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Recent decades have seen an interest in prediction problems for which Bayesian methodology has been used ubiquitously. Sampling from or approximating the posterior predictive distribution in a Bayesian model allows one to make inferential…

Machine Learning · Statistics 2017-09-12 Giri Gopalan

We provide a brief overview of both Bayes and classical model selection. We argue tentatively that model selection has at least two major goals, that of finding the correct model or predicting well, and that in general both these goals may…

Statistics Theory · Mathematics 2015-10-05 Ritabrata Dutta , Malgortaza Bogdan , Jayanta K. Ghosh

We consider the problem of choosing between parametric models for a discrete observable, taking a Bayesian approach in which the within-model prior distributions are allowed to be improper. In order to avoid the ambiguity in the marginal…

Statistics Theory · Mathematics 2020-04-28 A. Philip Dawid , Monica Musio , Silvia Columbu

We review some of the common methods for model selection: the goodness of fit, the likelihood ratio test, Bayesian model selection using Bayes factors, and the classical as well as the Bayesian information theoretic approaches. We…

Cosmology and Nongalactic Astrophysics · Physics 2019-07-02 Martin Kerscher , Jochen Weller

This paper presents a Bayesian inference framework for a linear index threshold-crossing binary choice model that satisfies a median independence restriction. The key idea is that the model is observationally equivalent to a probit model…

Econometrics · Economics 2024-10-23 Christopher D. Walker

We present a discussion of the paper "Bayesian cluster analysis: point estimation and credible balls" by Wade and Ghahramani. We believe that this paper contributes substantially to the literature on Bayesian clustering by filling in an…

Methodology · Statistics 2018-04-10 Nial Friel , Riccardo Rastelli

We reply to a comment of Van Enter, Kuelske and Maes (cond-mat/0005176) on our letter "Critical Behavior of the Randomly Spin-Diluted 2-d Ising Model - A Grand Ensemble Approach", Phys. Rev. Lett. {\bf 73}, 2268-2271 (1994).

Statistical Mechanics · Physics 2009-10-31 Reimer Kuehn , Giorgio Mazzeo

This article is an invited discussion of the article by Gronau and Wagenmakers (2018) that can be found at https://dx.doi.org/10.1007/s42113-018-0011-7.

Methodology · Statistics 2018-10-15 Aki Vehtari , Daniel P. Simpson , Yuling Yao , Andrew Gelman

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…

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

I generalize a theorem of Predd, et al.~(2009) on domination and strictly proper scoring rules to the case of non-additive scoring rules.

Probability · Mathematics 2026-04-27 Alexander Pruss

Discussion of "Impact of Frequentist and Bayesian Methods on Survey Sampling Practice: A Selective Appraisal" by J. N. K. Rao [arXiv:1108.2356]

Methodology · Statistics 2011-08-22 Eric Slud

Discussion of "Impact of Frequentist and Bayesian Methods on Survey Sampling Practice: A Selective Appraisal" by J. N. K. Rao [arXiv:1108.2356]

Methodology · Statistics 2011-08-22 Glen Meeden

The authors are doing the readers of Statistical Science a true service with a well-written and up-to-date overview of boosting that originated with the seminal algorithms of Freund and Schapire. Equally, we are grateful for high-level…

Methodology · Statistics 2008-12-18 Andreas Buja , David Mease , Abraham J. Wyner

The article considers the Choice Axiom.

General Mathematics · Mathematics 2008-07-22 John M. Noble

We consider a context-dependent ranking and selection problem. The best design is not universal but depends on the contexts. Under a Bayesian framework, we develop a dynamic sampling scheme for context-dependent optimization (DSCO) to…

Methodology · Statistics 2020-12-21 Haidong Li , Henry Lam , Zhe Liang , Yijie Peng

We extend the heuristic discussion in Senn (2008) on the bias from selective inference for the treatment selection problem (Dawid 1994), by deriving the closed-form expression for the selection bias. We illustrate the advantages of our…

Statistics Theory · Mathematics 2016-06-10 Jiannan Lu , Alex Deng

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

Methodology · Statistics 2017-01-23 Björn Görder , Michael Kolonko

This chapter provides a overview of Bayesian inference, mostly emphasising that it is a universal method for summarising uncertainty and making estimates and predictions using probability statements conditional on observed data and an…

Methodology · Statistics 2010-02-11 Christian P. Robert , Jean-Michel Marin , Judith Rousseau