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For many decades, statisticians have made attempts to prepare the Bayesian omelette without breaking the Bayesian eggs; that is, to obtain probabilistic likelihood-based inferences without relying on informative prior distributions. A…

Methodology · Statistics 2011-11-08 Andrew Gelman , Christian P. Robert , Judith Rousseau

In recent years there has been significant progress in algorithms and methods for inducing Bayesian networks from data. However, in complex data analysis problems, we need to go beyond being satisfied with inducing networks with high…

Machine Learning · Computer Science 2013-01-30 Nir Friedman , Moises Goldszmidt , Abraham Wyner

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Grace L. Yang

Comment on ``The 2005 Neyman Lecture: Dynamic Indeterminism in Science'' [arXiv:0808.0620]

Methodology · Statistics 2008-08-06 Hans R. Künsch

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…

Computation · Statistics 2017-12-15 David Draper , Alexander Terenin

Bayesian statistics is concerned with conducting posterior inference for the unknown quantities in a given statistical model. Conventional Bayesian inference requires the specification of a probabilistic model for the observed data, and the…

Methodology · Statistics 2023-05-11 David T. Frazier , Christopher Drovandi , David J. Nott

Study of the bivariate normal distribution raises the full range of issues involving objective Bayesian inference, including the different types of objective priors (e.g., Jeffreys, invariant, reference, matching), the different modes of…

Statistics Theory · Mathematics 2008-12-18 James O. Berger , Dongchu Sun

This paper summarizes a presentation for a panel discussion on "The Future of Astrostatistics" held at the Statistical Challenges in Modern Astronomy V conference at Pennsylvania State University in June 2011. I argue that the emerging…

Instrumentation and Methods for Astrophysics · Physics 2016-08-25 Thomas J. Loredo

This article surveys computational methods for posterior inference with intractable likelihoods, that is where the likelihood function is unavailable in closed form, or where evaluation of the likelihood is infeasible. We review recent…

Computation · Statistics 2020-04-10 Matthew T. Moores , Anthony N. Pettitt , Kerrie Mengersen

We introduce priors and algorithms to perform Bayesian inference in Gaussian models defined by acyclic directed mixed graphs. Such a class of graphs, composed of directed and bi-directed edges, is a representation of conditional…

Methodology · Statistics 2012-07-02 Ricardo Silva , Zoubin Ghahramani

There have been a number of prior attempts to theoretically justify the effectiveness of the inverse document frequency (IDF). Those that take as their starting point Robertson and Sparck Jones's probabilistic model are based on strong or…

Information Retrieval · Computer Science 2007-05-23 Lillian Lee

This report introduces general ideas and some basic methods of the Bayesian probability theory applied to physics measurements. Our aim is to make the reader familiar, through examples rather than rigorous formalism, with concepts such as:…

Data Analysis, Statistics and Probability · Physics 2009-11-10 G. D'Agostini

Continuous time Bayesian networks are investigated with a special focus on their ability to express causality. A framework is presented for doing inference in these networks. The central contributions are a representation of the intensity…

Machine Learning · Statistics 2016-01-26 Jonas Hallgren , Timo Koski

This extended preface [to the Book `Bayesian Nonparametrics', Cambridge University Press, 2010, by NL Hjort, CC Holmes, P Mueller, SG Walker] is meant to explain why you are right to be curious about Bayesian nonparametrics -- why you may…

Methodology · Statistics 2026-05-22 Nils Lid Hjort , Chris Holmes , Peter Mueller , Stephen G. Walker

Lecture notes from the course given by Professor Sara A. Solla at the Les Houches summer school on "Statistical physics of Machine Learning". The notes discuss neural information processing through the lens of Statistical Physics. Contents…

Disordered Systems and Neural Networks · Physics 2023-10-02 Erin Grant , Sandra Nestler , Berfin Şimşek , Sara Solla

It has been argued by Daryl Bem in his 2011 paper that 8 out of 9 experiments yielded statistically significant results in favour of the psi effect. It is pointed out in this short communication that many of the results in the above…

Applications · Statistics 2011-07-06 Akhila Raman

Comment on ``Lancaster Probabilities and Gibbs Sampling'' [arXiv:0808.3852]

Methodology · Statistics 2008-08-29 Gérard Letac

Invited discussion on the paper "Hybrid Semiparametric Bayesian Networks" by David Atienza, Pedro Larranaga and Concha Bielza (TEST, 2022).

Methodology · Statistics 2022-11-16 Marco Scutari

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…

Instrumentation and Methods for Astrophysics · Physics 2012-06-20 Thomas J. Loredo

Discussion of "On the Birnbaum Argument for the Strong Likelihood Principle" by Deborah G. Mayo [arXiv:1302.7021].

Methodology · Statistics 2014-11-05 D. A. S. Fraser
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