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Estimates of the approximate factor model are increasingly used in empirical work. Their theoretical properties, studied some twenty years ago, also laid the ground work for analysis on large dimensional panel data models with cross-section…

Econometrics · Economics 2020-08-04 Jushan Bai , Serena Ng

The paper by Alfons, Croux and Gelper (2013), Sparse least trimmed squares regression for analyzing high-dimensional large data sets, considered a combination of least trimmed squares (LTS) and lasso penalty for robust and sparse…

Applications · Statistics 2013-12-10 Yuao Hu , Ye Tian , Heng Lian

We correct a simple error in Percolation on random Johnson-Mehl tessellations and related models, Probability Theory and Related Fields 140 (2008), 417-468. (See also arXiv:math/0610716)

Probability · Mathematics 2010-02-08 Bela Bollobas , Oliver Riordan

Additive regression models are actively researched in the statistical field because of their usefulness in the analysis of responses determined by non-linear relationships with multivariate predictors. In this kind of statistical models,…

Methodology · Statistics 2018-04-10 German A. Schnaidt Grez , Brani Vidakovic

We propose an optimal estimating equation for logistic regression with linked data while accounting for false positives. It builds on a previous solution but estimates the regression coefficients with a smaller variance, in large samples.

Methodology · Statistics 2017-08-16 Jenkin Tsui , Abel Dasylva , Kenneth Chu

A recently proposed method (O. Miramontes, P. Rohani, Physica D 166 (2002) 147) for estimating the scaling exponent in very short time series may give wrong results, especially in case of undersampled data.

Statistical Mechanics · Physics 2007-05-23 P. F. Gora

A product relative error estimation method for single index regression model is proposed as an alternative to absolute error methods, such as the least square estimation and the least absolute deviation estimation. It is scale invariant for…

Methodology · Statistics 2016-12-12 Zhanfeng Wang , Zimu Chen , Yaohua Wu

We present an adaptation of two recent low-rank approximation technique proposed for first-order model reduction systems to the second-order systems. The resulting reduced order models are guaranteed to keep the second order structure which…

Dynamical Systems · Mathematics 2015-12-01 Younes Chahlaoui

A few iterations of alternating least squares with a random starting point provably suffice to produce nearly optimal spectral- and Frobenius-norm accuracies of low-rank approximations to a matrix; iterating to convergence is unnecessary.…

Numerical Analysis · Mathematics 2017-06-02 Arthur Szlam , Andrew Tulloch , Mark Tygert

Alternative approaches to Lebesgue integration are considered.

Functional Analysis · Mathematics 2007-05-23 Gyula Lakos

This note summarizes the steps to computing the best-fitting affine reflection that aligns two sets of corresponding points.

Graphics · Computer Science 2020-06-12 Alec Jacobson

This is a comment on "Universal Fluctuations in Correlated Systems", by Bramwell et al, Phys. Rev. Lett., 84, 3744 (2000.

Statistical Mechanics · Physics 2016-08-31 N. W. Watkins , S. C. Chapman , G. Rowlands

Brad Efron's paper [arXiv:0808.0572] has inspired a return to the ideas behind Bayes, frequency and empirical Bayes. The latter preferably would not be limited to exchangeable models for the data and hyperparameters. Parallels are revealed…

Methodology · Statistics 2008-08-06 Carl N. Morris

Corrigendum : An inverse problem in corrosion detection:stability estimates, J. Inv. Ill-posed Problems 12 (4) (2004), 349-367.

Analysis of PDEs · Mathematics 2017-03-30 Mourad Choulli

Discussion on "Regression by Composition" by Farewell, Daniel, Stensrud, and Huitfeldt.

Other Statistics · Statistics 2026-04-21 Ruixuan Zhao , Oliver Dukes , Linbo Wang , Lin Liu

In this note, the correction to the proof of one theorem in some our previous paper [arXiv:1302.0589] will be given.

Rings and Algebras · Mathematics 2020-02-18 Bui Xuan Hai

Introduction to papers on the modeling and analysis of network data---II

Applications · Statistics 2010-11-09 Stephen E. Fienberg

Reply to the Comment on "Unified Formulism of Andreev Reflection at a Ferromagnetic/Superconductor Interface" by Eschrig et al

Superconductivity · Physics 2013-02-12 T. Y. Chen , C. L. Chien

When a linear model is adjusted to control for additional explanatory variables the sign of a fitted coefficient may reverse. Here these reversals are studied using coefficients of determination. The resulting theory can be used to…

Methodology · Statistics 2015-03-11 Brian Knaeble , Seth Dutter

The elastic net combines lasso and ridge regression to fuse the sparsity property of lasso with the grouping property of ridge regression. The connections between ridge regression and gradient descent and between lasso and forward stagewise…

Methodology · Statistics 2023-10-27 Oskar Allerbo , Johan Jonasson , Rebecka Jörnsten
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