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High dimensional hypothesis test deals with models in which the number of parameters is significantly larger than the sample size. Existing literature develops a variety of individual tests. Some of them are sensitive to the dense and small…

Statistics Theory · Mathematics 2018-08-09 Cheng Zhou , Xinsheng Zhang , Wenxin Zhou , Han Liu

We give a definition of higher dimensional iterated integrals based on integration over membranes. We prove basic properties of this definition and formulate a conjecture which extends Chen's de Rham Theorem for iterated integrals to the…

Differential Geometry · Mathematics 2012-03-19 Anton Deitmar , Ivan Horozov

This work proposes a bootstrapping with positivity methodology to study random $U(N)^{D}$ invariant tensors in the large $N$ limit. As has been done for $U(N)$ invariant random matrices, we combine the Dyson-Schwinger equations and…

High Energy Physics - Theory · Physics 2026-04-22 Nathan Pagliaroli , Carlos I. Pérez-Sánchez , Brayden Smith

Resampling methods such as the bootstrap have proven invaluable in the field of machine learning. However, the applicability of traditional bootstrap methods is limited when dealing with large streams of dependent data, such as time series…

Machine Learning · Statistics 2024-02-28 Nicolai Palm , Thomas Nagler

Uncertainty quantification for estimation through stochastic optimization solutions in an online setting has gained popularity recently. This paper introduces a novel inference method focused on constructing confidence intervals with…

Machine Learning · Statistics 2026-03-24 Wanrong Zhu , Zhipeng Lou , Ziyang Wei , Wei Biao Wu

We briefly discuss some interesting questions related to the paper "Hypotheses testing by convex optimization" by Goldenshluger, Juditsky and Nemirovski.

Statistics Theory · Mathematics 2015-08-11 Arnak S. Dalalyan

For discrete-valued time series, predictive inference cannot be implemented through the construction of prediction intervals to some predetermined coverage level, as this is the case for real-valued time series. To address this problem, we…

Methodology · Statistics 2025-07-23 Maxime Faymonville , Carsten Jentsch , Efstathios Paparoditis

We develop and implement a novel fast bootstrap for dependent data. Our scheme is based on the i.i.d. resampling of the smoothed moment indicators. We characterize the class of parametric and semi-parametric estimation problems for which…

Methodology · Statistics 2022-01-19 Davide La Vecchia , Alban Moor , Olivier Scaillet

Efron [J. Roy. Statist. Soc. Ser. B 54 (1992) 83--111] proposed a computationally efficient method, called the jackknife-after-bootstrap, for estimating the variance of a bootstrap estimator for independent data. For dependent data, a…

Statistics Theory · Mathematics 2007-06-13 S. N. Lahiri

We offer o reply for the comments of Rapisarda et al. cond-mat/0601409 on our letter "Entropy of Classical Systems with Long Range Interactios", published in Phys. Rev. Lett. Vol 95 (2005) 190601.

Statistical Mechanics · Physics 2007-05-23 Tarcisio Marciano Rocha Filho , Annibal Figueiredo , Marco Antonio Amato

Much of the research on multiple comparison and simultaneous inference in the past sixty years or so has been for the comparisons of several population means. Spurrier (1999) seems to be the first to study the multiple comparison of several…

Methodology · Statistics 2020-05-21 Jianan Peng , Wei Liu , Frank Bretz , Anthony Hayter

There is an overwhelmingly large literature and algorithms already available on `large scale inference problems' based on different modeling techniques and cultures. Our primary goal in this paper is \emph{not to add one more new…

Statistics Theory · Mathematics 2017-04-03 Subhadeep Mukhopadhyay

Comment on "Approaching human language with complex networks" by Cong & Liu

Computation and Language · Computer Science 2020-09-24 Ramon Ferrer-i-Cancho

Comment on "New Mean-Field Theory of the tt't"J Model Applied to the High-Tc Superconductors" by T. C. Ribeiro and X.-G. Wen [cond-mat/0410750; Physical Review Letters 95, 057001 (2005)].

Strongly Correlated Electrons · Physics 2007-05-23 Alvaro Ferraz , Evgueny Kochetov , Bruno Uchoa

We comment the recent published article entitled "Temperature dependent fluctuations in the two-dimensional XY model", appeared in J. Phys. A: Math.Gen. 38 (2005) 5603.

Statistical Mechanics · Physics 2007-05-23 G. Palma

We apply the bootstrap technique to find the moments of certain multi-trace and multi-matrix random matrix models suggested by noncommutative geometry. Using bootstrapping we are able to find the relationships between the coupling constant…

High Energy Physics - Theory · Physics 2022-02-09 Hamed Hessam , Masoud Khalkhali , Nathan Pagliaroli

This technical report proves components consistency for the Doubly Stochastic Dirichlet Process with exponential convergence of posterior probability. We also present the fundamental properties for DSDP as well as inference algorithms.…

Information Theory · Computer Science 2016-05-25 Xing Sun , Nelson H. C. Yung , Edmund Y. Lam , Hayden K. -H. So

This comment points out a serious flaw in the article "Gouri\'eroux, Monfort, Renne (2019): Identification and Estimation in Non-Fundamental Structural VARMA Models" with regard to mirroring complex-valued roots with Blaschke polynomial…

Econometrics · Economics 2020-10-07 Bernd Funovits

We respond to comments on our paper, titled "Instrumental variable estimation of the causal hazard ratio."

Methodology · Statistics 2022-10-26 Linbo Wang , Eric Tchetgen Tchetgen , Torben Martinussen , Stijn Vansteelandt

This is a Comment on the Article ``Aging, phase ordering and conformal invariance'' by M.Henkel, M.Pleimling, C.Godr\`eche and J.M.Luck [Phys.Rev.Lett. 87, 265701 (2001)].

Statistical Mechanics · Physics 2009-11-07 Federico Corberi , Eugenio Lippiello , Marco Zannetti
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