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This paper has been withdrawn. With the advancement of statistical theory and computing power, data sets are providing a greater amount of insight into the problems of today. Statisticians have an ever increasing number of tools to attack…

统计理论 · 数学 2012-12-20 Derek S. Young

The use of Bayesian information criterion (BIC) in the model selection procedure is under the assumption that the observations are independent and identically distributed (i.i.d.). However, in practice, we do not always have i.i.d. samples.…

应用统计 · 统计学 2021-05-03 Nan Shen , Bárbara González

Bayesian model averaging is a practical method for dealing with uncertainty due to model specification. Use of this technique requires the estimation of model probability weights. In this work, we revisit the derivation of estimators for…

统计方法学 · 统计学 2024-02-05 Ethan T. Neil , Jacob W. Sitison

This note discusses the paper "Penalising model component complexity" by Simpson et al. (2017). While we acknowledge the highly novel approach to prior construction and commend the authors for setting new-encompassing principles that will…

统计方法学 · 统计学 2016-09-23 Christian P. Robert , Judith Rousseau

This is a writeup of lectures on "statistics" that have evolved from the initial version for the 2009 Hadron Collider Physics Summer School at CERN to versions for other venues and, most recently, for the African School of Fundamental…

数据分析、统计与概率 · 物理学 2024-06-27 Robert D. Cousins

These are remarks (mainly on the solar neutrinos) written in anticipation of 1996 - the year which can be crucial for the neutrino physics. Recent results on solar neutrinos are discussed. The topics include: (solar) model independent…

高能物理 - 唯象学 · 物理学 2007-05-23 A. Yu. Smirnov

Opinion Dynamics lacks a theoretical basis. In this article, I propose to use a decision-theoretic framework, based on the updating of subjective probabilities, as that basis. We will see we get a basic tool for a better understanding of…

物理与社会 · 物理学 2012-11-21 Andre C. R. Martins

This paper introduces a new approach to the study of rates of convergence for posterior distributions. It is a natural extension of a recent approach to the study of Bayesian consistency. In particular, we improve on current rates of…

统计理论 · 数学 2007-08-22 Stephen G. Walker , Antonio Lijoi , Igor Prünster

We present a novel framework for concomitant dimension reduction and clustering. This framework is based on a novel class of Bayesian clustering factor models. These models assume a factor model structure where the vectors of common factors…

统计方法学 · 统计学 2025-05-09 Hwasoo Shin , Marco A. R. Ferreira , Allison N. Tegge

The task of clustering a set of objects based on multiple sources of data arises in several modern applications. We propose an integrative statistical model that permits a separate clustering of the objects for each data source. These…

机器学习 · 统计学 2015-12-01 Eric F. Lock , David B. Dunson

This introduction to Bayesian statistics presents the main concepts as well as the principal reasons advocated in favour of a Bayesian modelling. We cover the various approaches to prior determination as well as the basis asymptotic…

统计方法学 · 统计学 2010-02-09 Christian P. Robert , Judith Rousseau

In astro-ph/0702542v2, Linder and Miquel seek to criticize the use of Bayesian model selection for data analysis and for survey forecasting and design. Their discussion is based on three serious misunderstandings of the conceptual…

We wish to contribute to the discussion of "Comparing Consensus Monte Carlo Strategies for Distributed Bayesian Computation" by offering our views on the current best methods for Bayesian computation, both at big-data scale and with smaller…

统计计算 · 统计学 2017-12-15 David Draper , Alexander Terenin

Bayesian Model Averaging (BMA) is an application of Bayesian inference to the problems of model selection, combined estimation and prediction that produces a straightforward model choice criteria and less risky predictions. However, the…

统计方法学 · 统计学 2017-11-08 Tiago M. Fragoso , Francisco Louzada Neto

Our comment on Garc\'ia-Donato et al. (2025). "Model uncertainty and missing data: An objective Bayesian perspective" explores a further extension of the proposed methodology. Specifically, we consider the sequential setting where…

统计方法学 · 统计学 2025-10-01 Sebastian Arnold , Alexander Ly

The authors discuss information-based complexity theory, which is a model of finite-precision computations with real numbers, and its applications to numerical analysis.

数值分析 · 数学 2008-02-03 J. F. Traub , Henryk Woźniakowski

Statistical modeling can involve a tension between assumptions and statistical identification. The law of the observable data may not uniquely determine the value of a target parameter without invoking a key assumption, and, while…

统计方法学 · 统计学 2022-12-06 Paul Gustafson

We consider the specification of prior distributions for Bayesian model comparison, focusing on regression-type models. We propose a particular joint specification of the prior distribution across models so that sensitivity of posterior…

统计方法学 · 统计学 2012-07-25 Petros Dellaportas , Jonathan J. Forster , Ioannis Ntzoufras

Many of you reading these words will have been attracted by the discussion paper [McShane and Wyner (2011)], in which case, this may be the first, but hopefully not the last, time you will have read anything in a statistics journal. I would…

应用统计 · 统计学 2011-04-15 Michael L. Stein

Discussion of "Statistical Inference: The Big Picture" by R. E. Kass [arXiv:1106.2895]

统计方法学 · 统计学 2011-06-17 Andrew Gelman