Description

This volume describes how to develop Bayesian thinking, modelling and computation both from philosophical, methodological and application point of view. It further describes parametric and nonparametric Bayesian methods for modelling and how to use modern computational methods to summarize inferences using simulation. The book covers wide range of topics including objective and subjective Bayesian inferences with a variety of applications in modelling categorical, survival, spatial, spatiotemporal, Epidemiological, software reliability, small area and micro array data. The book concludes with a chapter on how to teach Bayesian thoughts to nonstatisticians.

Key Features:

- Critical thinking on causal effects
- Objective Bayesian philosophy
- Nonparametric Bayesian methodology
- Simulation based computing techniques
- Bioinformatics and Biostatistics

Key Features

Key Features:

· Critical thinking on causal effects
· Objective Bayesian philosophy
· Nonparametric Bayesian methodology
· Simulation based computing techniques
· Bioinformatics and Biostatistics

Readership

Graduate students in Statistics, faculty and researchers interested in Bayesian philosophy and methodology, Scientists and Libraries.

Table of Contents

Preface Contributors 1. Bayesian Inference for Casual Effects (Donald B. Rubin) 2. Reference Analysis (Josè M. Bernardo) 3. Probability Matching Priors (Gauri Sankar Datta and Trevor J. Sweeting) 4. Model Selection and Hypothesis Testing Based on Objective Probabilities and Bayes Factors (Luis Raul Pericchi) 5. Role of P-values and other measures of evidence in Bayesian Analysis (Jayanta Ghosh, Sumitra Purkayastha and Tapas Samanta) 6. Bayesian Model Checking and Model Diagnostics (Hal S. Stern and Sandip Sinharay) 7. The Elimination of Nuisance Parameters (Brunero Liseo) 8. Bayesian Estimation of Multivariate Location Parameters (Ann Cohen Brandwein and William E. Strawdermann) 9. Bayesian Nonparametric Modeling and Data Analysis: An Introduction (Timothy E. Hanson, Adam J. Branscum and Wesley O. Johnson) 10. Some Bayesian Nonparametric Models (Paul Damien) 11. Bayesian Modeling in the Wavelet Domain (Fabrizio Ruggeri and Brani Vidakovic) 12. Bayesian Nonparametric Inference (Stephen Walker) 13. Bayesian Methods for Function Estimation (Nidhan Choudhuri, Subhashis Ghosal and Anindya Roy) 14. MCMC Methods to Estimate Bayesian Parametric Models (Antonietta Mira) 15. Bayesian Computation: From Posterior Densities to Bayes Factors, Marginal Likelihoods, and Posterior Model Probabilities (Ming-Hui Chen) 16. Bayesian Modelling and Inference on Mixtures of Distributions (Jean-Michel Marin, Kerrie Mengersen and Christian P. Robert) 17. Simulation Based Optimal Design (Peter Müller) 18. Variable Selection and Covariance Selection in Multivariate Regression Models (Edward Cripps, Chris Carter and Robert Kohn) 19. Dynamic Models (Helio S. Mignon, Dani Gamerman, Hedibert F. Lopes and Marco A.R. Ferreira)

Details

No. of pages:
1062
Language:
English
Copyright:
© 2005
Published:
Imprint:
North Holland
eBook ISBN:
9780080461175
Print ISBN:
9780444515391

About the series-volume-editors

Dipak Dey

Affiliations and Expertise

University of Connecticut, CT, USA

C.R. Rao

C. R. Rao, born in India, is one of this century's foremost statisticians, and received his education in statistics at the Indian Statistical Institute (ISI), Calcutta. He is Emeritus Holder of the Eberly Family Chair in Statistics at Penn State and Director of the Center for Multivariate Analysis. He has long been recognized as one of the world's top statisticians, and has been awarded 34 honorary doctorates from universities in 19 countries spanning 6 continents. His research has influenced not only statistics, but also the physical, social and natural sciences and engineering. In 2011 he was recipient of the Royal Statistical Society's Guy Medal in Gold which is awarded triennially to those "who are judged to have merited a signal mark of distinction by reason of their innovative contributions to the theory or application of statistics". It can be awarded both to fellows (members) of the Society and to non-fellows. Since its inception 120 years ago the Gold Medal has been awarded to 34 distinguished statisticians. The first medal was awarded to Charles Booth in 1892. Only two statisticians, H. Cramer (Norwegian) and J. Neyman (Polish), outside Great Britain were awarded the Gold medal and C. R. Rao is the first non-European and non-American to receive the award. Other awards he has received are the Gold Medal of Calcutta University, Wilks Medal of the American Statistical Association, Wilks Army Medal, Guy Medal in Silver of the Royal Statistical Society (UK), Megnadh Saha Medal and Srinivasa Ramanujan Medal of the Indian National Science Academy, J.C.Bose Gold Medal of Bose Institute and Mahalanobis Centenary Gold Medal of the Indian Science Congress, the Bhatnagar award of the Council of Scientific and Industrial Research, India and the Government of India honored him with the second highest civilian award, Padma Vibhushan, for “outstanding contributions to Science and Engineering / Statistics”, and also instituted a cash award in honor of C R Rao, “to b

Affiliations and Expertise

The Pennsylvania State University, University Park, PA, USA