantiles of the joint distribution of the likelihood ratio statistics,…

Statistics Theory · Mathematics 2015-06-19 Mayya Zhilova

We present a new robust bootstrap method for a test when there is a nuisance parameter under the alternative, and some parameters are possibly weakly or non-identified. We focus on a Bierens (1990)-type conditional moment test of omitted…

Statistics Theory · Mathematics 2020-03-27 Jonathan B. Hill

The existing theory of penalized quantile regression for longitudinal data has focused primarily on point estimation. In this work, we investigate statistical inference. We propose a wild residual bootstrap procedure and show that it is…

Econometrics · Economics 2022-05-10 Carlos Lamarche , Thomas Parker

We introduce a novel procedure to perform Bayesian non-parametric inference with right-censored data, the \emph{beta-Stacy bootstrap}. This approximates the posterior law of summaries of the survival distribution (e.g. the mean survival…

Methodology · Statistics 2021-11-17 Andrea Arfè , Pietro Muliere

We consider semiparametric transformation models, where after pre-estimation of a parametric transformation of the response the data are modeled by means of nonparametric regression. We suggest subsequent procedures for testing lack-of-fit…

Methodology · Statistics 2019-01-25 Nick Kloodt , Natalie Neumeyer

We propose a bootstrap-based test to detect a mean shift in a sequence of high-dimensional observations with unknown time-varying heteroscedasticity. The proposed test builds on the U-statistic based approach in Wang et al. (2022), targets…

Methodology · Statistics 2023-11-17 Teng Wu , Stanislav Volgushev , Xiaofeng Shao

We investigate the performance of model based bootstrap methods for constructing point-wise confidence intervals around the survival function with interval censored data. We show that bootstrapping from the nonparametric maximum likelihood…

Methodology · Statistics 2013-12-24 Bodhisattva Sen , Gongjun Xu
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