Statistics for astrophysics

Bayesian methodology

Jean-Baptiste Marquette, Didier Fraix-Burnet, Stéphane Girard, Julyan Arbel

Parution le 19/09/2019

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Résumé

This book includes the lectures given during the third session of the School of Statistics for Astrophysics that took place at Autrans, near Grenoble, in France, in October 2017. The subject is Bayesian Methodology.The interest of this statistical approach in astrophysics probably comes from its necessity and its success in determining the cosmological parameters from observations, especially from the cosmic background luctuations. The cosmological community has thus been very active in this field for many years. But the Bayesian methodology, complementary to the more classical frequentist one, has many applications in physics in general due to its ability to incorporate a priori knowledge into inference, such as uncertainty brought by the observational processes. The Bayesian approach becomes more and more widespread in the astrophysical literature.This book contains statistics courses on basic to advanced methods with practical exercises using the R environment, by leading experts in their field. This covers the foundations of Bayesian inference, Markov chain Monte Carlo technique, model building, Approximate Bayesian Computation (ABC) and Bayesian nonparametric inference and clustering.

Caractéristiques techniques

	NUMERIQUE
Éditeur(s)	EDP Sciences
Auteur(s)	Jean-Baptiste Marquette, Didier Fraix-Burnet, Stéphane Girard, Julyan Arbel
Parution	19/09/2019
Nb. de pages	140
Contenu	PDF
EAN13	9782759822751