Bayesian Methods in Cosmology

Bayesian Methods in Cosmology
Author: Michael P. Hobson
Publisher: Cambridge University Press
Total Pages: 317
Release: 2010
Genre: Mathematics
ISBN: 0521887941

Comprehensive introduction to Bayesian methods in cosmological studies, for graduate students and researchers in cosmology, astrophysics and applied statistics.

Bayesian Methods in Cosmology

Bayesian Methods in Cosmology
Author: Michael P. Hobson
Publisher: Cambridge University Press
Total Pages: 0
Release: 2014-02-20
Genre: Science
ISBN: 9781107631755

In recent years cosmologists have advanced from largely qualitative models of the Universe to precision modelling using Bayesian methods, in order to determine the properties of the Universe to high accuracy. This timely book is the only comprehensive introduction to the use of Bayesian methods in cosmological studies, and is an essential reference for graduate students and researchers in cosmology, astrophysics and applied statistics. The first part of the book focuses on methodology, setting the basic foundations and giving a detailed description of techniques. It covers topics including the estimation of parameters, Bayesian model comparison, and separation of signals. The second part explores a diverse range of applications, from the detection of astronomical sources (including through gravitational waves), to cosmic microwave background analysis and the quantification and classification of galaxy properties. Contributions from 24 highly regarded cosmologists and statisticians make this an authoritative guide to the subject.

Bayesian Models for Astrophysical Data

Bayesian Models for Astrophysical Data
Author: Joseph M. Hilbe
Publisher: Cambridge University Press
Total Pages: 429
Release: 2017-04-27
Genre: Mathematics
ISBN: 1108210740

This comprehensive guide to Bayesian methods in astronomy enables hands-on work by supplying complete R, JAGS, Python, and Stan code, to use directly or to adapt. It begins by examining the normal model from both frequentist and Bayesian perspectives and then progresses to a full range of Bayesian generalized linear and mixed or hierarchical models, as well as additional types of models such as ABC and INLA. The book provides code that is largely unavailable elsewhere and includes details on interpreting and evaluating Bayesian models. Initial discussions offer models in synthetic form so that readers can easily adapt them to their own data; later the models are applied to real astronomical data. The consistent focus is on hands-on modeling, analysis of data, and interpretations that address scientific questions. A must-have for astronomers, its concrete approach will also be attractive to researchers in the sciences more generally.

Statistics for Astrophysics

Statistics for Astrophysics
Author: Jean-Baptiste Marquette
Publisher: EDP Sciences
Total Pages: 140
Release: 2019-09-19
Genre: Science
ISBN: 2759822753

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.

Bayesian Modeling Using WinBUGS

Bayesian Modeling Using WinBUGS
Author: Ioannis Ntzoufras
Publisher: John Wiley & Sons
Total Pages: 477
Release: 2011-09-20
Genre: Mathematics
ISBN: 1118210352

A hands-on introduction to the principles of Bayesian modeling using WinBUGS Bayesian Modeling Using WinBUGS provides an easily accessible introduction to the use of WinBUGS programming techniques in a variety of Bayesian modeling settings. The author provides an accessible treatment of the topic, offering readers a smooth introduction to the principles of Bayesian modeling with detailed guidance on the practical implementation of key principles. The book begins with a basic introduction to Bayesian inference and the WinBUGS software and goes on to cover key topics, including: Markov Chain Monte Carlo algorithms in Bayesian inference Generalized linear models Bayesian hierarchical models Predictive distribution and model checking Bayesian model and variable evaluation Computational notes and screen captures illustrate the use of both WinBUGS as well as R software to apply the discussed techniques. Exercises at the end of each chapter allow readers to test their understanding of the presented concepts and all data sets and code are available on the book's related Web site. Requiring only a working knowledge of probability theory and statistics, Bayesian Modeling Using WinBUGS serves as an excellent book for courses on Bayesian statistics at the upper-undergraduate and graduate levels. It is also a valuable reference for researchers and practitioners in the fields of statistics, actuarial science, medicine, and the social sciences who use WinBUGS in their everyday work.

Lectures on Cosmology

Lectures on Cosmology
Author: Georg Wolschin
Publisher: Springer
Total Pages: 188
Release: 2010-03-10
Genre: Science
ISBN: 364210598X

The lectures that four authors present in this volume investigate core topics related to the accelerated expansion of the Universe. Accelerated expansion occured in the ?36 very early Universe – an exponential expansion in the in ationary period 10 s after the Big Bang. This well-established theoretical concept had rst been p- posed in 1980 by Alan Guth to account for the homogeneity and isotropy of the observable universe, and simultaneously by Alexei Starobinski, and has since then been developed by many authors in great theoretical detail. An accelerated expansion of the late Universe at redshifts z

Observational Astronomy

Observational Astronomy
Author: Edmund C. Sutton
Publisher: Cambridge University Press
Total Pages: 427
Release: 2011-10-13
Genre: Science
ISBN: 1139504924

Astronomy is fundamentally an observational science and as such it is important for astronomers and astrophysicists to understand how their data are collected and analyzed. This book is a comprehensive review of current observational techniques and instruments. Featuring instruments such as Spitzer, Herschel, Fermi, ALMA, Super-Kamiokande, SNO, IceCube, the Auger Observatory, LIGO and LISA, the book discusses the capabilities and limitations of different types of instruments. It explores the sources and types of noise and provides statistical tools necessary for interpreting observational data. Due to the increasingly important role of statistical analysis, the techniques of Bayesian analysis are discussed, along with sampling techniques and model comparison. With topics ranging from fundamental subjects such as optics, photometry and spectroscopy, to neutrinos, cosmic rays and gravitational waves, this book is essential for graduate students in astronomy and physics. Electronic and colour versions of selected figures are available online at www. cambridge.org/9781107010468.

Bayesian Probability Theory

Bayesian Probability Theory
Author: Wolfgang von der Linden
Publisher: Cambridge University Press
Total Pages: 653
Release: 2014-06-12
Genre: Mathematics
ISBN: 1107035902

Covering all aspects of probability theory, statistics and data analysis from a Bayesian perspective for graduate students and researchers.

Statistics of the Galaxy Distribution

Statistics of the Galaxy Distribution
Author: Vicent J. Martinez
Publisher: CRC Press
Total Pages: 451
Release: 2001-12-20
Genre: Mathematics
ISBN: 1420036165

Over the last decade, statisticians have developed new statistical tools in the field of spatial point processes. At the same time, observational efforts have yielded a huge amount of new cosmological data to analyze. Although the main tools in astronomy for comparing theoretical results with observation are statistical, in recent years, cosmologis

Modern Statistical Methods for Astronomy

Modern Statistical Methods for Astronomy
Author: Eric D. Feigelson
Publisher: Cambridge University Press
Total Pages: 495
Release: 2012-07-12
Genre: Science
ISBN: 052176727X

Modern Statistical Methods for Astronomy: With R Applications.