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In this article the package High-dimensional Metrics (\texttt{hdm}) is introduced. It is a collection of statistical methods for estimation and quantification of uncertainty in high-dimensional approximately sparse models. It focuses on…

Methodology · Statistics 2017-09-28 Victor Chernozhukov , Chris Hansen , Martin Spindler

Hubbard ladders are an important stepping stone to the physics of the two-dimensional Hubbard model. While many of their properties are accessible to numerical and analytical techniques, the question of whether weakly hole-doped Hubbard…

Strongly Correlated Electrons · Physics 2015-11-23 Michele Dolfi , Bela Bauer , Sebastian Keller , Matthias Troyer

Testing for a mediation effect is important in many disciplines, but is made difficult - even asymptotically - by the influence of nuisance parameters. Classical tests such as likelihood ratio (LR) and Wald (Sobel) tests have very poor…

Econometrics · Economics 2024-03-05 Grant Hillier , Kees Jan van Garderen , Noud van Giersbergen

We study the impact of weak identification in discrete choice models, and provide insights into the determinants of identification strength in these models. Using these insights, we propose a novel test that can consistently detect weak…

Econometrics · Economics 2021-01-21 David T. Frazier , Eric Renault , Lina Zhang , Xueyan Zhao

We propose a test of many zero parameter restrictions in a high dimensional linear iid regression model with $k$ $>>$ $n$ regressors. The test statistic is formed by estimating key parameters one at a time based on many low dimension…

Statistics Theory · Mathematics 2023-12-12 Jonathan B. Hill

Since the two seminal papers by Fisher (1915, 1921) were published, the test under a fixed value correlation coefficient null hypothesis for the bivariate normal distribution constitutes an important statistical problem. In the framework of…

Statistics Theory · Mathematics 2022-09-27 María Jaenada , Elena Castilla , Nirian Martín , Leandro Pardo

Spatial regression is widely used for modeling the relationship between a dependent variable and explanatory covariates. Oftentimes, the linear relationships vary across space, when some covariates have location-specific effects on the…

Methodology · Statistics 2020-12-18 Xin Wang , Zhengyuan Zhu , Hao Helen Zhang

This paper studies hypothesis testing and parameter estimation in the context of the divide and conquer algorithm. In a unified likelihood based framework, we propose new test statistics and point estimators obtained by aggregating various…

Statistics Theory · Mathematics 2015-09-21 Heather Battey , Jianqing Fan , Han Liu , Junwei Lu , Ziwei Zhu

We consider the change-point detection in multivariate continuous and integer valued time series. We propose a Wald-type statistic based on the estimator performed by a general contrast function; which can be constructed from the…

Statistics Theory · Mathematics 2021-04-29 Mamadou Lamine Diop , William Kengne

In the research on checking whether the underlying model is of parametric single-index structure with outliers in observations, the purpose of this paper is two-fold. First, a test that is robust against outliers is suggested. The Hampel's…

Methodology · Statistics 2015-10-13 Cuizhen Niu , Lixing Zhu

Statistical dependence between hypotheses poses a significant challenge to the stability of large scale multiple hypotheses testing. Ignoring it often results in an unacceptably large spread in the false positive proportion even though the…

Methodology · Statistics 2018-10-15 Sairam Rayaprolu , Zhiyi Chi

We present the expected values from p-value hacking as a choice of the minimum p-value among $m$ independents tests, which can be considerably lower than the "true" p-value, even with a single trial, owing to the extreme skewness of the…

Applications · Statistics 2018-01-29 Nassim Nicholas Taleb

High-dimensional sparse modeling via regularization provides a powerful tool for analyzing large-scale data sets and obtaining meaningful, interpretable models. The use of nonconvex penalty functions shows advantage in selecting important…

Methodology · Statistics 2016-05-12 Zemin Zheng , Yingying Fan , Jinchi Lv

In this article, we study the hypothesis testing of the blip / net effects of treatments in a treatment sequence. We illustrate that the likelihood ratio test and the score test may suffer from the curse of dimensionality, the null paradox…

Methodology · Statistics 2020-02-04 Xiaoqin Wang , Li Yin

For general repeated measures designs the Wald-type statistic (WTS) is an asymptotically valid procedure allowing for unequal covariance matrices and possibly non-normal multivariate observations. The drawback of this procedure is the poor…

Methodology · Statistics 2016-06-24 Sarah Friedrich , Edgar Brunner , Markus Pauly

Sufficient dimension reduction reduces the dimensionality of data while preserving relevant regression information. In this article, we develop Minimum Average Deviance Estimation (MADE) methodology for sufficient dimension reduction. It…

Methodology · Statistics 2024-01-19 Kofi P. Adragni , Andrew M. Raim , Elias Al-Najjar

We address the issue of performing testing inference in generalized linear models when the sample size is small. This class of models provides a straightforward way of modeling normal and non-normal data and has been widely used in several…

Methodology · Statistics 2013-08-16 Tiago M. Vargas , Silvia L. P. Ferrari , Artur J. Lemonte

This paper studies inference for the local average treatment effect in randomized controlled trials with imperfect compliance where treatment status is determined according to "matched pairs." By "matched pairs," we mean that units are…

Econometrics · Economics 2024-06-28 Yuehao Bai , Hongchang Guo , Azeem M. Shaikh , Max Tabord-Meehan

High-dimensional linear regression has been thoroughly studied in the context of independent and identically distributed data. We propose to investigate high-dimensional regression models for independent but non-identically distributed…

Statistics Theory · Mathematics 2026-05-20 Jérémie Bigot , Issa-Mbenard Dabo , Camille Male

Factorial designs are widely used due to their ability to accommodate multiple factors simultaneously. The factor-based regression with main effects and some interactions is the dominant strategy for downstream data analysis, delivering…

Methodology · Statistics 2021-12-09 Anqi Zhao , Peng Ding
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