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Motivated by the simultaneous association analysis with the presence of latent confounders, this paper studies the large-scale hypothesis testing problem for the high-dimensional confounded linear models with both non-asymptotic and…

Methodology · Statistics 2023-08-24 Yinrui Sun , Li Ma , Yin Xia

In this article, we present data-subsetting algorithms that allow for the approximate and scalable implementation of the Bayesian bootstrap. They are analogous to two existing algorithms in the frequentist literature: the bag of little…

Computation · Statistics 2019-03-25 Andrés F. Barrientos , Víctor Peña

Inference for functional linear models in the presence of heteroscedastic errors has received insufficient attention given its practical importance; in fact, even a central limit theorem has not been studied in this case. At issue,…

Statistics Theory · Mathematics 2024-05-27 Hyemin Yeon , Xiongtao Dai , Daniel John Nordman

The said paper [2] entitled "Proof Of Two Dimensional Jacobian Conjecture" is with gaps.

Rings and Algebras · Mathematics 2007-05-23 T. T. Moh

We comment on Z. D. Zhang's Response [arXiv:0812.2330] to our recent Comment [arXiv:0811.3876] addressing the conjectured solution of the three-dimensional Ising model reported in [arXiv:0705.1045].

Statistical Mechanics · Physics 2009-11-13 F. Y. Wu , B. M. McCoy , M. E. Fisher , L. Chayes

Due to the increasing availability of high-dimensional empirical applications in many research disciplines, valid simultaneous inference becomes more and more important. For instance, high-dimensional settings might arise in economic…

Econometrics · Economics 2018-09-14 Philipp Bach , Victor Chernozhukov , Martin Spindler

We consider bootstrap inference for estimators which are (asymptotically) biased. We show that, even when the bias term cannot be consistently estimated, valid inference can be obtained by proper implementations of the bootstrap.…

This paper deals with the Gaussian and bootstrap approximations to the distribution of the max statistic in high dimensions. This statistic takes the form of the maximum over components of the sum of independent random vectors and its…

Statistics Theory · Mathematics 2022-05-31 Victor Chernozhukov , Denis Chetverikov , Kengo Kato , Yuta Koike

We consider high-dimensional inference when the assumed linear model is misspecified. We describe some correct interpretations and corresponding sufficient assumptions for valid asymptotic inference of the model parameters, which still have…

Methodology · Statistics 2015-08-20 Peter Bühlmann , Sara van de Geer

A reply to the comment by S. Friedemann et al. [arXiv:1207.0536] on our article [Phys. Rev. Lett. 106, 137002 (2011), arXiv:1012.0303].

Strongly Correlated Electrons · Physics 2013-10-07 Andreas Hackl , Matthias Vojta

In this paper we develop statistical inference tools for high dimensional functional time series. We introduce a new concept of physical dependent processes in the space of square integrable functions, which adopts the idea of basis…

Statistics Theory · Mathematics 2020-03-16 Zhou Zhou , Holger Dette

Many modern estimators require bootstrapping to calculate confidence intervals because either no analytic standard error is available or the distribution of the parameter of interest is non-symmetric. It remains however unclear how to…

Methodology · Statistics 2018-09-13 Michael Schomaker , Christian Heumann

Seemingly unrelated regression models generalize linear regression models by considering multiple regression equations that are linked by contemporaneously correlated disturbances. Robust inference for seemingly unrelated regression models…

Methodology · Statistics 2018-05-15 Kris Peremans , Stefan Van Aelst

Comment on Article by Ferreira and Gamerman [arXiv:1509.03410].

Statistics Theory · Mathematics 2015-09-17 James V. Zidek

Comment on Article by Ferreira and Gamerman [arXiv:1509.03410].

Statistics Theory · Mathematics 2015-09-17 Michael Chipeta , Peter J. Diggle

In this paper, we address the problem of conducting statistical inference in settings involving large-scale data that may be high-dimensional and contaminated by outliers. The high volume and dimensionality of the data require distributed…

Machine Learning · Statistics 2022-11-30 Emadaldin Mozafari-Majd , Visa Koivunen

We respond to `Comments on the U(2) ADHM two-instanton' [Y. Tian, Phys. Lett. B 566 (2003) 183].

High Energy Physics - Theory · Physics 2007-05-23 N. B. Pomeroy

We comment on the paper "Teleportation with a uniformly accelerated partner" (quant-ph/0302179).

Quantum Physics · Physics 2007-05-23 Ralf Schützhold , William G. Unruh

Accurate statistical inference in logistic regression models remains a critical challenge when the ratio between the number of parameters and sample size is not negligible. This is because approximations based on either classical asymptotic…

Methodology · Statistics 2022-08-19 Qian Zhao , Emmanuel J. Candes

This paper presents a selective survey of recent developments in statistical inference and multiple testing for high-dimensional regression models, including linear and logistic regression. We examine the construction of confidence…

Methodology · Statistics 2023-01-26 T. Tony Cai , Zijian Guo , Yin Xia