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This perspective chapter briefly surveys: (1) past growth in the use of Bayesian methods in astrophysics; (2) current misconceptions about both frequentist and Bayesian statistical inference that hinder wider adoption of Bayesian methods by…

天体物理仪器与方法 · 物理学 2016-12-07 Thomas J. Loredo

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…

Cameron {\it et al.}~2019 (hereafter C19) recommends a more cautious and rigorous approach to statistical analysis in astronomy. We welcome this particular side of their communication as it helps stimulating the effort towards the adoption…

星系天体物理 · 物理学 2020-02-11 Davi C. Rodrigues , Valerio Marra , Antonino Del Popolo , Zahra Davari

In Templeton (2010), the Approximate Bayesian Computation (ABC) algorithm (see, e.g., Pritchard et al., 1999, Beaumont et al., 2002, Marjoram et al., 2003, Ratmann et al., 2009) is criticised on mathematical and logical grounds: "the…

统计方法学 · 统计学 2010-06-22 Christian P. Robert

In the last two decades, Bayesian inference has become commonplace in astronomy. At the same time, the choice of algorithms, terminology, notation, and interpretation of Bayesian inference varies from one sub-field of astronomy to the next,…

This paper discusses the dual interpretation of the Jeffreys--Lindley's paradox associated with Bayesian posterior probabilities and Bayes factors, both as a differentiation between frequentist and Bayesian statistics and as a pointer to…

统计方法学 · 统计学 2013-12-02 Christian Robert

In their "How proper are Bayesian models in the astronomical literature?" [arXiv:1712.03549], Hyungsuk Tak, Sujit K. Ghosh and Justin A. Ellis criticised my work with false statements. This is an infamous case of straw man fallacy. They…

天体物理仪器与方法 · 物理学 2017-12-15 Mauro Sereno

The aim of this paper, triggered by some discussions in the astrophysics community raised by astro-ph/0508529, is to introduce the issue of `fits' from a probabilistic perspective (also known as Bayesian), with special attention to the…

数据分析、统计与概率 · 物理学 2007-05-23 G. D'Agostini

In a Perspectives article in Science, Bradley Efron concludes that Bayesian calculations cannot be uncritically accepted when using uninformative priors. We argue that this conclusion is problematic because Efron's example does not use…

统计理论 · 数学 2013-08-05 Valentin Amrhein , Tobias Roth , Fraenzi Korner-Nievergelt

This is a summary of the `Astronomy Perspective' of the 4th meeting on 'Statistical Challenges in Modern Astronomy' held at Penn State University in June 2006. We comment on trends in the Astronomy community towards Bayesian methods and…

天体物理学 · 物理学 2007-05-23 Ofer Lahav

We present a Bayesian method for the identification and classification of objects from sets of astronomical catalogs, given a predefined classification scheme. Identification refers here to the association of entries in different catalogs…

天体物理仪器与方法 · 物理学 2015-06-15 Jörg P. Rachen

This note is an extended review of the book Error and Inference, edited by Deborah Mayo and Aris Spanos, about their frequentist and philosophical perspective on testing of hypothesis and on the criticisms of alternatives like the Bayesian…

统计方法学 · 统计学 2011-11-28 Christian P. Robert

We are pleased to present a Special Section on Statistics and Astronomy in this issue of the The Annals of Applied Statistics. Astronomy is an observational rather than experimental science; as a result, astronomical data sets both small…

应用统计 · 统计学 2009-05-15 Thomas J. Loredo , John Rice , Michael L. Stein

This paper is an invited commentary on Tamas Budavari's presentation, "On statistical cross-identification in astronomy," for the Statistical Challenges in Modern Astronomy V conference held at Pennsylvania State University in June 2011. I…

天体物理仪器与方法 · 物理学 2012-06-20 Thomas J. Loredo

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

Bayesian Inference is a powerful approach to data analysis that is based almost entirely on probability theory. In this approach, probabilities model {\it uncertainty} rather than randomness or variability. This thesis is composed of a…

天体物理学 · 物理学 2008-09-08 Brendon J. Brewer

I now agree with conclusion of author that there is a problem with unitarity in discussed models.

高能物理 - 理论 · 物理学 2008-02-03 Paul Federbush

Equivariant models leverage prior knowledge on symmetries to improve predictive performance, but misspecified architectural constraints can harm it instead. While work has explored learning or relaxing constraints, selecting among…

机器学习 · 计算机科学 2025-07-16 Putri A. van der Linden , Alexander Timans , Dharmesh Tailor , Erik J. Bekkers

Recently, several researchers have claimed that conclusions obtained from a Bayes factor (or the posterior odds) may contradict those obtained from Bayesian posterior estimation. In this short paper, we wish to point out that no such…

统计理论 · 数学 2022-10-24 Harlan Campbell , Paul Gustafson

The present article is the reply to the discussion of our earlier "Not only defended but also applied" (arXiv:1006.5366, to appear in The American Statistician) that arose from our memory of a particularly intemperate anti-Bayesian…

其他统计学 · 统计学 2012-10-29 Andrew Gelman , Christian P. Robert
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