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We discuss the fundamental issue of identification in linear instrumental variable (IV) models with unknown IV validity. With the assumption of the "sparsest rule", which is equivalent to the plurality rule but becomes operational in…

统计方法学 · 统计学 2023-12-06 Yiqi Lin , Frank Windmeijer , Xinyuan Song , Qingliang Fan

Randomization tests are based on a re-randomization of existing data to gain data-dependent critical values that lead to exact hypothesis tests under special circumstances. However, it is not always possible to re-randomize data in…

统计理论 · 数学 2021-10-20 Dennis Dobler

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…

统计理论 · 数学 2012-04-05 Xiaofeng Shao , Dimitris N. Politis

Monitoring the integrity of elastic structures using ultrasonic waves requires the efficient identification of material parameters from measured surface displacements. The displacement field is governed by Cauchy's equation of motion, i.e.,…

数值分析 · 数学 2026-05-20 Benedikt Klein , Mario Ohlberger , Thomas Schuster

In an instrumental variable model, the score statistic can be bounded for any alternative in parts of the parameter space. These regions involve a constraint on the first-stage regression coefficients and the reduced-form covariance matrix.…

统计理论 · 数学 2021-09-13 Marcelo J. Moreira , Geert Ridder

Dimension reduction is often a preliminary step in the analysis of large data sets. The so-called non-Gaussian component analysis searches for a projection onto the non-Gaussian part of the data, and it is then important to know the correct…

统计理论 · 数学 2023-07-19 Klaus Nordhausen , Hannu Oja , David E. Tyler , Joni Virta

Classical asymptotic theory for statistical inference usually involves calibrating a statistic by fixing the dimension $d$ while letting the sample size $n$ increase to infinity. Recently, much effort has been dedicated towards…

统计理论 · 数学 2024-05-14 Ilmun Kim , Aaditya Ramdas

We propose an adjusted Wasserstein distributionally robust estimator -- based on a nonlinear transformation of the Wasserstein distributionally robust (WDRO) estimator in statistical learning. The classic WDRO estimator is asymptotically…

机器学习 · 统计学 2024-05-13 Yiling Xie , Xiaoming Huo

We consider the performance of the bootstrap in high-dimensions for the setting of linear regression, where $p<n$ but $p/n$ is not close to zero. We consider ordinary least-squares as well as robust regression methods and adopt a minimalist…

统计方法学 · 统计学 2016-08-03 Noureddine El Karoui , Elizabeth Purdom

Panel data of our interest consist of a moderate or relatively large number of panels, while the panels contain a small number of observations. This paper establishes testing procedures to detect a possible common change in means of the…

统计理论 · 数学 2016-08-07 Barbora Peštová , Michal Pešta

Nonparametric two-sample testing is a classical problem in inferential statistics. While modern two-sample tests, such as the edge count test and its variants, can handle multivariate and non-Euclidean data, contemporary gargantuan datasets…

统计方法学 · 统计学 2023-04-28 Trambak Banerjee , Bhaswar B. Bhattacharya , Gourab Mukherjee

Inverse Probability Weighting (IPW) is widely used in empirical work in economics and other disciplines. As Gaussian approximations perform poorly in the presence of "small denominators," trimming is routinely employed as a regularization…

计量经济学 · 经济学 2019-05-28 Xinwei Ma , Jingshen Wang

In this paper, we study nonparametric estimation of instrumental variable (IV) regressions. While recent advancements in machine learning have introduced flexible methods for IV estimation, they often encounter one or more of the following…

机器学习 · 计算机科学 2024-03-08 Zihao Li , Hui Lan , Vasilis Syrgkanis , Mengdi Wang , Masatoshi Uehara

Temporal dependence and the resulting autocovariances in time series data can introduce bias into ANOVA test statistics, thereby affecting their size and power. This manuscript accounts for temporal dependence in ANOVA and develops a test…

统计理论 · 数学 2025-09-12 Yunyi Zhang

Instrumental variables (IVs) are extensively used to estimate treatment effects when the treatment and outcome are confounded by unmeasured confounders; however, weak IVs are often encountered in empirical studies and may cause problems.…

统计方法学 · 统计学 2021-10-19 Siyu Heng , Bo Zhang , Xu Han , Scott A. Lorch , Dylan S. Small

Multivariable Mendelian randomization (MVMR) uses genetic variants as instrumental variables to infer the direct effects of multiple exposures on an outcome. However, unlike univariable Mendelian randomization, MVMR often faces greater…

统计方法学 · 统计学 2025-08-19 Yinxiang Wu , Hyunseung Kang , Ting Ye

We consider the problem of testing the mean of high-dimensional data when the dimension may grow without explicit rate restrictions relative to the sample size. The proposed procedure is based on the statistic V_n = n||Xn||^2, which avoids…

统计理论 · 数学 2026-05-18 Dietmar Ferger

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…

Standard methods, such as sequential procedures based on Johansen's (pseudo-)likelihood ratio (PLR) test, for determining the co-integration rank of a vector autoregressive (VAR) system of variables integrated of order one can be…

计量经济学 · 经济学 2022-02-08 H. Peter Boswijk , Giuseppe Cavaliere , Luca De Angelis , A. M. Robert Taylor

Reliable inference for spatial regression remains challenging because it requires the correct specification of the spatial dependence structure, the mean trend, and the error distribution. Existing parametric testing methods rely on…

统计方法学 · 统计学 2026-05-12 Kanghyun Wi , Hyoeun Kim , Tomáš Mrkvička , Jorge Mateu , Jaewoo Park