Statistics for Astrophysics Bayesian Methodology

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 ne...

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Bibliographic Details
Main Author Marquette, Jean-Baptiste
Format eBook
LanguageEnglish
Published Les Ulis EDP Sciences 2021
Edition1
SeriesEDP Sciences Proceedings
Subjects
Astronomy & allied sciences
Astrophysics
Bayesian statistical decision theory
SCIENCE / Physics / Astrophysics
Online AccessGet full text
ISBN9782759822751
2759822753
9782759822744
2759822745
9782759817290
2759817296
DOI10.1051/978-2-7598-2275-1

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Table of Contents:
  • Intro -- Statistics for Astrophysics - Bayesian Methodology -- List of Participants -- Table of Contents -- Foreword -- BAYESIAN STATISTICAL METHODS FOR ASTRONOMY PART I: FOUNDATIONS -- 1 Foundations of Bayesian Data Analysis -- 2 Further Topics with Univariate Parameter Models -- 3 Final Comments -- References -- BAYESIAN STATISTICAL METHODS FOR ASTRONOMY PART II: MARKOV CHAIN MONTE CARLO -- 1 Introduction -- 2 Rejection Sampling -- 3 Markov Chain Monte Carlo -- 4 Practical Challenges and Advice -- 5 Overview of Recommended Strategy -- References -- BAYESIAN STATISTICAL METHODS FOR ASTRONOMY PART III: MODEL BUILDING -- 1 Introduction to Multi-Level Models -- 2 A Multilevel Model for Selection Effects -- 3 James-Stein Estimators and Shrinkage -- 4 Hierarchical Models and the Bayesian Perspective -- 5 Concluding Remarks -- Acknowledgements -- References -- APPROXIMATE BAYESIAN COMPUTATION, AN INTRODUCTION -- 1 Mudmap: ABC at a glance -- 2 ABC Basics -- 3 ABC Consistency -- 4 Summary Statistics, the ABC Conundrum -- 5 ABC Model Choice -- 6 Conclusion -- References -- CLUSTERING MILKY WAY'S GLOBULAR CLUSTERS: A BAYESIAN NONPARAMETRIC APPROACH -- 1 R requirements -- 2 Introduction and motivation -- 3 Model-based clustering -- 4 Bayesian nonparametrics around the Dirichlet process -- 5 Application to clustering of globulars of our galaxy -- Acknowledgements -- References
  • Acknowledgments --
  • APPROXIMATE BAYESIAN COMPUTATION, AN INTRODUCTION --
  • Table of Contents --
  • Organisers --
  • Lecturers --
  • Frontmatter --
  • BAYESIAN STATISTICAL METHODS FOR ASTRONOMY PART I: FOUNDATIONS --
  • CLUSTERING MILKY WAY’S GLOBULAR CLUSTERS: A BAYESIAN NONPARAMETRIC APPROACH
  • BAYESIAN STATISTICAL METHODS FOR ASTRONOMY PART III: MODEL BUILDING --
  • Foreword --
  • BAYESIAN STATISTICAL METHODS FOR ASTRONOMY PART II: MARKOV CHAIN MONTE CARLO --