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This note is concerned with an accurate and computationally efficient variational bayesian treatment of mixed-effects modelling. We focus on group studies, i.e. empirical studies that report multiple measurements acquired in multiple…

Machine Learning · Statistics 2019-03-22 Jean Daunizeau

We propose a new empirical Bayes approach for inference in the $p \gg n$ normal linear model. The novelty is the use of data in the prior in two ways, for centering and regularization. Under suitable sparsity assumptions, we establish a…

Statistics Theory · Mathematics 2018-12-06 Ryan Martin , Raymond Mess , Stephen G. Walker

Comment on "Support Vector Machines with Applications" [math.ST/0612817]

Statistics Theory · Mathematics 2007-06-13 Grace Wahba

Comment on "Support Vector Machines with Applications" [math.ST/0612817]

Statistics Theory · Mathematics 2007-06-13 Peter L. Bartlett , Michael I. Jordan , Jon D. McAuliffe

A note on "Bayesian nonparametric estimators derived from conditional Gibbs structures" by Antonio Lijoi, Igor Pr\"{u}nster, Stephen G. Walker [arXiv:0808.2863].

Probability · Mathematics 2014-01-17 Antonio Lijoi , Igor Prünster , Stephen G. Walker

Multi-level normal hierarchical models, also interpreted as mixed effects models, play an important role in developing statistical theory in multi-parameter estimation for a wide range of applications. In this article, we propose a novel…

Statistics Theory · Mathematics 2025-11-18 Aditi Sen , Masayo Y. Hirose , Partha Lahiri

Exponential random graph models (ERGMs) are a widely used framework for network data, enabling hypothesis testing on the structural mechanisms underlying observed networks. Bayesian ERGMs provide principled uncertainty quantification and…

Methodology · Statistics 2026-05-26 Alberto Caimo , Isabella Gollini

Comment on ``Support Vector Machines with Applications'' [math.ST/0612817]

Statistics Theory · Mathematics 2016-08-16 Olivier Bousquet , Bernhard Schölkopf

We develop an empirical Bayes procedure for estimating the cell means in an unbalanced, two-way additive model with fixed effects. We employ a hierarchical model, which reflects exchangeability of the effects within treatment and within…

Methodology · Statistics 2016-05-30 Lawrence D. Brown , Gourab Mukherjee , Asaf Weinstein

Empirical Bayes is a versatile approach to `learn from a lot' in two ways: first, from a large number of variables and second, from a potentially large amount of prior information, e.g. stored in public repositories. We review applications…

Methodology · Statistics 2018-03-19 Mark A. van de Wiel , Dennis E. te Beest , Magnus Münch

Invited Discussion of "A Unified Framework for De-Duplication and Population Size Estimation", published in Bayesian Analysis. My discussion focuses on two main themes: Providing a more nuanced picture of the costs and benefits of joint…

Methodology · Statistics 2020-09-02 Jared S. Murray

This is a Reply on the proceeding comment on our paper titled "Classical Simulations Including Electron Correlations for Sequential Double Ionization".

Atomic Physics · Physics 2013-10-30 Yueming Zhou , Cheng Huang , Qing Liao , Peixiang Lu

Discussion of ``One-step sparse estimates in nonconcave penalized likelihood models'' [arXiv:0808.1012]

Statistics Theory · Mathematics 2008-08-08 Cun-Hui Zhang

Discussion of ``One-step sparse estimates in nonconcave penalized likelihood models'' [arXiv:0808.1012]

Statistics Theory · Mathematics 2008-08-08 Peter Bühlmann , Lukas Meier

We derive randomization-based models for experiments with a chain of randomizations. The estimation theory for these models leads to formulae for the estimators of treatment effects, their standard errors, and expected mean squares in the…

Statistics Theory · Mathematics 2013-10-16 R. A. Bailey , C. J. Brien

Submitted to F. Schweitzer (ed.), Microscopic Models for Economic Dynamics, Lecture notes in physics, Springer, Berlin-Heidelberg 2002.kiel.tex

Statistical Mechanics · Physics 2016-08-31 E. Samanidou , E. Zschischang , D. Stauffer , T. Lux

Rejoinder of "Bayesian Models and Methods in Public Policy and Government Settings" by S. E. Fienberg [arXiv:1108.2177]

Methodology · Statistics 2011-08-22 Stephen E. Fienberg

Rejoinder to ``Least angle regression'' by Efron et al. [math.ST/0406456]

Statistics Theory · Mathematics 2007-06-13 Bradley Efron , Trevor Hastie , Iain Johnstone , Robert Tibshirani

This is about the paper by Thawhat Changphas and Nawamin Phaipong in Quasigroups and Related Systems 22 (2014), 193--200.

General Mathematics · Mathematics 2015-10-09 Niovi Kehayopulu

Comment: Monitoring Networked Applications With Incremental Quantile Estimation [arXiv:0708.0302]

Methodology · Statistics 2009-09-29 Bin Yu