Fr. 217.20

Statistical Inference - An Integrated Bayesian/likelihood Approach

English · Hardback

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Zusatztext This interesting book on model selection provides a nice review of the frequentist! likelihood! and Bayesian approaches to inference and model comparison. ? an interesting book on model selection.-Cavan Reilly! Journal of the American Statistical Association! December 2011I like this book very much ? a worthy new tool based on the posterior distribution of the likelihood with good examples of its capabilities and limitations. ? I strongly recommend the book! enjoy Aitken's writing style! and recognize his many strong contributions to the methodological Bayesian literature.-Tom Burr! Technometrics! November 2011This is a stimulating book that should be of interest to Bayesians and statisticians with a general interest in statistical inference. ? It is likely to be controversial! even heretical! to Bayesians. However! this is precisely why it is worth reading: in exploring the new ideas! whether we ultimately accept them or not! we gain a better understanding of the current orthodoxy. ? one of the interesting contributions of the book is the discussion of the use of Bayes factors - if not 'from the inside!' at least from someone who has been thinking deeply about them for some time. ? The book contains some useful points that are known but ought to be better known! and it is useful to have a reference to them. ? I am pleased to have had the opportunity to read it.-A.H. Welsh! Australian & New Zealand Journal of Statistics! 2011The emphasis on evidence rather than decision theory makes the book especially relevant to scientific investigations. It gives interesting and thoughtful comparisons to alternative approaches to inference ? The very deep and solid inferential foundations the book lays support a carefully thought out and impressive superstructure! covering topics which include variance component models! finite mixtures! regression! anova! complex survey designs! and other topics. It would provide a valuable and thought-provoking volume for advanced students studying the foundations of inference and their practical implications. It would make a particularly good book for a reading group.-David Hand! International Statistical Review (2011)! 79! 1 Informationen zum Autor Murray Aitkin is an honorary professorial fellow in the Department of Mathematics and Statistics at the University of Melbourne in Australia. Klappentext Filling a gap in current Bayesian theory, "Statistical Inference: An Integrated Bayesian/Likelihood Approach" presents a unified Bayesian treatment of parameter inference and model comparisons that can be used with simple diffuse prior specifications. Zusammenfassung Sets out an integrated approach to statistical inference using the likelihood function as the primary measure of evidence for statistical model parameters, and for the statistical models themselves. This book provides both an alternative to standard Bayesian inference and the foundation for a course sequence in modern Bayesian theory. Inhaltsverzeichnis Theories of Statistical Inference. The Integrated Bayes/Likelihood Approach. t -Tests and Normal Variance Tests. Unified Analysis of Finite Populations. Regression and Analysis of Variance. Binomial and Multinomial Data. Goodness of Fit and Model Diagnostics. Complex Models. References. Indices. ...

Product details

Authors Murray Aitkin, Murray (University of Melbourne Aitkin
Assisted by Jianqing Fan (Editor of the series), Valerie Isham (Editor of the series), Niels Keiding (Editor of the series), Thomas A. Louis (Editor of the series), Susan.A Murphy (Editor of the series), Richard L. Smith (Editor of the series), Howell Tong (Editor of the series)
Publisher Taylor & Francis Ltd.
 
Languages English
Product format Hardback
Released 02.06.2010
 
EAN 9781420093438
ISBN 978-1-4200-9343-8
No. of pages 254
Series Chapman & Hall/CRC Monographs on Statistics & Applied Probability
Chapman & Hall/CRC Monographs on Statistics and Applied Probability
Subject Natural sciences, medicine, IT, technology > Mathematics > Probability theory, stochastic theory, mathematical statistics

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