English
Related papers

Related papers: Inference under random limit bootstrap measures

200 papers

This paper develops bootstrap procedures for inference in linear regression models with two-way clustered data. We characterize the estimator's asymptotic behavior in five mutually exclusive and exhaustive regimes: three Gaussian and two…

Statistics Theory · Mathematics 2026-05-04 Ulrich Hounyo , Jiahao Lin

We propose a general method to carry out a valid Bayesian analysis of a finite-dimensional `targeted' parameter in the presence of a finite-dimensional nuisance parameter. We apply our methods to causal inference based on estimating…

Methodology · Statistics 2026-02-03 Magid Sabbagh , David A. Stephens

This paper establishes a necessary and sufficient condition for the asymptotic normality of the nonparametric estimator of sample coverage proposed by Good [Biometrica 40 (1953) 237--264]. This new necessary and sufficient condition extends…

Statistics Theory · Mathematics 2009-08-25 Cun-Hui Zhang , Zhiyi Zhang

Logistic regression is widely used to model the propensity score in the analysis of nonignorable missing data. However, goodness-of-fit testing for this propensity score model has received limited attention in the literature. In this paper,…

Methodology · Statistics 2026-04-24 Manli Cheng , Yangjianchen Xu , Qinglong Tian , Pengfei Li

A model-free bootstrap procedure for a general class of stationary time series is introduced. The theoretical framework is established, showing asymptotic validity of bootstrap confidence intervals for many statistics of interest. In…

Statistics Theory · Mathematics 2020-01-01 Yiren Wang , Dimitris N. Politis

Mack's distribution-free chain ladder reserving model belongs to the most popular approaches in non-life insurance mathematics. Proposed to determine the first two moments of the reserve, it does not allow to identify the whole distribution…

Statistics Theory · Mathematics 2023-03-13 Julia Steinmetz , Carsten Jentsch

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 -…

Statistics Theory · Mathematics 2020-08-24 Alexis Derumigny , Jean-David Fermanian

This paper develops a method to construct uniform confidence bands for a nonparametric regression function where a predictor variable is subject to a measurement error. We allow for the distribution of the measurement error to be unknown,…

Statistics Theory · Mathematics 2019-06-17 Kengo Kato , Yuya Sasaki

Subsampling and block-based bootstrap methods have been used in a wide range of inference problems for time series. To accommodate the dependence, these resampling methods involve a bandwidth parameter, such as subsampling window width and…

Statistics Theory · Mathematics 2012-04-05 Xiaofeng Shao , Dimitris N. Politis

A key feature of a sequential study is that the actual sample size is a random variable that typically depends on the outcomes collected. While hypothesis testing theory for sequential designs is well established, parameter and precision…

Statistics Theory · Mathematics 2017-12-21 Ben Berckmoes , Geert Molenberghs

Case-control sampling is a commonly used retrospective sampling design to alleviate imbalanced structure of binary data. When fitting the logistic regression model with case-control data, although the slope parameter of the model can be…

Methodology · Statistics 2024-06-03 Hengchao Shi , Xinyi Liu , Ming Zheng , Wen Yu

For a partial structural change in a linear regression model with a single break, we develop a continuous record asymptotic framework to build inference methods for the break date. We have T observations with a sampling frequency h over a…

Statistics Theory · Mathematics 2021-11-16 Alessandro Casini , Pierre Perron

Symbolic transfer entropy is a powerful non-parametric tool to detect lead-lag between time series. Because a closed expression of the distribution of Transfer Entropy is not known for finite-size samples, statistical testing is often…

Statistical Finance · Quantitative Finance 2022-06-22 Christian Bongiorno , Damien Challet

Linear mixed effects are considered excellent predictors of cluster-level parameters in various domains. However, previous work has shown that their performance can be seriously affected by departures from modelling assumptions. Since the…

Methodology · Statistics 2022-07-27 Katarzyna Reluga , Stefan Sperlich

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

Statistical inference in competing risks models is often based on the famous Aalen-Johansen estimator. Since the corresponding limit process lacks independent increments, it is typically applied together with Lin's (1997) resampling…

Statistics Theory · Mathematics 2014-01-31 Dennis Dobler , Markus Pauly

Double/debiased machine learning (DML) provides a general framework for inference with high-dimensional or otherwise complex nuisance parameters by combining Neyman-orthogonal scores with cross-fitting, thereby circumventing classical…

Statistics Theory · Mathematics 2026-04-21 Ziming Lin , Fang Han

AI/ML methods are increasingly used in economics to generate binary variables (or labels) via classification algorithms. When these generated variables are included as covariates in regressions, even small misclassification errors can…

Econometrics · Economics 2026-04-28 Timothy Christensen , Silvia Goncalves , Benoit Perron

Split-Plot or Repeated Measures Designs with multiple groups occur naturally in sciences. Their analysis is usually based on the classical Repeated Measures ANOVA. Roughly speaking, the latter can be shown to be asymptotically valid for…

Statistics Theory · Mathematics 2020-03-11 Paavo Sattler

The aim of this article is to establish asymptotic distributions and consistency of subsampling for spectral density and for magnitude of coherence for non-stationary, almost periodically correlated time series. We show the asymptotic…

Statistics Theory · Mathematics 2011-02-11 Łukasz Lenart