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This article proposes an online bootstrap scheme for nonparametric level estimation in nonstationary time series. Our approach applies to a broad class of level estimators expressible as weighted sample averages over time windows, including…

Methodology · Statistics 2026-03-02 Thomas Nagler , Tobias Brock , Nicolai Palm

A multiplier bootstrap procedure for construction of likelihood-based confidence sets is considered for finite samples and a possible model misspecification. Theoretical results justify the bootstrap validity for a small or moderate sample…

Statistics Theory · Mathematics 2015-11-18 Vladimir Spokoiny , Mayya Zhilova

We introduce tests for the goodness of fit of point patterns via methods from topological data analysis. More precisely, the persistent Betti numbers give rise to a bivariate functional summary statistic for observed point patterns that is…

Statistics Theory · Mathematics 2019-06-19 Christophe Ange Napoléon Biscio , Nicolas Chenavier , Christian Hirsch , Anne Marie Svane

We consider the problem of finding confidence intervals for the risk of forecasting the future of a stationary, ergodic stochastic process, using a model estimated from the past of the process. We show that a bootstrap procedure provides…

Statistics Theory · Mathematics 2017-12-01 Robert Lunde , Cosma Rohilla Shalizi

We construct bootstrap confidence intervals for a monotone regression function. It has been shown that the ordinary nonparametric bootstrap, based on the nonparametric least squares estimator (LSE) $\hat f_n$ is inconsistent in this…

Statistics Theory · Mathematics 2023-05-24 Piet Groeneboom , Geurt Jongbloed

Encrypted dynamic controllers that operate for an unlimited time have been a challenging subject of research. The fundamental difficulty is the accumulation of errors and scaling factors in the internal state during operation.…

Systems and Control · Electrical Eng. & Systems 2024-03-28 Sebastian Schlor , Frank Allgöwer

The block bootstrap approximates sampling distributions from dependent data by resampling data blocks. A fundamental problem is establishing its consistency for the distribution of a sample mean, as a prototypical statistic. We use a…

Statistics Theory · Mathematics 2017-06-23 Johannes Tewes , Daniel J. Nordman , Dimitris N. Politis

We propose a methodology for constructing confidence regions with partially identified models of general form. The region is obtained by inverting a test of internal consistency of the econometric structure. We develop a dilation bootstrap…

Econometrics · Economics 2021-02-10 Alfred Galichon , Marc Henry

We propose a new method to construct confidence intervals for quantities that are associated with a stationary time series, which avoids direct estimation of the asymptotic variances. Unlike the existing tuning-parameter-dependent…

Methodology · Statistics 2010-05-13 Xiaofeng Shao

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

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…

Statistics Theory · Mathematics 2009-11-20 Peter Hall , Hugh Miller

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 construction of confidence regions for parameter vectors is a difficult problem in the nonparametric setting, particularly when the sample size is not large. The bootstrap has shown promise in solving this problem, but empirical…

Methodology · Statistics 2013-11-01 Santu Ghosh , Alan M. Polansky

In pharmaceutical and toxicological research, historical control data are increasingly used to validate concurrent control groups, typically via the construction of historical control limits. While methods have been described for continuous…

Methodology · Statistics 2026-03-24 Sören Budig , Frank Schaarschmidt , Max Menssen

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…

Statistics Theory · Mathematics 2021-01-06 Mikkel Bennedsen , Ulrich Hounyo , Asger Lunde , Mikko S. Pakkanen

To use control charts in practice, the in-control state usually has to be estimated. This estimation has a detrimental effect on the performance of control charts, which is often measured for example by the false alarm probability or the…

Methodology · Statistics 2013-07-30 Axel Gandy , Jan Terje Kvaløy

Despite their deterministic nature, dynamical systems often exhibit seemingly random behaviour. Consequently, a dynamical system is usually represented by a probabilistic model of which the unknown parameters must be estimated using…

Dynamical Systems · Mathematics 2021-08-20 Kasun Fernando , Nan Zou

In assessing prediction accuracy of multivariable prediction models, optimism corrections are essential for preventing biased results. However, in most published papers of clinical prediction models, the point estimates of the prediction…

We introduce and evaluate a new class of hypothesis testing procedures for moment structures. The methods are valid under weak assumptions and includes the well-known Satorra-Bentler adjustment as a special case. The proposed procedures…

Statistics Theory · Mathematics 2016-10-10 Steffen Grønneberg , Njål Foldnes

In an earlier paper Rakonczai et al. (2014), we have emphasized the effective sample size for autocorrelated data. The simulations were based on the block bootstrap methodology. However, the discreteness of the usual block size did not…

Statistics Theory · Mathematics 2016-06-02 László Varga , András Zempléni
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